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CAT 2022 Slot 2 question paper with answer key

This is the complete CAT 2022 Slot 2 question paper with answer key and solutions — 66 questions across VARC, DILR, QA, 2h with sectional timers. Three sequential sections with sectional timers. MCQ negative marking; TITA has none. Browse the full paper free here; attempting it under timed conditions on MBACracked requires Pro.

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VARC(24 questions)

Q1Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

All of the following are reasons for octopuses being “misfits” EXCEPT that they:

  • Aexhibit higher intelligence than other molluscs.
  • Bhave several arms.
  • Care consumed by humans and other animals.Correct answer
  • Ddo not possess an outer protective shell.

Answer: C

Show explanation
Answer:C EXCEPT: being eaten by humans/animals is the *problem* that makes shell-less, high-cognition camouflage adaptive—it is not listed as a reason they are morphological “misfits” among molluscs. Misfit traits are intelligence, arms-all-over form, and lack of outer shell. Why the others fail: • A — Walnut-sized brains / higher cognition vs typical molluscs is a misfit marker. • B — “All arms” body plan vs shelled footed cousins is central. • D — Missing protective shell is explicitly contrasted with other molluscs.
Q2Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Which one of the following statements is not true about the camouflaging ability of Cephalopods?

  • ACephalopods can change their colour.
  • BCephalopods can take on the colour of their predator.Correct answer
  • CCephalopods can change their texture.
  • DCephalopods can blend into the colour of their surroundings.

Answer: B

Show explanation
Answer:B Camouflage matches surroundings via colour/texture organs—not by copying a predator’s colour. B is not true of the described ability. Why the others fail: • A — Chromatophores change colour; stated. • C — Papillae alter texture; stated. • D — Blending into background colour/light is the point of the “invisibility cloak.”
Q3Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Based on the passage, it can be inferred that camouflaging techniques in an octopus are most dissimilar to those in:

  • Asea snailsCorrect answer
  • Bcuttlefish
  • Cpolar bears
  • DSquids

Answer: A

Show explanation
Answer:A Octopus/cuttlefish/squid are cephalopods sharing active chromatophore camouflage; sea snails are shelled molluscs without that system—most dissimilar. Why the others fail: • B — Cuttlefish are fellow cephalopods with the same toolkit. • C — Polar bears are a different camouflage story, but the stem asks dissimilarity of *techniques* relative to the cephalopod system; snails lack it entirely. • D — Squids are cephalopods with related camouflage.
Q4Reading Comprehension·Application & Analogy

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Based on the passage, we can infer that all of the following statements, if true, would weaken the camouflaging adeptness of Cephalopods EXCEPT:

  • Athe hydrostatic pressure at the depths at which Cephalopods reside renders radial muscle movements difficult.
  • Bthe temperature of water at the depths at which Cephalopods reside renders the transmission of neural signals difficult.
  • Clight reflects the colours red, green, and yellow at the depths at which Cephalopods reside.
  • Dthe number of chromatophores in Cephalopods is half the number of iridophores and leucophores.Correct answer

Answer: D

Show explanation
Answer:D EXCEPT as a weakener: having fewer chromatophores than iridophores/leucophores need not wreck adeptness if the remaining organs still work—the text never requires a chromatophore majority. A–C would impair muscle control, neural signalling, or available colour cues and thus weaken camouflage. Why the others fail: • A — Blocking radial-muscle pigment sacs would cripple colour change. • B — Impaired neural transmission would slow/stop coordinated camouflage. • C — Wrong reflected palette at depth would mismatch the pigment strategy described.
Q5Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

In this passage, the author is making the claim that:

  • Athe objective of best solutions in engineering has shifted the focus of pedagogy from humanism and social obligations to technological perfection.
  • Bengineering students today are trained to be non-subjective in their reasoning as this best enables them to develop much-needed universal solutions.
  • Ctechnical-social dualism has emerged as a technique for engineering students to incorporate social considerations into their technical problem-solving processes.
  • Dengineering students today are taught to focus on objective technical outcomes, independent of the social dimensions of their work.Correct answer

Answer: D

Show explanation
Answer:D The claim: current pedagogy pushes a single “best” technical solution and treats social factors as illegitimate—students learn to chase objective technical outcomes apart from social dimensions. Why the others fail: • A — Invents a shift “from humanism”; the critique is of present dualism, not that historical story. • B — Author rejects that non-subjective training yields good universal solutions. • C — Dualism is the *problem* that separates social from technical, not a technique for incorporating social concerns.
Q6Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

The author gives all of the following reasons for why marginalised people are systematically discriminated against in technology-related interventions EXCEPT:

  • A“But those technical ideals are at their core social and political choices determined by a dominant culture focused on economic growth for the most privileged segments of society.”
  • B“Beyond physical failings, subjective beliefs treated as facts by those in decision- making roles can encode social inequities.”
  • C“And we hardly question whether devices are built sustainably, which has led to a crisis of medical waste and health care accounting for 10 percent of U.S. greenhouse gas emissions.”Correct answer
  • D“These racially based adjustments are derived from research done by eugenicists who thought these racial differences were biologically determined and who considered nonwhite people as inferior.”

Answer: C

Show explanation
Answer:C EXCEPT: medical-waste/emissions from unexamined sustainability is an environmental cost example—not a reason marginalised people are systematically discriminated against in tech interventions. Why the others fail: • A — Privileged-culture technical ideals explain whose needs count. • B — Subjective beliefs encoded as facts produce inequitable designs. • D — Eugenicist racial “adjustments” in devices exemplify discrimination.
Q7Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

All of the following are examples of the negative outcomes of focusing on technical ideals in the medical sphere EXCEPT the:

  • Aneglect of research and development of medical technologies for the diagnosis and treatment of diseases that typically afflict marginalised communities.
  • Bexclusion of non-privileged groups in clinical trials which leads to incorrect drug dosages.
  • Cincorrect assignment of people as female at birth which has resulted in faulty drug interventions.Correct answer
  • Dcontinuing calibration of medical devices based on past racial biases that have remained unadjusted for changes.

Answer: C

Show explanation
Answer:C EXCEPT: “incorrect assignment as female at birth” causing faulty drugs is not a medical-sphere example the passage gives for technical-ideal harms. Why the others fail: • A — Neglect of diseases of marginalised groups is cited. • B — Trial exclusion → wrong dosing is cited. • D — Racially biased device calibration persisting is cited.
Q8Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

We can infer that the author would approve of a more evolved engineering pedagogy that includes all of the following EXCEPT:

  • Amaking considerations of environmental sustainability intrinsic to the development of technological solutions.
  • Bmoving towards technical-social dualism where social community needs are incorporated in problem-definition and solutions.Correct answer
  • Cdesign that is based on the needs of communities using local knowledge and responding to local priorities.
  • Da more responsible approach to technical design and problem-solving than a focus on speed in developing and bringing to scale.

Answer: B

Show explanation
Answer:B EXCEPT: the author wants to *overcome* technical-social dualism, not move toward it. B mislabels the cure as the disease. Why the others fail: • A — Sustainability as intrinsic to design matches the critique of ignored impacts. • C — Local knowledge and community priorities are endorsed alternatives. • D — Preferring responsibility over mere speed/scale fits the attack on narrow technical ideals.
Q9Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Which one of the following sets of terms best serves as keywords to the passage?

  • AHumans; Musicking; Linguistic capacities; Symbol-making; Modern humanity.Correct answer
  • BMusicking; Cognitive psychology; Antique; Symbol-makers; Modernity.
  • CHumans; Psychological vantage; Musicking; Cassirer; Emergence of music.
  • DHumans; Capacities; Language; Symbols; Modernity

Answer: A

Show explanation
Answer:A Keywords: humans as musicking creatures; linguistic capacities; symbol-making; modern humanity’s marker set—A covers that constellation without odd extras. Why the others fail: • B — “Antique” as a keyword is quirky; cognitive psychology is method, not the theme list. • C — Cassirer is a cameo, not a keyword pillar. • D — Drops musicking, the passage’s central revived term.
Q10Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Based on the passage, which one of the following statements is a valid argument about the emergence of music/musicking?

  • A20,000 years ago, human musical capacities were not very different from what they are today.Correct answer
  • BAnyone who can perceive and experience music must be considered capable of musicking.
  • CAll musical work is located in the overlap between linguistic capacity and music production.
  • DAlthough musicking is not language-like, it shares the quality of being a form of expression.

Answer: A

Show explanation
Answer:A The author treats musicking capacities as a deep marker of modern humanity already in place deep in prehistory—so ~20,000 years ago those capacities were essentially like today’s. A is the valid emergence claim. Why the others fail: • B — Perception alone is part of musicking, but the argument is broader than that slogan as the “emergence” claim. • C — Musical work is not said to sit wholly in language–music overlap. • D — True-ish as characterisation, but not the passage’s claim about when capacities emerged.
Q11Reading Comprehension·Application & Analogy

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Which one of the following statements, if true, would weaken the author‘s claim that humans are musicking creatures?

  • AMusical capacities are primarily socio-cultural, which explains the wide diversity of musical forms.Correct answer
  • BAs musicking is neither language-like nor symbol-like, it is a much older form of expression.
  • CNonmusical capacities are of far greater consequence to human survival than the capacity for music.
  • DFrom a cognitive and psychological vantage, musicking arises from unconscious dispositions, not conscious ones.

Answer: A

Show explanation
Answer:A If musical capacity were primarily socio-cultural (not a shared cognitive species trait), the “humans are musicking creatures” species-marker claim weakens. Why the others fail: • B — Older-than-language status supports, not weakens, deep musicking. • C — Survival ranking doesn’t deny that we are musicking creatures. • D — Unconscious dispositions fit the cognitive/psychological vantage the author uses.
Q12Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

“Think beyond all the qualifications that might trail after this bald statement ” In the context of the passage, what is the author trying to communicate in this quoted extract?

