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CAT 2021 Slot 3 QA

Quantitative Ability · 22 questions · 40 minutes · +3 / −1 (no negative marking on type-in answers)

Questions

  1. Q1. If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy wi…
  2. Q2. Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to pa…
  3. Q3. Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the …
  4. Q4. A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once.…
  5. Q5. In a triangle ABC , ∠ BCA =50°. D and E are points on AB and AC, respectively, such that AD = DE. If F…
  6. Q6. For a real number a, if \frac{\log _{15} a+\log _{32} a}{\left(\log _{15} a\right)\left(\log _{32} a\right)}= …
  7. Q7. The arithmetic mean of scores of 25 students in an examination is 50. Five of these students top the examinati…
  8. Q8. One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boar…
  9. Q9. One day, Rahul started a work at 9 AM and Gautam joined him two hours later. They then worked together and com…
  10. Q10. The total of male and female populations in a city increased by 25% from 1970 to 1980. During the same period,…
  11. Q11. Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively.…
  12. Q12. A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the co…
  13. Q13. If 3 x+2|y|+y=7 and x+|x|+3 y=1, then x+2 y is
  14. Q14. In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining mat…
  15. Q15. A shop owner bought a total of 64 shirts from a wholesale market that came in two sizes, small and large. The …
  16. Q16. Consider a sequence of real numbers x_{1}, x_{2}, x_{3}, \ldots such that x_{n+1}=x_{n}+n-1 for all n \geq 1 .…
  17. Q17. A tea shop offers tea in cups of three different sizes. The product of the prices, in INR, of three different …
  18. Q18. The number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is
  19. Q19. The cost of fencing a rectangular plot is ₹ 200 per ft along one side, and ₹ 100 per ft along the three other …
  20. Q20. If n is a positive integer such that (\sqrt[7]{10})(\sqrt[7]{10})^{2} \ldots(\sqrt[7]{10})^{n}>999, then th…
  21. Q21. Bank A offers 6% interest rate per annum compounded half yearly. Bank B and Bank C offer simple interest but t…
  22. Q22. If f(x)=x^{2}-7 x and g(x)=x+3, then the minimum value of f(g(x))-3 x is