CAT 2018 Slot 2 QA
Quantitative Ability · 34 questions · 60 minutes · +3 / −1 (no negative marking on type-in answers)
Questions
- Q1. Points A, P, Q and B lie on the same line such that P, Q and B are, respectively, 100 km, 200 km and 300 km aw…
- Q2. Let a 1 , a 2 , ... , a 52 be positive integers such that a 1 ＜ a 2 ＜ ... ＜ a 52 . Suppose, their arithmetic m…
- Q3. There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. …
- Q4. On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively.…
- Q5. Let t 1 , t 2 ,… be real numbers such that t 1 + t 2 +... + t n = 2n 2 + 9n + 13, for every positive integer n…
- Q6. From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. T…
- Q7. If N and x are positive integers such that N N = 2 160 and N 2 + 2 N is an integral multiple of 2 x , then the…
- Q8. A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that …
- Q9. If p 3 = q 4 = r 5 = s 6 , then the value of log s (pqr) is equal to
- Q10. In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one mat…
- Q11. A 20% ethanol solution is mixed with another ethanol solution, say, S of unknown concentration in the proporti…
- Q12. The area of a rectangle and the square of its perimeter are in the ratio 1 : 25. Then the lengths of the short…
- Q13. The smallest integer n for which 4 n ＞ 17 19 holds, is closest to
- Q14. The smallest integer n such that n 3 - 11n 2 + 32n - 28 ＞ 0 is (TITA)
- Q15. A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of t…
- Q16. The value of the sum 7 x 11 + 11 x 15 + 15 x 19 + ..... + 95 x 99 is
- Q17. On a long stretch of east-west road, A and B are two points such that B is 350 km west of A. One car starts fr…
- Q18. If the sum of squares of two numbers is 97, then which one of the following cannot be their product?
- Q19. A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitute…
- Q20. Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is alread…
- Q21. A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump A or pump B or both star…
- Q22. Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got si…
- Q23. If a and b are integers such that 2x 2 − ax + 2 ＞ 0 and x 2 − bx + 8 ≥ 0 for all real numbers x, then the larg…
- Q24. The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increas…
- Q25. A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the short…
- Q26. How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the…
- Q27. A water tank has inlets of two types A and B. All inlets of type A when open, bring in water at the same rate.…
- Q28. Gopal borrows Rs. X from Ankit at 8% annual interest. He then adds Rs. Y of his own money and lends Rs. X+Y to…
- Q29. The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u = \frac{(x+y)}{2} and v =…
- Q30. Let f(x)=max{5x, 52 - 2x 2 }, where x is any positive real number.Then the minimum possible value of f(x) is (…
- Q31. For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}…
- Q32. If A = {6 2n - 35n - 1: n = 1,2,3,...} and B = {35(n-1) : n = 1,2,3,...} then which of the following is true?
- Q33. The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt soluti…
- Q34. \frac{1}{log_{2}100} - \frac{1}{log_{4}100} + \frac{1}{log_{5}100} - \frac{1}{log_{10}100} + \frac{1}{log_{20}…