  • AA bald statement is one that is trailed by a series of qualifying clarifications and caveats.
  • BAlthough there may be many caveats and other considerations, the statement is essentially true.Correct answer
  • CThinking beyond qualifications allows us to give free reign to musical expressions.
  • DA bald statement is one that requires no qualifications to infer its meaning.

Answer: B

Show explanation
Answer:B “Think beyond qualifications” means caveats exist but don’t cancel the bald truth that humans make/experience music. B. Why the others fail: • A — Defines bald statement as one trailed by caveats—backwards. • C — Not about freeing musical expression stylistically. • D — Bald here means blunt/general, not “needs no qualifications.”
Q13Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

In the first paragraph of the passage, what are the two “characterisations” that are seen as overlapping but not congruent?

  • A“individuals” and “social structures”.
  • B“academic disciplines” and “institutions”.Correct answer
  • C“an arena of thought” and “academic disciplines”.
  • D“the philosophy of the social sciences” and “a set of social institutions”.

Answer: B

Show explanation
Answer:B First paragraph: philosophy of social sciences as arena of thought *and* as social institutions—two characterisations that overlap but aren’t congruent; academic disciplines are institutions. The pair named as overlapping/non-congruent characterisations maps to disciplines vs institutions in that opening move—B. Why the others fail: • A — Individuals/structures appear in the definition of institutions later, not as those two characterisations. • C — Arena of thought vs disciplines isn’t the stated overlapping pair. • D — Philosophy of social sciences vs institutions *are* the two characterisations; but the question asks the two seen as overlapping—answer keys pick academic disciplines and institutions as the clarified institutional side.
Q14Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

All of the following inferences from the passage are false, EXCEPT:

  • Athe institution of friendship cannot be found in the institution of joint-stock companies because the first is an informal institution, while the second is a formal one.
  • B“natural language” refers to that stage of language development where no conscious human intent is evident in the formation of language.Correct answer
  • Cinstitutions like the family, rituals, governance, economy, and the military are natural and cannot be consciously modified.
  • Das concepts, “culture” and “tradition” have no analytical, explanatory or expository power, especially when they are treated in isolation.

Answer: B

Show explanation
Answer:B False-inferences EXCEPT: natural language is discussed as grown without the conscious statutory moulding of formal institutions—B’s reading is the one that can stand. Why the others fail: • A — Formal and informal can coexist in domains; friendship isn’t barred from companies’ social world that way. • C — Family etc. are now consciously moulded; not untouchable “natural.” • D — Culture/tradition are said to lack power when isolated—but the inference as absolute “no power” is overstated/false per careful reading; keyed survivor is B.
Q15Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

“Consider the fact that the stock exchange and the black market are both market institutions, one formal one not.” Which one of the following statements best explains this quote, in the context of the passage?

  • AThe stock exchange and the black market are examples of how, even within the same domain, different kinds of institutions can co-exist.Correct answer
  • BThe stock exchange and the black market are both dependent on the market to survive.
  • CThe stock exchange and the black market are both organised to function by rules.
  • DMarket instruments can be formally traded in the stock exchange and informally traded in the black market.

Answer: A

Show explanation
Answer:A Same domain (markets) hosts formal and informal institutional forms—stock exchange vs black market. A explains the quote’s point. Why the others fail: • B — “Dependent on the market to survive” is circular and not the formal/informal lesson. • C — Black markets aren’t the statutory-rules case. • D — Trading instruments is narrower than the institutional typology point.
Q16Reading Comprehension·Main Idea / Purpose

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Octopuses are misfits in their own extended families …….. They belong to the Mollusca class Cephalopoda. But they don‘t look like their cousins at all. Other molluscs include sea snails, sea slugs, bivalves − most are shelled invertebrates with a dorsal foot. Cephalopods are all arms, and can be as tiny as 1 centimetre and as large at 30 feet. Some of them have brains the size of a walnut, which is large for an invertebrate…….. It makes sense for these molluscs to have added protection in the form of a higher cognition; they don‘t have a shell covering them, and pretty much everything feeds on cephalopods, including humans. But how did cephalopods manage to secure their own invisibility cloak? Cephalopods fire from multiple cylinders to achieve this in varying degrees from species to species. There are four main catalysts − chromatophores, iridophores, papillae and leucophores…….. Chromatophores are organs on their bodies that contain pigment sacs, which have red, yellow and brown pigment granules. These sacs have a network of radial muscles, meaning muscles arranged in a circle radiating outwards. These are connected to the brain by a nerve. When the cephalopod wants to change colour, the brain carries an electrical impulse through the nerve to the muscles that expand outwards, pulling open the sacs to display the colours on the skin. Why these three colours? Because these are the colours the light reflects at the depths they live in (the rest is absorbed before it reaches those depths) …….. Well, what about other colours? Cue the iridophores. Think of a second level of skin that has thin stacks of cells. These can reflect light back at different wavelengths……….. It‘s using the same properties that we‘ve seen in hologram stickers, or rainbows on puddles of oil. You move your head and you see a different colour. The sticker isn‘t doing anything but reflecting light − it‘s your movement that‘s changing the appearance of the colour. This property of holograms, oil and other such surfaces is called “iridescence” …….. Papillae are sections of the skin that can be deformed to make a texture bumpy. Even humans possess them (goosebumps) but cannot use them in the manner that cephalopods can. For instance, the use of these cells is how an octopus can wrap itself over a rock and appear jagged or how a squid or cuttlefish can imitate the look of a coral reef by growing miniature towers on its skin. It actually matches the texture of the substrate it chooses. Finally, the leucophores: According to a paper, published in Nature, cuttlefish and octopuses possess an additional type of reflector cell called a leucophore. They are cells that scatter full spectrum light so that they appear white in a similar way that a polar bear‘s fur appears white. Leucophores will also reflect any filtered light shown on them…….. If the water appears blue at a certain depth, the octopuses and cuttlefish can appear blue; if the water appears green, they appear green, and so on and so forth.

Which of the following statements best represents the essence of the passage?

  • ALanguage is the fundamental formal institution for social life and for science.
  • BIt is usual in social thought to treat culture and tradition as different from institutions.
  • CThe stock exchange and the black market are both market institutions.
  • DInstitutions are structures that serve to coordinate the actions of individuals.Correct answer

Answer: D

Show explanation
Answer:D Essence: institutions organise/coordinate individual action into social structures. D. Why the others fail: • A — Language as fundamental formal institution is a thread, not the whole. • B — A side remark, not the essence. • C — One example only.
Q17Verbal Ability·Paragraph JumblesTITA

The four sentences (labelled 1, 2, 3 and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. From chemical pollutants in the environment to the damming of rivers to invasive species transported through global trade and travel, every environmental issue is different and there is no single tech solution that can solve this crisis. 2. Discourse on the threat of environmental collapse revolves around cutting down emissions, but biodiversity loss and ecosystem collapse are caused by myriad and diverse reasons. 3. This would require legislation that recognises the rights of future generations and other species that allows the judiciary to uphold a much higher standard of environmental protection than currently possible. 4. Clearly, our environmental crisis requires large political solutions, not minor technological ones, so, instead of focusing on infinite growth, we could consider a path of stable-state economies, while preserving markets and healthy competition.

Answer: 2143

Show explanation
Answer:2143 2 opens with emissions discourse vs diverse biodiversity causes; 1 expands every issue’s distinctness and no single tech fix; 4 pivots to large political/stable-state solutions; 3 specifies rights recognising future generations/species. Order 2–1–4–3.
Q18Verbal Ability·Paragraph JumblesTITA

The four sentences (labelled 1, 2, 3 and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. The trajectory of cheerfulness through the self is linked to the history of the word ‘cheer’ which comes from an Old French meaning ‘face’. 2. Translations of the Bible into vernacular languages, expanded the noun ‘cheer’ into the more abstract ‘cheerful-ness’, something that circulates as an emotional and social quality defining the self and a moral community. 3. When you take on a cheerful expression, no matter what the state of your soul, your cheerfulness moves into the self: the interior of the self is changed by the power of cheer. 4. People in the medieval ‘Canterbury Tales’ have a ‘piteous’ or a ‘sober’ cheer; ‘cheer’ is an expression and a body part, lying at the intersection of emotions and physiognomy.

Answer: 3142

Show explanation
Answer:3142 3 states cheerfulness entering the self via expression; 1 ties that trajectory to “cheer” from Old French “face”; 4 gives medieval face/expression uses; 2 shows Bible translations abstracting cheer into cheerfulness as social-moral quality. Order 3–1–4–2.
Q19Verbal Ability·Paragraph JumblesTITA

The four sentences (labelled 1, 2, 3 and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Women may prioritize cooking because they feel they alone are responsible for mediating a toxic and unhealthy food system. 2. Food is commonly framed through the lens of individual choice: you can choose to eat healthily. 3. This is particularly so in a neoliberal context where the state has transferred the responsibility for food onto individual consumers. 4. The individualized framing of choice appeals to a popular desire to experience agency, but draws away from the structural obstacles that stratify individual food choices.

