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CAT 2025 Slot 3 QA

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

Questions

  1. Q1. A triangle ABC is formed with AB = AC = 50 cm and BC = 80 cm. Then, the sum of the lengths, in cm, of all thre…
  2. Q2. In an arithmetic progression, if the sum of fourth, seventh and tenth terms is 99, and the sum of the first fo…
  3. Q3. ABCD is a trapezium in which AB is parallel to \mathrm { DC } , \mathrm { AD } is perpendicular to AB , and \m…
  4. Q4. If \left( x ^ { 2 } + \frac { 1 } { x ^ { 2 } } \right) = 25 and x > 0 , then the value of \left( x ^ { 7 }…
  5. Q5. The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost …
  6. Q6. Rahul starts on his journey at 5 pm at a constant speed so that he reaches his destination at 11 pm the same d…
  7. Q7. The sum of all possible real values of x for which \log _ { x - 3 } \left( x ^ { 2 } - 9 \right) = \log _ { x …
  8. Q8. The ratio of the number of coins in boxes A and B was 17:7. After 108 coins were shifted from box A to box B, …
  9. Q9. If 12 ^ { 12 x } \times 4 ^ { 24 x + 12 } \times 5 ^ { 2 y } = 8 ^ { 4 z } \times 20 ^ { 12 x } \times 243 ^ {…
  10. Q10. Teams A, B, and C consist of five, eight, and ten members, respectively, such that every member within a team …
  11. Q11. If f ( x ) = \left( x ^ { 2 } + 3 x \right) \left( x ^ { 2 } + 3 x + 2 \right) , then the sum of all real root…
  12. Q12. The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the managers receiv…
  13. Q13. In a school with 1500 students, each student chooses any one of the streams out of science, arts, and commerce…
  14. Q14. In a class of 150 students, 75 students chose physics, 111 students chose mathematics and 40 students chose ch…
  15. Q15. For real values of x , the range of the function f ( x ) = \frac { 2 x - 3 } { 2 x ^ { 2 } + 4 x - 6 } is
  16. Q16. Ankita walks from A to C through B, and runs back through the same route at a speed that is 40% more than her …
  17. Q17. The sum of all the digits of the number \left( 10 ^ { 50 } + 10 ^ { 25 } - 123 \right) , is
  18. Q18. In \triangle A B C , A B = A C = 12 \mathrm {~cm} and D is a point on side B C such that A D = 8 \mathrm {~cm}…
  19. Q19. The rate of water flow through three pipes A, B and C are in the ratio 4 : 9 : 36. An empty tank can be filled…
  20. Q20. For a 4-digit number (greater than 1000), sum of the digits in the thousands, hundreds, and tens places is 15.…
  21. Q21. Let p, q and r be three natural numbers such that their sum is 900, and r is a perfect square whose value lies…
  22. Q22. Vessels A and B contain 60 litres of alcohol and 60 litres of water, respectively. A certain volume is taken o…