The ratio of the number of students in the morning shift and afternoon shift of a school was 13 : 9. After 21 students moved from the morning shift to the afternoon shift, this ratio became 19 : 14. Next, some new studen…
Answer: D
Open full paper →Quantitative Ability — CAT & XAT practice
Sample quantitative ability questions from past papers. Open the full paper for the complete set and answer key, or attempt it timed for analytics.
The number of distinct integers n for which log_{frac{1}{4}}(n^{2} − 7n + 11) > 0, is
Answer: D
Open full paper →In a circle with center C and radius 6 sqrt{2} cm, PQ and SR are two parallel chords separated by one of the diameters. If ∠PQC = 45°, and the ratio of the perpendicular distance of PQ and SR from C is 3:2, then the area…
Answer: A
Open full paper →A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this solution with water, then replaces 10% of the resulting solution with acid, and finally replaces 15% of t…
Answer: A
Open full paper →Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these four parts follow ano…
Answer: C
Open full paper →The number of distinct pairs of integers (x, y) satisfying the inequalities x > y ≥ 3 and x + y < 14 is
Answer: 16
Open full paper →Let 3 ≤ x ≤ 6 and [x^{2}] = [x]^{2}, where [x] is the greatest integer not exceeding x. If set S represents all feasible values of x, then a possible subset of S is
Answer: C
Open full paper →Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of her investment in gold. With annual returns of 10%, 6%, 8% on stocks, bonds, and gold, respectively, she gain…
Answer: 900
Open full paper →At a certain simple rate of interest, a given sum amounts to Rs.13920 in 3 years, and to Rs 18960 in 6 years and 6 months. If the same given sum had been invested for 2 years at the same rate as before but with interest…
Answer: A
Open full paper →A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of…
Answer: C
Open full paper →Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge Rs 2160, Rs 2400, and Rs 2160 per day, respectively, even if they are employed for a partial day. On any give…
Answer: D
Open full paper →The number of non-negative integer values of k for which the quadratic equation x^{2} – 5x + k = 0 has only integer roots, is
Answer: 3
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