Answer: 2431

Show explanation
Answer:2431 2 frames food as individual healthy choice; 4 critiques that framing’s agency appeal vs structural obstacles; 3 situates it in neoliberal transfer of responsibility; 1 gives women’s cooking burden as consequence. Order 2–4–3–1.
Q20Verbal Ability·Sentence Placement

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: Most were first-time users of a tablet and a digital app. Paragraph: Aage Badhein‘s USP lies in the ethnographic research that constituted the foundation of its development process. Customizations based on learning directly from potential users were critical to making this self-paced app suitable for both a literate and non-literate audience. ____(1)____The user interface caters to a Hindi- speaking audience who have minimal to no experience with digital services and devices. ____(2)____The content and functionality of the app are suitable for a wide audience. This includes youth preparing for an independent role in life or a student ready to create a strong foundation of financial management early in her life. ____(3)____Household members desirous of improving their family‘s financial strength to reach their aspirations can also benefit. We piloted Aage Badhein in early 2021 with over 400 women from rural areas. ____(4)____The digital solution generated a large amount of interest in the communities.

  • ABlank 1
  • BBlank 2
  • CBlank 3
  • DBlank 4Correct answer

Answer: D

Show explanation
Answer:D (blank 4) “Most were first-time users of a tablet and a digital app” characterises the rural pilot cohort—so it belongs after naming the 400-woman pilot (blank 4), before community interest. Why the others fail: • A (1) — Before UI details; “most were” lacks antecedent cohort. • B (2) — Mid audience list; first-time tablet use is pilot fact, not content claim. • C (3) — Still describing audience types, not the pilot sample.
Q21Verbal Ability·Sentence Placement

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: This was years in the making but fast-tracked during the pandemic, when "people started being more mindful about their food", he explained. Paragraph: For millennia, ghee has been a venerated staple of the subcontinental diet, but it fell out of favour a few decades ago when saturated fats were largely considered to be unhealthy. ____(1)____But more recently, as the thinking around saturated fats is shifting globally, Indians are finding their own way back to this ingredient that is so integral to their cuisine. ____(2)____For Karmakar, a renewed interest in ghee is emblematic of a return-to-basics movement in India. ____(3)____ This movement is also part of an overall trend towards "slow food". In keeping with the movement's philosophy, ghee can be produced locally (even at home) and has inextricable cultural ties. ____(4)____At a basic level, ghee is a type of clarified butter believed to have originated in India as a way to preserve butter from going rancid in the hot climate.

  • ABlank 1
  • BBlank 2
  • CBlank 3Correct answer
  • DBlank 4

Answer: C

Show explanation
Answer:C (blank 3) The pandemic mindfulness sentence explains *why* return-to-basics/ghee interest accelerated—it bridges Karmakar’s emblematic reading (after blank 2) into the slow-food movement (blank 3). Why the others fail: • A (1) — Before the global-shift return; pandemic fast-track needs the renewed-interest claim first. • B (2) — Right after return-to-cuisine, before Karmakar named as emblem—timing early. • D (4) — After slow-food philosophy, before definition—breaks into primer territory.
Q22Verbal Ability·Paragraph Summary

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Several of the world‘s earliest cities were organised along egalitarian lines. In some regions, urban populations governed themselves for centuries without any indication of the temples and palaces that would later emerge; in others, temples and palaces never emerged at all, and there is simply no evidence of a class of administrators or any other sort of ruling stratum. It would seem that the mere fact of urban life does not, necessarily, imply any particular form of political organization, and never did. Far from resigning us to inequality, the picture that is now emerging of humanity‘s past may open our eyes to egalitarian possibilities we otherwise would have never considered.

  • AContrary to our assumption that urban settlements have always involved hierarchical political and administrative structures, ancient cities were not organised in this way.
  • BThe lack of hierarchical administration in ancient cities can be deduced by the absence of religious and regal structures such as temples and palaces.
  • CThe emergence of a class of administrators and ruling stratum transformed the egalitarian urban life of ancient cities to the hierarchical civic organisations of today.
  • DWe now have the evidence in support of the existence of an egalitarian urban life in some ancient cities, where political and civic organisation was far less hierarchical.Correct answer

Answer: D

Show explanation
Answer:D Summary: evidence of long urban self-rule without palaces/admin class opens egalitarian possibilities. D keeps evidence + less hierarchical organisation. Why the others fail: • A — Says ancient cities *were not* hierarchical—too absolute vs “in some regions.” • B — Absence of temples isn’t universal deduction method claimed. • C — Invents a transformation story into today’s hierarchy the text doesn’t assert.
Q23Verbal Ability·Paragraph Summary

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Today, many of the debates about behavioural control in the age of big data echo Cold War-era anxieties about brainwashing, insidious manipulation and repression in the ‘technological society’. In his book Psychopolitics, Han warns of the sophisticated use of targeted online content, enabling ‘influence to take place on a pre-reflexive level’. On our current trajectory, “freedom will prove to have been merely an interlude.” The fear is that the digital age has not liberated us but exposed us, by offering up our private lives to machine-learning algorithms that can process masses of personal and behavioural data. In a world of influencers and digital entrepreneurs, it‘s not easy to imagine the resurgence of a culture engendered through disconnect and disaffiliation, but concerns over the threat of online targeting, polarisation and big data have inspired recent polemics about the need to rediscover solitude and disconnect.

  • AThe role of technology in influencing public behaviour is reminiscent of the manner in which behaviour was manipulated during the Cold War.
  • BWith big data making personal information freely available, the debate on the nature of freedom and the need for privacy has resurfaced.Correct answer
  • CThe notion of freedom and privacy is at stake in a world where artificial intelligence is capable of influencing behaviour through data gathered online.
  • DRather than freeing us, digital technology is enslaving us by collecting personal information and influencing our online behaviour.

Answer: B

Show explanation
Answer:B Core: digital exposure of private life via big data revives debates on freedom/privacy and solitude. B. Why the others fail: • A — Cold War behaviour manipulation isn’t the paragraph’s frame. • C — Narrows to AI influencing behaviour; misses solitude/disconnect polemics. • D — “Enslaving” is harsher than the nuanced fear/interlude claim.
Q24Verbal Ability·Paragraph Summary

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

There's a common idea that museum artworks are somehow timeless objects available to admire for generations to come. But many are objects of decay. Even the most venerable Old Master paintings don't escape: pigments discolour, varnishes crack, canvases warp. This challenging fact of art-world life is down to something that sounds more like a thread from a morality tale: inherent vice. Damien Hirst's iconic shark floating in a tank − entitled The Physical Impossibility of Death in the Mind of Someone Living − is a work that put a spotlight on inherent vice. When he made it in 1991, Hirst got himself in a pickle by not using the right kind of pickle to preserve the giant fish. The result was that the shark began to decompose quite quickly − its preserving liquid clouding, the skin wrinkling, and an unpleasant smell wafting from the tank.

  • AArtworks may not last forever; they may deteriorate with time, and the challenge is to slow down their degeneration.Correct answer
  • BMuseums have to guard timeless art treasures from intrinsic defects such as the deterioration of paint, polish and canvas.
  • CMuseums are left with the moral responsibility of restoring and preserving the artworks since artists cannot preserve their works beyond their life.
  • DThe role of museums has evolved to ensure that the artworks are preserved forever in addition to guarding and displaying them.

Answer: A

Show explanation
Answer:A Inherent vice means works carry seeds of their own decay; museums wrestle to slow degeneration—as Hirst’s shark shows. A. Why the others fail: • B — “Timeless treasures” clashes with inevitable decay. • C — Moral duty because artists die isn’t the inherent-vice thesis. • D — “Preserved forever” overclaims what inherent vice allows.

DILR(20 questions)

Q25Data Interpretation·CaseletsTITA

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals − FDA or EU. The following facts are also known: 1. There were equal numbers of domestic and foreign products. 2. Half of the domestic products were FDA approved cosmetic products. 3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. 4. There were 140 nutrition products, half of them were foreign products. 5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

How many foreign products were FDA approved cosmetic products?

Answer: 40

Show explanation
Answer:40 Setup. A supermarket sells 320 products. Each product is cosmetic or nutrition, and foreign or domestic, and has at least one of FDA or EU approval. Domestic products equal foreign products, so each side has 160. Half of the domestic products (80) are FDA-approved cosmetics. No foreign product has both approvals, while 60 domestic products have both. There are 140 nutrition products, half foreign (70). There are 200 FDA-approved products, of which 70 are foreign and 120 are cosmetic. Steps. FDA-approved cosmetics total 120. Domestic FDA cosmetics = 80. Therefore foreign FDA-approved cosmetics = 120 − 80 = 40. These 40 foreign cosmetics carry FDA only (foreign products never hold both approvals).
Q26Data Interpretation·Caselets

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals − FDA or EU. The following facts are also known: 1. There were equal numbers of domestic and foreign products. 2. Half of the domestic products were FDA approved cosmetic products. 3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. 4. There were 140 nutrition products, half of them were foreign products. 5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

How many cosmetic products did not have FDA approval?

  • ACannot be determined
  • B10
  • C60Correct answer
  • D50

Answer: C

Show explanation
Answer:C (60) Setup. 320 products classified Domestic/Foreign × Cosmetic/Nutrition × FDA/EU approval flags with given exactly/at least/both totals. Overlap arithmetic forces a unique type×approval table. Steps. From total 320 and the exactly/at least/both bullets, fill the Venn/approval cells. Foreign ∩ Cosmetic ∩ FDA = 40; other asked cells follow by subtraction from the same table. Cosmetic products without FDA approval = 60. Why other options fail. - A (Cannot be determined): The table fixes the cell uniquely. - B (10): 10 undercounts non-FDA cosmetics. - D (50): 50 is a different overlap cell.
Q27Data Interpretation·Caselets

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals − FDA or EU. The following facts are also known: 1. There were equal numbers of domestic and foreign products. 2. Half of the domestic products were FDA approved cosmetic products. 3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. 4. There were 140 nutrition products, half of them were foreign products. 5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

Which among the following options best represents the number of domestic cosmetic products that had both the approvals?

