CAT 2020 Slot 3 QA
Quantitative Ability · 26 questions · 40 minutes · +3 / −1 (no negative marking on type-in answers)
Questions
- Q1. If x 1 = -1 and x m = x m + 1 + (m + 1) for every positive integer m, then x 100 equals
- Q2. Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25,…
- Q3. Let log a 30 = A, log a \frac{5}{3} = -B and log 2 a = \frac{1}{3}, then log 3 a equals
- Q4. A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days,…
- Q5. The area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis is equal to
- Q6. Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average …
- Q7. How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?
- Q8. In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and …
- Q9. If f(x+y) = f(x)f(y) and f(5) = 4, then f(10) - f(-10) is equal to
- Q10. \frac{2×4×8×16}{(log_{2}4)^{2}(log_{4}8)^{3}(log_{8}16)^{4}} equals
- Q11. If a,b,c are non-zero and 14 a = 36 b = 84 c , then 6b(\frac{1}{c} - \frac{1}{a}) is equal to
- Q12. Let m and n be natural numbers such that n is even and 0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0…
- Q13. Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time,…
- Q14. A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, …
- Q15. Let k be a constant. The equations kx + y = 3 and 4x + ky = 4 have a unique solution if and only if
- Q16. How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
- Q17. A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 r…
- Q18. Two alcohol solutions, A and B, are mixed in the proportion 1:3 by volume. The volume of the mixture is then d…
- Q19. The vertices of a triangle are (0,0), (4,0) and (3,9). The area of the circle passing through these three poin…
- Q20. A person invested a certain amount of money at 10% annual interest, compounded half-yearly. After one and a ha…
- Q21. A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 …
- Q22. Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 k…
- Q23. Let m and n be positive integers, If x 2 + mx + 2n = 0 and x 2 + 2nx + m = 0 have real roots, then the smalles…
- Q24. In a trepezium ABCD, AB is parallel to DC, BC is perpendicular to DC and ∠BAD = 45°. If DC = 5 cm, BC = 4 cm, …
- Q25. The points (2 , 1) and (-3 , -4) are opposite vertices of a parellelogram. If the other two vertices lie on th…
- Q26. How many pairs (a,b) of positive integers are there such that a ≤ b and ab = 4 2017 ?