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CAT 2025 Slot 1 QA

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

Questions

  1. Q1. If a-6 b+6 c=4 and 6 a+3 b-3 c=50, where a, b and c are real numbers, the value of 2 a+3 b-3 c is
  2. Q2. A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 …
  3. Q3. The number of distinct integers n for which \log _{\left(\frac{1}{4}\right)}\left(n^2-7 n+11\right)>0, is
  4. Q4. In the set of consecutive odd numbers \{1,3,5, \ldots, 57\}, there is a number k such that the sum of all the …
  5. Q5. In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a perfect square, …
  6. Q6. At a certain simple rate of interest, a given sum amounts to Rs 13920 in 3 years, and to Rs 18960 in 6 years a…
  7. Q7. The number of non-negative integer values of k for which the quadratic equation x^2-5 x+k=0 has only integer r…
  8. Q8. A value of c for which the minimum value of f(x)=x^2-4 c x+8 c is greater than the maximum value of g(x)=-x^2+…
  9. Q9. A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of …
  10. Q10. Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four…
  11. Q11. The ratio of the number of students in the morning shift and afternoon shift of a school was 13 : 9. After 21 …
  12. Q12. In a circle with center C and radius 6 \sqrt{2} \mathrm{~cm}, P Q and S R are two parallel chords separated by…
  13. Q13. The (x, y) coordinates of vertices \mathrm{P}, \mathrm{Q} and R of a parallelogram PQRS are (-3,-2),(1,-5) and…
  14. Q14. In a class, there were more than 10 boys and a certain number of girls. After 40% of the girls and 60% of the …
  15. Q15. If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute val…
  16. Q16. A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for…
  17. Q17. The number of distinct pairs of integers (x, y) satisfying the inequalities x>y \geq 3 and x+y<14 is
  18. Q18. Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge…
  19. Q19. For any natural number k, let a_k=3^k. The smallest natural number m for which \left\{\left(a_1\right)^1 \time…
  20. Q20. Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio con…
  21. Q21. Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of…
  22. Q22. Let 3 \leq x \leq 6 and \left[x^2\right]=[x]^2, where [x] is the greatest integer not exceeding x. If set S re…