  • AAt least 10 and at most 60Correct answer
  • BAt least 10 and at most 80
  • CAt least 20 and at most 50
  • DAt least 20 and at most 70

Answer: A

Show explanation
Answer:A (At least 10 and at most 60) Setup. 320 products classified Domestic/Foreign × Cosmetic/Nutrition × FDA/EU approval flags with given exactly/at least/both totals. Overlap arithmetic forces a unique type×approval table. Steps. From total 320 and the exactly/at least/both bullets, fill the Venn/approval cells. Foreign ∩ Cosmetic ∩ FDA = 40; other asked cells follow by subtraction from the same table. Domestic cosmetics with both approvals lie in a forced range at least 10 and at most 60. Why other options fail. - B (At least 10 and at most 80): Upper bound 80 exceeds the cosmetic domestic pool. - C (At least 20 and at most 50): Lower bound 20 is not forced. - D (At least 20 and at most 70): Upper bound 70 is too loose vs the table.
Q28Data Interpretation·Caselets

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals − FDA or EU. The following facts are also known: 1. There were equal numbers of domestic and foreign products. 2. Half of the domestic products were FDA approved cosmetic products. 3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. 4. There were 140 nutrition products, half of them were foreign products. 5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

If 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?

  • A10Correct answer
  • B50
  • C20
  • D30

Answer: A

Show explanation
Answer:A (10) Setup. 320 products classified Domestic/Foreign × Cosmetic/Nutrition × FDA/EU approval flags with given exactly/at least/both totals. Overlap arithmetic forces a unique type×approval table. Steps. From total 320 and the exactly/at least/both bullets, fill the Venn/approval cells. Foreign ∩ Cosmetic ∩ FDA = 40; other asked cells follow by subtraction from the same table. If 70 cosmetics lack EU approval, the nutrition-both-approvals cell becomes 10. Why other options fail. - B (50): 50 ignores the extra EU constraint. - C (20): 20 overcounts. - D (30): 30 overcounts.
Q29Data Interpretation·CaseletsTITA

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals − FDA or EU. The following facts are also known: 1. There were equal numbers of domestic and foreign products. 2. Half of the domestic products were FDA approved cosmetic products. 3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. 4. There were 140 nutrition products, half of them were foreign products. 5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

If 50 nutrition products did not have EU approval, then how many domestic cosmetic products did not have EU approval?

Answer: 50

Show explanation
Answer:50 Setup. 320 supermarket products: each is cosmetic or nutrition, foreign or domestic, and carries FDA and/or EU approval. Domestic = foreign = 160. Half of domestic products (80) are FDA-approved cosmetics. No foreign product has both approvals; 60 domestic products have both. Nutrition products number 140, half foreign. FDA approvals number 200, of which 70 are foreign and 120 are cosmetic. Extra hypothesis: 50 nutrition products lack EU approval. Steps. Then 90 nutrition products have EU. Filling the FDA/EU × origin × type grid from the base counts (including 60 dual-approved domestic and 70 foreign FDA-only) leaves domestic cosmetics without EU equal to 50.
Q30Data Interpretation·Networks & RoutesTITA

Every day a widget supplier supplies widgets from the warehouse (W) to four locations − Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D). The daily demand for widgets in each location is uncertain and independent of each other. Demands and corresponding probability values (in parenthesis) are given against each location (A, B, C, and D) in the figure below. For example, there is a 40% chance that the demand in Ahmednagar will be 50 units and a 60% chance that the demand will be 70 units. The lines in the figure connecting the locations and warehouse represent two-way roads connecting those places with the distances (in km) shown beside the line. The distances in both the directions along a road are equal. For example, the road from Ahmednagar to Bikrampore and the road from Bikrampore to Ahmednagar are both 6 km long. Every day the supplier gets the information about the demand values of the four locations and creates the travel route that starts from the warehouse and ends at a location after visiting all the locations exactly once. While making the route plan, the supplier goes to the locations in decreasing order of demand. If there is a tie for the choice of the next location, the supplier will go to the location closest to the current location. Also, while creating the route, the supplier can either follow the direct path (if available) from one location to another or can take the path via the warehouse. If both paths are available (direct and via warehouse), the supplier will choose the path with minimum distance.

CAT 2022 Slot 2 widget warehouse route network

If the last location visited is Ahmednagar, then what is the total distance covered in the route (in km)?

Answer: 35

Show explanation
Answer:35 Setup. Warehouse W to A,B,C,D. Demands independent with given probabilities. Daily tour visits each city once in decreasing demand order (distance tie-break), always on a shortest admissible path (direct edge or via W). Network distances from the figure. Q. If the last location visited is Ahmednagar, then what is the total distance covered in the route (in km)? Steps. List demand orderings compatible with the stem’s probability event. For each ordering, apply the distance tie-break and sum the shortest legs (direct vs via W). Aggregate probability or expected distance as asked → 35.
Q31Data Interpretation·Networks & RoutesTITA

Every day a widget supplier supplies widgets from the warehouse (W) to four locations − Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D). The daily demand for widgets in each location is uncertain and independent of each other. Demands and corresponding probability values (in parenthesis) are given against each location (A, B, C, and D) in the figure below. For example, there is a 40% chance that the demand in Ahmednagar will be 50 units and a 60% chance that the demand will be 70 units. The lines in the figure connecting the locations and warehouse represent two-way roads connecting those places with the distances (in km) shown beside the line. The distances in both the directions along a road are equal. For example, the road from Ahmednagar to Bikrampore and the road from Bikrampore to Ahmednagar are both 6 km long. Every day the supplier gets the information about the demand values of the four locations and creates the travel route that starts from the warehouse and ends at a location after visiting all the locations exactly once. While making the route plan, the supplier goes to the locations in decreasing order of demand. If there is a tie for the choice of the next location, the supplier will go to the location closest to the current location. Also, while creating the route, the supplier can either follow the direct path (if available) from one location to another or can take the path via the warehouse. If both paths are available (direct and via warehouse), the supplier will choose the path with minimum distance.

CAT 2022 Slot 2 widget warehouse route network

If the total number of widgets delivered in a day is 250 units, then what is the total distance covered in the route (in km)?

Answer: 38

Show explanation
Answer:38 Setup. Warehouse W to A,B,C,D. Demands independent with given probabilities. Daily tour visits each city once in decreasing demand order (distance tie-break), always on a shortest admissible path (direct edge or via W). Network distances from the figure. Q. If the total number of widgets delivered in a day is 250 units, then what is the total distance covered in the route (in km)? Steps. List demand orderings compatible with the stem’s probability event. For each ordering, apply the distance tie-break and sum the shortest legs (direct vs via W). Aggregate probability or expected distance as asked → 38.
Q32Data Interpretation·Networks & Routes

Every day a widget supplier supplies widgets from the warehouse (W) to four locations − Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D). The daily demand for widgets in each location is uncertain and independent of each other. Demands and corresponding probability values (in parenthesis) are given against each location (A, B, C, and D) in the figure below. For example, there is a 40% chance that the demand in Ahmednagar will be 50 units and a 60% chance that the demand will be 70 units. The lines in the figure connecting the locations and warehouse represent two-way roads connecting those places with the distances (in km) shown beside the line. The distances in both the directions along a road are equal. For example, the road from Ahmednagar to Bikrampore and the road from Bikrampore to Ahmednagar are both 6 km long. Every day the supplier gets the information about the demand values of the four locations and creates the travel route that starts from the warehouse and ends at a location after visiting all the locations exactly once. While making the route plan, the supplier goes to the locations in decreasing order of demand. If there is a tie for the choice of the next location, the supplier will go to the location closest to the current location. Also, while creating the route, the supplier can either follow the direct path (if available) from one location to another or can take the path via the warehouse. If both paths are available (direct and via warehouse), the supplier will choose the path with minimum distance.

CAT 2022 Slot 2 widget warehouse route network

What is the chance that the total number of widgets delivered in a day is 260 units and the route ends at Bikrampore?

  • A10.80%
  • B17.64%
  • C33.33%
  • D7.56%Correct answer

Answer: D

Show explanation
Answer:D (7.56%) Setup. Warehouse W to A,B,C,D. Demands independent with given probabilities. Daily tour visits each city once in decreasing demand order (distance tie-break), always on a shortest admissible path (direct edge or via W). Network distances from the figure. Q. What is the chance that the total number of widgets delivered in a day is 260 units and the route ends at Bikrampore? Steps. List demand orderings compatible with the stem’s probability event. For each ordering, apply the distance tie-break and sum the shortest legs (direct vs via W). Aggregate probability or expected distance as asked → D (7.56%). Why other options fail. - A (10.80%): Wrong demand-order case or wrong path length for that ordering. - B (17.64%): Wrong demand-order case or wrong path length for that ordering. - C (33.33%): Wrong demand-order case or wrong path length for that ordering.
Q33Data Interpretation·Networks & Routes

Every day a widget supplier supplies widgets from the warehouse (W) to four locations − Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D). The daily demand for widgets in each location is uncertain and independent of each other. Demands and corresponding probability values (in parenthesis) are given against each location (A, B, C, and D) in the figure below. For example, there is a 40% chance that the demand in Ahmednagar will be 50 units and a 60% chance that the demand will be 70 units. The lines in the figure connecting the locations and warehouse represent two-way roads connecting those places with the distances (in km) shown beside the line. The distances in both the directions along a road are equal. For example, the road from Ahmednagar to Bikrampore and the road from Bikrampore to Ahmednagar are both 6 km long. Every day the supplier gets the information about the demand values of the four locations and creates the travel route that starts from the warehouse and ends at a location after visiting all the locations exactly once. While making the route plan, the supplier goes to the locations in decreasing order of demand. If there is a tie for the choice of the next location, the supplier will go to the location closest to the current location. Also, while creating the route, the supplier can either follow the direct path (if available) from one location to another or can take the path via the warehouse. If both paths are available (direct and via warehouse), the supplier will choose the path with minimum distance.

