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CAT 2020 Slot 2 QA

Quantitative Ability · 26 questions · 40 minutes · +3 / −1 (no negative marking on type-in answers)

Questions

  1. Q1. In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The dis…
  2. Q2. From the interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of th…
  3. Q3. In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47.…
  4. Q4. The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20 and 2x + 5y = 99 is
  5. Q5. The value of log a \frac{a}{b} + log b \frac{b}{a}, for 1 < a ≤ b cannot be equal to
  6. Q6. Let the m-th and n-th terms of a Geometric progression be \frac{3}{4} and 12, respectively, when m < n. If …
  7. Q7. If x and y are positive real numbers satisfying x + y = 102, then the minimum possible value of 2601(1 + \frac…
  8. Q8. For the same principal amount, the compound interest for two years at 5% per annum exceeds the simple interest…
  9. Q9. Let C be a circle of radius 5 meters having center at O. Let PQ be a chord of C that passes through points A a…
  10. Q10. For real x, the maximum possible value of \frac{x}{√(1 + x^{4})} is
  11. Q11. Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on th…
  12. Q12. If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum pos…
  13. Q13. Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number…
  14. Q14. Let f(x) = x 2 + ax + b and g(x) = f(x + 1) - f(x - 1). If f(x) ≥ 0 for all real x, and g(20) = 72, then the s…
  15. Q15. The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2…
  16. Q16. The sum of perimeters of an equilateral triangle and a rectanmgle is 90 cm. The area, T, of the triangle and t…
  17. Q17. The number of integers that satisfy the equality (x 2 - 5x + 7) x + 1 = 1 is
  18. Q18. In how many ways can a pair of integers (x , a) be chosen such that x 2 − 2 | x | + | a - 2 | = 0 ?
  19. Q19. Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the…
  20. Q20. A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing e…
  21. Q21. Let C1 and C2 be concentric circles such that the diameter of C1 is 2cm longer than that of C2. If a chord of …
  22. Q22. John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to fi…
  23. Q23. In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent …
  24. Q24. Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as man…
  25. Q25. A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, w…
  26. Q26. How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 co…