← All CAT papers

CAT 2017 Slot 1 QA

Quantitative Ability · 34 questions · 60 minutes · +3 / −1 (no negative marking on type-in answers)

Questions

  1. Q1. Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By wh…
  2. Q2. A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who…
  3. Q3. An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg a…
  4. Q4. A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after th…
  5. Q5. Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invest…
  6. Q6. If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following en…
  7. Q7. A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if h…
  8. Q8. Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10…
  9. Q9. The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% o…
  10. Q10. A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, supe…
  11. Q11. In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good ma…
  12. Q12. If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of th…
  13. Q13. If a and b are integers of opposite signs such that (a + 3) 2 : b 2 = 9 : 1 and (a - 1) 2 : (b - 1) 2 = 4 : 1,…
  14. Q14. A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was …
  15. Q15. The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is
  16. Q16. From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G …
  17. Q17. Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with d…
  18. Q18. A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio 1 : 1 : 8: 27: 27. The…
  19. Q19. A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is…
  20. Q20. Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respec…
  21. Q21. Suppose, log 3 x = log 12 y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and l…
  22. Q22. If x + 1 = x 2 and x > 0, then 2x 4 is:
  23. Q23. The value of log 0.008 √5 + log √3 81 – 7 is equal to:
  24. Q24. If 9 2x – 1 – 81 x-1 = 1944, then x is
  25. Q25. The number of solutions (x, y, z) to the equation x – y – z = 25, where x, y, and z are positive integers such…
  26. Q26. For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied? (TITA)
  27. Q27. If f 1 (x) = x 2 + 11x + n and f 2 (x) = x, then the largest positive integer n for which the equation f 1 (x)…
  28. Q28. If a, b, c, and d are integers such that a + b + c + d = 30, then the minimum possible value of (a - b) 2 + (a…
  29. Q29. Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points b…
  30. Q30. The shortest distance of the point (\frac{1}{2},1) from the curve y = |x - 1| + |x + 1| is
  31. Q31. If the square of the 7 th term of an arithmetic progression with positive common difference equals the product…
  32. Q32. In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least…
  33. Q33. If f(x) = \frac{5x + 2}{3x - 5} and g(x) = x 2 – 2x – 1, then the value of g(f(f(3))) is:
  34. Q34. Let a 1 , a 2 ,.......a 3n be an arithmetic progression with a 1 = 3 and a 2 = 7. If a 1 + a 2 + ......+a 3n =…