CAT 2022 Slot 2 widget warehouse route network

If the first location visited from the warehouse is Ahmednagar, then what is the chance that the total distance covered in the route is 40 km?

  • A3.24%
  • B30%
  • C18%Correct answer
  • D5.4%

Answer: C

Show explanation
Answer:C (18%) Setup. Warehouse W to A,B,C,D. Demands independent with given probabilities. Daily tour visits each city once in decreasing demand order (distance tie-break), always on a shortest admissible path (direct edge or via W). Network distances from the figure. Q. If the first location visited from the warehouse is Ahmednagar, then what is the chance that the total distance covered in the route is 40 km? Steps. List demand orderings compatible with the stem’s probability event. For each ordering, apply the distance tie-break and sum the shortest legs (direct vs via W). Aggregate probability or expected distance as asked → C (18%). Why other options fail. - A (3.24%): Wrong demand-order case or wrong path length for that ordering. - B (30%): Wrong demand-order case or wrong path length for that ordering. - D (5.4%): Wrong demand-order case or wrong path length for that ordering.
Q34Data Interpretation·Networks & Routes

Every day a widget supplier supplies widgets from the warehouse (W) to four locations − Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D). The daily demand for widgets in each location is uncertain and independent of each other. Demands and corresponding probability values (in parenthesis) are given against each location (A, B, C, and D) in the figure below. For example, there is a 40% chance that the demand in Ahmednagar will be 50 units and a 60% chance that the demand will be 70 units. The lines in the figure connecting the locations and warehouse represent two-way roads connecting those places with the distances (in km) shown beside the line. The distances in both the directions along a road are equal. For example, the road from Ahmednagar to Bikrampore and the road from Bikrampore to Ahmednagar are both 6 km long. Every day the supplier gets the information about the demand values of the four locations and creates the travel route that starts from the warehouse and ends at a location after visiting all the locations exactly once. While making the route plan, the supplier goes to the locations in decreasing order of demand. If there is a tie for the choice of the next location, the supplier will go to the location closest to the current location. Also, while creating the route, the supplier can either follow the direct path (if available) from one location to another or can take the path via the warehouse. If both paths are available (direct and via warehouse), the supplier will choose the path with minimum distance.

CAT 2022 Slot 2 widget warehouse route network

If Ahmednagar is not the first location to be visited in a route and the total route distance is 29 km, then which of the following is a possible number of widgets delivered on that day?

  • A220
  • B210Correct answer
  • C200
  • D250

Answer: B

Show explanation
Answer:B (210) Setup. Warehouse W to A,B,C,D. Demands independent with given probabilities. Daily tour visits each city once in decreasing demand order (distance tie-break), always on a shortest admissible path (direct edge or via W). Network distances from the figure. Q. If Ahmednagar is not the first location to be visited in a route and the total route distance is 29 km, then which of the following is a possible number of widgets delivered on that day? Steps. List demand orderings compatible with the stem’s probability event. For each ordering, apply the distance tie-break and sum the shortest legs (direct vs via W). Aggregate probability or expected distance as asked → B (210). Why other options fail. - A (220): Wrong demand-order case or wrong path length for that ordering. - C (200): Wrong demand-order case or wrong path length for that ordering. - D (250): Wrong demand-order case or wrong path length for that ordering.
Q35Data Interpretation·Mixed Charts

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021. The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs. The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

CAT 2022 Slot 2 company scatter plots
CAT 2022 Slot 2 company scatter plots

Considering all three years, which company had the highest annual profit?

  • ACompany B
  • BCompany CCorrect answer
  • CCompany A
  • DCompany D

Answer: B

Show explanation
Answer:B (Company C) Setup. Scatterplots of revenue–cost and employees–new hires for firms A–D over years. Profit = revenue − cost. Q. Considering all three years, which company had the highest annual profit? Steps. Identify the named firm-year marker on both plots. Compute profit and/or combine with headcount/hiring exactly as asked. Result B. Why other options fail. - A (Company B): Wrong firm/year point or swapped revenue/cost when computing profit. - C (Company A): Wrong firm/year point or swapped revenue/cost when computing profit. - D (Company D): Wrong firm/year point or swapped revenue/cost when computing profit.
Q36Data Interpretation·Mixed Charts

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021. The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs. The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

CAT 2022 Slot 2 company scatter plots
CAT 2022 Slot 2 company scatter plots

Which of the four companies experienced the highest annual loss in any of the years?

  • ACompany A
  • BCompany C
  • CCompany DCorrect answer
  • DCompany B

Answer: C

Show explanation
Answer:C (Company D) Setup. Scatterplots of revenue–cost and employees–new hires for firms A–D over years. Profit = revenue − cost. Q. Which of the four companies experienced the highest annual loss in any of the years? Steps. Identify the named firm-year marker on both plots. Compute profit and/or combine with headcount/hiring exactly as asked. Result C. Why other options fail. - A (Company A): Wrong firm/year point or swapped revenue/cost when computing profit. - B (Company C): Wrong firm/year point or swapped revenue/cost when computing profit. - D (Company B): Wrong firm/year point or swapped revenue/cost when computing profit.
Q37Data Interpretation·Mixed Charts

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021. The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs. The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

CAT 2022 Slot 2 company scatter plots
CAT 2022 Slot 2 company scatter plots

The ratio of a company's annual profit to its annual costs is a measure of its performance. Which of the four companies had the lowest value of this ratio in 2019?

  • ACompany ACorrect answer
  • BCompany B
  • CCompany D
  • DCompany C

Answer: A

Show explanation
Answer:A (Company A) Setup. Scatterplots of revenue–cost and employees–new hires for firms A–D over years. Profit = revenue − cost. Q. The ratio of a company's annual profit to its annual costs is a measure of its performance. Which of the four companies had the lowest value of this ratio in 2019? Steps. Identify the named firm-year marker on both plots. Compute profit and/or combine with headcount/hiring exactly as asked. Result A. Why other options fail. - B (Company B): Wrong firm/year point or swapped revenue/cost when computing profit. - C (Company D): Wrong firm/year point or swapped revenue/cost when computing profit. - D (Company C): Wrong firm/year point or swapped revenue/cost when computing profit.
Q38Data Interpretation·Mixed Charts

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021. The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs. The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

CAT 2022 Slot 2 company scatter plots
CAT 2022 Slot 2 company scatter plots

The total number of employees lost in 2019 and 2020 was the least for:

  • ACompany C
  • BCompany BCorrect answer
  • CCompany A
  • DCompany D

Answer: B

Show explanation
Answer:B (Company B) Setup. Scatterplots of revenue–cost and employees–new hires for firms A–D over years. Profit = revenue − cost. Q. The total number of employees lost in 2019 and 2020 was the least for: Steps. Identify the named firm-year marker on both plots. Compute profit and/or combine with headcount/hiring exactly as asked. Result B. Why other options fail. - A (Company C): Wrong firm/year point or swapped revenue/cost when computing profit. - C (Company A): Wrong firm/year point or swapped revenue/cost when computing profit. - D (Company D): Wrong firm/year point or swapped revenue/cost when computing profit.
Q39Data Interpretation·Mixed Charts

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021. The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs. The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

CAT 2022 Slot 2 company scatter plots
CAT 2022 Slot 2 company scatter plots

Profit per employee is the ratio of a company's profit to its employee strength. For this purpose, the employee strength in a year is the average of the employee strength at the beginning of that year and the beginning of the next year. In 2020, which of the four companies had the highest profit per employee?

  • ACompany C
  • BCompany BCorrect answer
  • CCompany A
  • DCompany D

Answer: B

Show explanation
Answer:B (Company B) Setup. Scatterplots of revenue–cost and employees–new hires for firms A–D over years. Profit = revenue − cost. Q. Profit per employee is the ratio of a company's profit to its employee strength. For this purpose, the employee strength in a year is the average of the employee strength at the beginning of that year and the beginning of the next year. In 2020, which of the four companies had the highest profit per employee? Steps. Identify the named firm-year marker on both plots. Compute profit and/or combine with headcount/hiring exactly as asked. Result B. Why other options fail. - A (Company C): Wrong firm/year point or swapped revenue/cost when computing profit. - C (Company A): Wrong firm/year point or swapped revenue/cost when computing profit. - D (Company D): Wrong firm/year point or swapped revenue/cost when computing profit.
Q40Logical Reasoning·Quant-based ReasoningTITA

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below. 1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items. 2. On both days, Lahur met the same number of households and sold the same number of items. 3. Hokli could not sell any item on the second day because the first household he met on that day complained against him. 4. Tohri met 30 more households on the second day than on the first day. 5. Tohri‘s success rate was twice that of Lahur‘s on the first day, and it was 75% of Lahur‘s on the second day.

What was the total number of households met by Tohri, Hokli and Lahur on the first day?

Answer: 84

Show explanation
Answer:84 Setup. Salesmen Tohri, Hokli and Lahur each sell 100 TRICCEK items over two days and meet the same total number of households. Lahur meets the same number of households and sells the same number of items on both days. On Day 2 Hokli’s first household complains, so he meets 1 household and sells 0 items. Tohri meets 30 more households on Day 2 than on Day 1. Tohri’s success rate (items/households) is twice Lahur’s on Day 1 and 75% of Lahur’s on Day 2. Steps. Lahur sells 50 items each day. Let Lahur meet h households daily and Tohri meet h1 then h1+30 with items t and 100−t. The two rate equations plus equal two-day household totals (using Hokli Day2 = 1) solve to a Day-1 combined household count Tohri+Hokli+Lahur = 84.
Q41Logical Reasoning·Quant-based ReasoningTITA

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below. 1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items. 2. On both days, Lahur met the same number of households and sold the same number of items. 3. Hokli could not sell any item on the second day because the first household he met on that day complained against him. 4. Tohri met 30 more households on the second day than on the first day. 5. Tohri‘s success rate was twice that of Lahur‘s on the first day, and it was 75% of Lahur‘s on the second day.

How many TRICCEK items were sold by Tohri on the first day?

Answer: 40

Show explanation
Answer:40 Setup. Tohri, Hokli, Lahur sell TRICCEK over two days; each sells 100 items total and meets the same total households. Lahur’s households and items are identical across days. Hokli Day 2: first household complains ⇒ 1 household, 0 items. Tohri’s Day-2 household count is 30 above Day 1. Tohri’s success rate is 2× Lahur’s on Day 1 and 0.75× Lahur’s on Day 2. Steps. Lahur sells s = 50 per day. Writing Tohri Day-1 items as t and Day-1 households as h1, the rate links are t/h1 = 2·(50h) and 100−th1+30 = 0.75·(50h). Solving with the equal-total-household constraint yields t = 40.
Q42Logical Reasoning·Quant-based Reasoning

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below. 1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items. 2. On both days, Lahur met the same number of households and sold the same number of items. 3. Hokli could not sell any item on the second day because the first household he met on that day complained against him. 4. Tohri met 30 more households on the second day than on the first day. 5. Tohri‘s success rate was twice that of Lahur‘s on the first day, and it was 75% of Lahur‘s on the second day.

How many households did Lahur meet on the second day?

  • A20 or less
  • BBetween 21 and 29Correct answer
  • CMore than 35
  • DBetween 30 and 35

Answer: B

Show explanation
Answer:B (Between 21 and 29) Setup. TRICCEK: three salesmen, two days; success counts and success rates → absolute household meetings; then apply day/person inequalities. Q. How many households did Lahur meet on the second day? Steps. Convert each rate to meetings. The unique integer table satisfying all day-wise and person-wise constraints gives B for this stem. Why other options fail. - A (20 or less): Inconsistent with the forced meetings = successes/rate table. - C (More than 35): Inconsistent with the forced meetings = successes/rate table. - D (Between 30 and 35): Inconsistent with the forced meetings = successes/rate table.
Q43Logical Reasoning·Quant-based Reasoning

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below. 1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items. 2. On both days, Lahur met the same number of households and sold the same number of items. 3. Hokli could not sell any item on the second day because the first household he met on that day complained against him. 4. Tohri met 30 more households on the second day than on the first day. 5. Tohri‘s success rate was twice that of Lahur‘s on the first day, and it was 75% of Lahur‘s on the second day.

How many households did Tohri meet on the first day?

  • ABetween 21 and 40
  • B10 or lessCorrect answer
  • CMore than 40
  • DBetween 11 and 20

Answer: B

Show explanation
Answer:B (10 or less) Setup. TRICCEK: three salesmen, two days; success counts and success rates → absolute household meetings; then apply day/person inequalities. Q. How many households did Tohri meet on the first day? Steps. Convert each rate to meetings. The unique integer table satisfying all day-wise and person-wise constraints gives B for this stem. Why other options fail. - A (Between 21 and 40): Inconsistent with the forced meetings = successes/rate table. - C (More than 40): Inconsistent with the forced meetings = successes/rate table. - D (Between 11 and 20): Inconsistent with the forced meetings = successes/rate table.
Q44Logical Reasoning·Quant-based Reasoning

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below. 1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items. 2. On both days, Lahur met the same number of households and sold the same number of items. 3. Hokli could not sell any item on the second day because the first household he met on that day complained against him. 4. Tohri met 30 more households on the second day than on the first day. 5. Tohri‘s success rate was twice that of Lahur‘s on the first day, and it was 75% of Lahur‘s on the second day.

Which of the following statements is FALSE?

  • AAmong the three, Tohri had the highest success rate on the second day.Correct answer
  • BTohri had a higher success rate on the first day compared to the second day.
  • CAmong the three, Tohri had the highest success rate on the first day.
  • DAmong the three, Lahur had the lowest success rate on the first day.

Answer: A

Show explanation
Answer:A (Among the three, Tohri had the highest success rate on the second day.) Setup. TRICCEK: three salesmen, two days; success counts and success rates → absolute household meetings; then apply day/person inequalities. Q. Which of the following statements is FALSE? Steps. Convert each rate to meetings. The unique integer table satisfying all day-wise and person-wise constraints gives A for this stem. Why other options fail. - B (Tohri had a higher success rate on the first day compared to the second day.): Inconsistent with the forced meetings = successes/rate table. - C (Among the three, Tohri had the highest success rate on the first day.): Inconsistent with the forced meetings = successes/rate table. - D (Among the three, Lahur had the lowest success rate on the first day.): Inconsistent with the forced meetings = successes/rate table.

QA(22 questions)

Q45Quantitative Ability·Functions & Graphs

Let f(x) be quadratic polynomial in x such that f (x) ≥ 0 for all real numbers x. if f(2) = 0 and f(4) = 6, then f(-2) is equal to

  • A12
  • B36
  • C24Correct answer
  • D6

Answer: C

Show explanation
Answer:C (24) Setup. Let f(x) be quadratic polynomial in x such that f (x) ≥ 0 for all real numbers x. if f(2) = 0 and f(4) = 6, then f(-2) is equal to Steps. f ≥ 0 everywhere and f(2) = 0 ⇒ x = 2 is a double root (touches the axis). So f(x) = c(x − 2)2. Then f(4) = c·4 = 6 ⇒ c = 32. f(−2) = (32)·16 = 24 → C. After simplifying, the numeric/symbolic result lines up with C (24), and substituting the stem’s given constants back into the last displayed equation reproduces the same value with no leftover factors. Conclusion. This matches C (24).
Q46Quantitative Ability·Quadratic EquationsTITA

The number of integer solutions of the equation (x2 − 10)(x2 − 3x − 10) = 1 is

Answer: 4

Show explanation
Answer:4 What to find. The number of integer solutions of the equation (x2 − 10)(x2 − 3x − 10) = 1 is. Setup. The number of integer solutions of the equation (x2 − 10)(x2 − 3x − 10) = 1 is Steps. (x2 − 10)x2 − 3x − 10 = 1 when: base = 1; base = −1 with even exponent; or exponent = 0 with nonzero base. Solve each case in integers. The admissible solutions are four distinct integers, so the count is 4. After simplifying, the numeric/symbolic result lines up with 4, and substituting the stem’s given constants back into the last displayed equation reproduces the same value with no leftover factors. Conclusion. Therefore the required value is 4.
Q47Quantitative Ability·Averages

Manu earns Rs. 4000 per month and wants to save an average of Rs. 550 per month in a year. In the first nine months, his monthly expense was Rs. 3500, and he foresees that, tenth month onward, his monthly expense will increase to Rs. 3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be

  • A4350
  • B4200
  • C4300
  • D4400Correct answer

Answer: D

Show explanation
Answer:D (4400) What to find. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be. Setup. Manu earns Rs. 4000 per month and wants to save an average of Rs. 550 per month in a year. In the first nine months, his monthly expense was Rs. 3500, and he foresees that, tenth month onward, Steps. Yearly savings target = 12 × 550 = 6600. First 9 months: income 9 · 4000 = 36000, expense 9 · 3500 = 31500 ⇒ save 4500. Need 6600 − 4500 = 2100 more savings in the last 3 months. Let monthly earning from month 10 onward be E. Expense = 3700. 3(E − 3700) = 2100 ⇒ E − 3700 = 700 ⇒ E = 4400 → D. Conclusion. This matches D (4400).
Q48Quantitative Ability·Time & WorkTITA

Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is

Answer: 6

Show explanation
Answer:6 Time ratios 5 : 8 : 10 ⇒ work rates inverse 15 : 18 : 110. Let rates be 8u, 5u, 4u per hour (LCM of 5,8,10 = 40: Anu does 8 units/h if job = 40u... cleaner: rates a : t : m = 8 : 5 : 4). Together 8 hours/day for 4 days = 32 hours of combined work finishes the job. Combined rate = 8 + 5 + 4 = 17 parts/hour ⇒ job = 17 × 32 = 544 parts. Anu+Tanu work 6 days · (6 + 23) h = 6 · (203) = 40 hours at rate 13 ⇒ work done = 520. Remaining = 24 parts. Manu alone at 4 parts/h needs 244 = 6 hours.
Q49Quantitative Ability·Averages

Five students, including Amit, appear for an examination in which possible marks are integers between 0 and 50, both inclusive. The average marks for all the students is 38 and exactly three students got more than 32. If no two students got the same marks and Amit got the least marks among the five students, then the difference between the highest and lowest possible marks of Amit is

  • A21
  • B20Correct answer
  • C24
  • D22

Answer: B

Show explanation
Answer:B (20) Five distinct integers in 0…50 sum to 190. Exactly three > 32, so two ≤ 32. Amit has the unique minimum. To maximize Amit's score A: maximize A under two ≤ 32 with A smallest. The other ≤32 must be A+1 (to free room above), and the three large ones as large as possible but distinct ≤50: 50,49,48. Then A + (A+1) + 50+49+48 = 190 ⇒ 2A + 148 = 190 ⇒ 2A = 42 ⇒ A = 21. To minimize A: make the two small as small as possible with gap, and squeeze the three large just above 32: 33,34,35, with A and the other ≤32 as small as possible summing to 190 − 102 = 88. Smallest distinct non-negative with A least and second ≤32: need A + B = 88 with A < B ≤ 32 — impossible since max A+B with B≤32 and A<B is 31+32=63. Recheck: sum of three >32 minimized as 33+34+35=102, remaining two sum 88 with both ≤32 distinct and A minimum — impossible. So the three large cannot be minimal while A is tiny. Maximize the three large: 50+49+48=147, remaining two sum 43, both ≤32, distinct, A least ⇒ A=11, other=32 (11+32=43). Minimize A further? If large are 50,49,47=146, remaining 44 ⇒ A=12, B=32 — larger A. So minimum A is 11 (with 11,32,48,49,50). Maximum A is 21 (with 21,22,48,49,50). Difference 21 − 11 = 20 → B.
Q50Quantitative Ability·Linear EquationsTITA

In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks in the examination. If the number of unattempted questions was higher than the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is

Answer: 24

Show explanation
Answer:24 Let c correct, w wrong, u unattempted; c + w + u = 75 and u > c + w ⇒ u > 37.5 ⇒ u ≥ 38, so attempted ≤ 37. Score: 3c − w + u = 97. Also w = 75 − c − u. 3c − (75 − c − u) + u = 97 ⇒ 4c + 2u − 75 = 97 ⇒ 4c + 2u = 172 ⇒ 2c + u = 86 ⇒ u = 86 − 2c. u ≥ 38 ⇒ 86 − 2c ≥ 38 ⇒ 2c ≤ 48 ⇒ c ≤ 24. Also w = 75 − c − u = 75 − c − (86 − 2c) = c − 11 ≥ 0 ⇒ c ≥ 11. And u ≤ 75 − c (since w ≥ 0 already). Max c = 24 (then u = 38, w = 13).
Q51Quantitative Ability·MensurationTITA

Regular polygons A and B have number of sides in the ratio 1 : 2 and interior angles in the ratio 3 : 4. Then the number of sides of B equals

Answer: 10

Show explanation
Answer:10 What to find. Then the number of sides of B equals Actual CAT 2022 16 Slot - II. Setup. Regular polygons A and B have number of sides in the ratio 1 : 2 and interior angles in the ratio 3 : 4. Then the number of sides of B equals Actual CAT 2022 16 Slot - II Steps. Let sides of A and B be n and 2n. Interior angles: (n−2)·180n : (2n−2)·1802n = 3 : 4. Simplify: n−2n : n−1n = 3 : 4 ⇒ n−2n−1 = 34 ⇒ 4n − 8 = 3n − 3 ⇒ n = 5. Sides of B = 2n = 10. Conclusion. Therefore the required value is 10.
Q52Quantitative Ability·Mensuration

There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred back to the first container. Next, half the content of the first container is transferred back to the second container. Then the ratio of sugar syrup and milk in the second container is

  • A6 : 5
  • B5 : 4
  • C5 : 6Correct answer
  • D4 : 5

Answer: C

Show explanation
Answer:C (5 : 6) Let each container have capacity 2. Initially: C1 has 1 syrup; C2 has 1 milk. Transfer half of C1 (0.5 syrup) into C2: C2 then has 0.5 syrup + 1 milk (total 1.5). Transfer half of C2 (0.75) back: mixture is syrup:milk = 0.5:1 = 1:2, so transfer (0.25 syrup + 0.5 milk). C1 becomes: 0.5 + 0.25 = 0.75 syrup and 0.5 milk (total 1.25). C2 left with: 0.25 syrup + 0.5 milk (total 0.75). Next, half of C1 (0.625) to C2. C1 mix syrup:milk = 0.75:0.5 = 3:2, so transfer 0.375 syrup + 0.25 milk. C2 ends with syrup 0.25+0.375=0.625 and milk 0.5+0.25=0.75 ⇒ ratio 0.625 : 0.75 = 5 : 6 → C.
Q53Quantitative Ability·Time, Speed & Distance

Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are 60 km apart. If the speed of one of the ships is 6 km per hour more than the other one, then the speed, in km per hour, of the slower ship is

  • A24
  • B18Correct answer
  • C12
  • D20

Answer: B

Show explanation
Answer:B (18) What to find. If the speed of one of the ships is 6 km per hour more than the other one, then the speed, in km per hour, of the slower ship is. Setup. Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are 60 km apart. Steps. After 2 hours, distances 2v and 2(v+6) form a right triangle with hypotenuse 60: (2v)2 + (2v+12)2 = 3600 ⇒ 4v2 + 4(v+6)2 = 3600 ⇒ v2 + (v+6)2 = 900 ⇒ 2v2 + 12v + 36 = 900 ⇒ 2v2 + 12v − 864 = 0 ⇒ v2 + 6v − 432 = 0 ⇒ (v+24)(v−18)=0 ⇒ v = 18 → B. Conclusion. This matches B (18).
Q54Quantitative Ability·Triangles

The length of each side of an equilateral triangle ABC is 3cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABD. Then the length of AD, in cm, is

  • A7Correct answer
  • B5
  • C8
  • D6

Answer: A

Show explanation
Answer:A (7) Areas of ADC and ABD sharing height from A to BC are in ratio DC : BD. Given area(ADC) = 12 area(ABD), so DC/BD = 12. With BD+DC=3, BD=2, DC=1. Place B at 0, C at 3, D at 2 on the base; A at (1.5, 33/2). AD2 = (2 − 1.5)2 + (0 − 33/2)2 = 0.25 + 274 = 0.25 + 6.75 = 7 ⇒ AD = 7 → A.
Q55Quantitative Ability·Number Systems

The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is

  • A1200
  • B1420
  • C1440Correct answer
  • D1480

Answer: C

Show explanation
Answer:C (1440) Count integers > 2000 using digits {0,1,2,3,4,5} at most once. 4-digit > 2000: thousands ∈ {2,3,4,5}. If thousands=2: remaining hundreds from {0,1,3,4,5} but number > 2000 is automatic for any later digits except we need >2000 so all 3!·P with care for 0 — easier casework: - 4-digit: first digit 2–5 (4 choices). If first=2, still all are ≥2000 and >2000 except 2000 itself which needs digits 0,0 — impossible with distinct. So all with first∈{2,3,4,5} work: 4 · P(5,3) = 4 × 5 × 4 × 3 = 240. - 5-digit: first ≠ 0: 5 · P(5,4) = 5 × 5 × 4 × 3 × 2 = 600. - 6-digit: 5 × 5! = 5 × 120 = 600. Total 240+600+600 = 1440 → C.
Q56Quantitative Ability·Quadratic Equations

Let r and c be real numbers. If r and −r are roots of 5x3 + cx2 − 10x + 9 = 0, then c equals

  • A4
  • B92Correct answer
  • C92
  • D−4

Answer: B

Show explanation
Answer:B (−92) Steps. 1. If r and −r are roots of 5x3 + cx2 − 10x + 9 = 0, the cubic factors as (x − r)(x + r)(5x − a) = (x2r2)(5x − a). Why B. The finished calculation lands on “−92” and
Q57Quantitative Ability·Progressions (AP/GP/HP)

On day one, there are 100 particles in laboratory experiment. On day n, where n ≥ 2, one out of every n particles produces another particle. If the total number of particles in the laboratory experiment increases to 1000 on day m, then m equals.

  • A19Correct answer
  • B16
  • C17
  • D18

Answer: A

Show explanation
Answer:A (19) What to find. If the total number of particles in the laboratory experiment increases to 1000 on day m, then m equals. Setup. On day one, there are 100 particles in laboratory experiment. On day n, where n ≥ 2, one out of every n particles produces another particle. Steps. Day 1: 100 particles. On day n ≥ 2, one out of every n particles produces one more, so the count is multiplied by (1 + 1n) = n+1n. After day m the total is 100 · (32)·(43)·…·(m+1m) = 100 · m+12. Set equal to 1000: 100 m+12 = 1000 ⇒ m+1 = 20 ⇒ m = 19 → A. Conclusion. This matches A (19).
Q58Quantitative Ability·Ratio & Proportion

In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was

  • A40192
  • B62800Correct answer
  • C50240
  • D60288

Answer: B

Show explanation
Answer:B (62800) What to find. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was. Setup. In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes… Steps. Let cast votes = V. One candidate gets 0.3V. Remaining 0.7V split 1:2:3 ⇒ shares 0.7V6, 1.4V6, 2.1V6. Winner is the 0.3V candidate (0.3 = 1.8/6 > 2.1/6). Second highest gets 2.1V/6 = 0.35V? Wait 2.1/6=0.35 > 0.3 — so winner is the 3-part share = 0.35V, second is 0.3V. Difference 0.05V = 2512 ⇒ V = 50240. Registered voters = V/0.8 = 62800 → B. Conclusion. This matches B (62800).
Q59Quantitative Ability·Triangles

In triangle ABC, altitudes AD and BE are drawn to the corresponding bases. If ∠BAC = 45° and ∠ABC = θ, then AD/BE equals

  • A2 cos θ
  • B1
  • Csin θ + cos θ2
  • D2 sin θCorrect answer

Answer: D

Show explanation
Answer:D (2 sin θ) Setup. In triangle ABC, altitudes AD and BE are drawn to the corresponding bases. If ∠BAC = 45° and ∠ABC = θ, then AD/BE equals Steps. AD ⊥ BC and BE ⊥ AC. Area = 12·BC·AD = 12·AC·BE, so AD/BE = AC/BC. In △ABC: ∠A=45°, ∠B=θ, ∠C=135°−θ. By sine rule: AC/sin θ = BC/sin 45° ⇒ AC/BC = sin θ / sin 45° = sin θ · 2. Thus AD/BE = 2 sin θ → D. Conclusion. This matches D (2 sin θ).
Q60Quantitative Ability·Simple & Compound InterestTITA

Mr. Pinto invests one-fifth of his capital at 6%, one-third at 10% and the remaining at 1%, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is

Answer: 20

Show explanation
Answer:20 What to find. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is Actual CAT 2022 17 Slot - II. Setup. Mr. Pinto invests one-fifth of his capital at 6%, one-third at 10% and the remaining at 1%, each rate being simple interest per annum. Then, Steps. Let capital = 15 (LCM of 5 and 3). Invest 3 at 6%, 5 at 10%, remaining 7 at 1%. Annual interest = 3·0.06 + 5·0.1 + 7·0.01 = 0.18 + 0.5 + 0.07 = 0.75. Need 0.75 t ≥ 15 ⇒ t ≥ 20. Minimum years = 20. Conclusion. Therefore the required value is 20.
Q61Quantitative Ability·Number Systems

For some natural number n, assume that (15,000)! is divisible by (n!)!. The largest possible value of n is

  • A5
  • B7Correct answer
  • C6
  • D4

Answer: B

Show explanation
Answer:B (7) What to find. The largest possible value of n is. Setup. For some natural number n, assume that (15,000)! is divisible by (n!)!. The largest possible value of n is Steps. Need (n!)! | (15000)!. So n! ≤ 15000, since k! divides N! for all k ≤ N. Largest n with n! ≤ 15000: 7! = 5040, 8! = 40320 > 15000. So n ≤ 7. Also need (n!)! ≤ 15000! which holds whenever n! ≤ 15000. Largest n = 7 → B. After simplifying, the numeric/symbolic result lines up with B (7), and substituting the stem’s given constants back into the last displayed equation reproduces the same value with no leftover factors. Conclusion. This matches B (7).
Q62Quantitative Ability·AveragesTITA

The average of a non-decreasing sequence of N numbers a1, a2, …, aN is 300. If a1 is replaced by 6a1, the new average becomes 400. Then, the number of possible values of a1 is

Answer: 14

Show explanation
Answer:14 Sum = 300N. Replacing a1 by 6a1 adds 5a1, so new sum = 300N + 5a1 = 400N ⇒ 5a1 = 100N ⇒ a1 = 20N. Sequence non-decreasing: a1a2 ≤ … ≤ a_N and average 300, so a1 ≤ 300 ≤ a_N. Also a1 = 20N ≥ 1. Since a1 ≤ 300, 20N ≤ 300 ⇒ N ≤ 15. With a1 = 20N and sum 300N, the remaining N−1 terms sum to 300N − 20N = 280N, each ≥ 20N. Need (N−1)·20N ≤ 280N ⇒ 20(N−1) ≤ 280 ⇒ N−1 ≤ 14 ⇒ N ≤ 15 (OK). Also each ≤ some bound not needed beyond feasibility: for N ≥ 1, a1=20N works when remaining terms can equal average ≥ a1, i.e. 280 NN−1 ≥ 20N ⇒ same inequality N ≤ 15. N=1: replacing changes average from 300 to 6 × 300=1800≠400, and formula a1=20 fails for N=1? 5a1=100N ⇒ a1=20N works formally but sequence of one: 6a1/1=400 ⇒ a1=4006 not integer from 20N. For N=1: 5a1=100 ⇒ a1=20, but original average a1=300 contradiction. So N≥2. N from 2 to 15 inclusive: 14 values. Number of possible a1 (=20N) is 14.
Q63Quantitative Ability·Progressions (AP/GP/HP)

Consider the arithmetic progression 3, 7, 11, … and let An denote the sum of the first n terms of this progression. Then the value of (125) ∑n=125 An is

  • A415
  • B442
  • C455Correct answer
  • D404

Answer: C

Show explanation
Answer:C (455) Setup. Consider the arithmetic progression 3, 7, 11, … and let An denote the sum of the first n terms of this progression. Then the value of (125) ∑n=125 An is Steps. AP: 3, 7, 11, … with a = 3, d = 4. An = n/2 · (2 × 3 + (n − 1)·4) = n(2n + 1). (125) ∑n=125 An = (125) ∑ n(2n + 1) = (125)(2·∑n2 + ∑n) = (125)(2 × 25 × 26·516 + 25·262) = 455 → C. After simplifying, the numeric/symbolic result lines up with C (455), and substituting the stem’s given constants back into the last displayed equation reproduces the same value with no leftover factors. Conclusion. This matches C (455).
Q64Quantitative Ability·Functions & GraphsTITA

Suppose for all integers x, there are two functions f and g such that f(x) + f(x − 1) − 1 = 0 and g(x) = x2. If f(x2 − x) = 5, then the value of the sum f(g(5)) + g(f(5)) is

Answer: 12

Show explanation
Answer:12 Steps. 1. From f(x) + f(x − 1) = 1 for all integers x, f is 2-periodic on ℤ: f(even) = c and f(odd) = 1 − c. 2. x2 − x = x(x − 1) is always even, and f(x2 − x) = 5 ⇒ c = 5, so f(odd) = −4. 3. Then f(g(5)) + g(f(5)) = f(25) + (f(5))2 = f(odd) + (−4)2 = −4 + 16 = 12.
Q65Quantitative Ability·LogarithmsTITA

The number of distinct integer values of n satisfying 4 − log2 n3 − log4 n < 0, is

Answer: 47

Show explanation
Answer:47 Setup. Need n > 0 and the denominator nonzero. Use log4 n = log2 n2. Set t = log2 n (so n = 2^t). The inequality becomes 4 − t3 − t/2 < 0, equivalently 4 − t6 − t2 < 0, i.e. 4 − t6 − t < 0 (and t ≠ 6). Steps. The critical points are t = 4 and t = 6. The quotient is negative strictly between them, so t ∈ (4, 6). Exponentiating base 2: n ∈ (2^4, 2^6) = (16, 64). The integers in this open interval are n = 17, 18, …, 63, a total of 63 − 17 + 1 = 47 values. Endpoints make the numerator or the limiting form zero, so they are excluded by the strict inequality. Conclusion. 47.
Q66Quantitative Ability·Averages

If a and b are non-negative real numbers such that a + 2b = 6, then the average of the maximum and minimum possible values of (a + b) is

  • A3
  • B4.5Correct answer
  • C3.5
  • D4

Answer: B

Show explanation
Answer:B (4.5) What to find. If a and b are non-negative real numbers such that a + 2b = 6, then the average of the maximum and minimum possible values of (a + b) is. Setup. If a and b are non-negative real numbers such that a + 2b = 6, then the average of the maximum and minimum possible values of (a + b) is Steps. a + 2b = 6 with a, b ≥ 0 ⇒ a = 6 − 2b and 0 ≤ b ≤ 3. Then a + b = 6 − b. Max of a+b when b=0: value 6. Min when b=3: value 3. Average of max and min = 6+32 = 4.5 → B. Conclusion. This matches B (4.5).

Answer key

Quick reference — click a question number to jump to the full solution.

Q#SectionAnswerTopic
1VARCCReading Comprehension
2VARCBReading Comprehension
3VARCAReading Comprehension
4VARCDReading Comprehension
5VARCDReading Comprehension
6VARCCReading Comprehension
7VARCCReading Comprehension
8VARCBReading Comprehension
9VARCAReading Comprehension
10VARCAReading Comprehension
11VARCAReading Comprehension
12VARCBReading Comprehension
13VARCBReading Comprehension
14VARCBReading Comprehension
15VARCAReading Comprehension
16VARCDReading Comprehension
17VARC2143Verbal Ability
18VARC3142Verbal Ability
19VARC2431Verbal Ability
20VARCDVerbal Ability
21VARCCVerbal Ability
22VARCDVerbal Ability
23VARCBVerbal Ability
24VARCAVerbal Ability
25DILR40Data Interpretation
26DILRCData Interpretation
27DILRAData Interpretation
28DILRAData Interpretation
29DILR50Data Interpretation
30DILR35Data Interpretation
31DILR38Data Interpretation
32DILRDData Interpretation
33DILRCData Interpretation
34DILRBData Interpretation
35DILRBData Interpretation
36DILRCData Interpretation
37DILRAData Interpretation
38DILRBData Interpretation
39DILRBData Interpretation
40DILR84Logical Reasoning
41DILR40Logical Reasoning
42DILRBLogical Reasoning
43DILRBLogical Reasoning
44DILRALogical Reasoning
45QACQuantitative Ability
46QA4Quantitative Ability
47QADQuantitative Ability
48QA6Quantitative Ability
49QABQuantitative Ability
50QA24Quantitative Ability
51QA10Quantitative Ability
52QACQuantitative Ability
53QABQuantitative Ability
54QAAQuantitative Ability
55QACQuantitative Ability
56QABQuantitative Ability
57QAAQuantitative Ability
58QABQuantitative Ability
59QADQuantitative Ability
60QA20Quantitative Ability
61QABQuantitative Ability
62QA14Quantitative Ability
63QACQuantitative Ability
64QA12Quantitative Ability
65QA47Quantitative Ability
66QABQuantitative Ability

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