CAT Mini Mock Test Series 2025 – Kickstart Your Preparation With Real CAT Level Questions - Quiz 4

CAT Quants Quiz- Q5

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Q1. P = 5^4n 3^2n, where n is an even natural number and is not a multiple of 4. Which of the following does not divide P?

a. 317

b. 13

c. 11

d. 7

Q2. John has a deck of 52 uniquely numbered cards from 1 to 52. He draws two cards one after the other, without putting the first card back into the deck. What is the probability that the first card John draws is card number 1, and the second card he draws is card number 13?

a. 1/2652

b. 1/2704

c. 1/2601

d. 1/2650

Q3. The heat radiated by a certain machine per unit of time varies directly with the cube root of the excess temperature of 37 C. The heat radiated by the machine per second is 27 joules when the temperature inside the machine is 64 C. Find the temperature (in C) inside the machine when the heat radiated by the machine per second is 63 joules.

a. 380

b. 350

c. 370

d. 390

Q4. In a sports team 70% of the players are children and x% of the children and y% of the adults are newcomers. The total number of newcomers who are children and adults who are seasoned players equals the total number of seasoned players who are children and newcomers who are adults. Which of the following could be the set of values of (x, y)?

a. (50, 30)

b. (40, 30)

c. (45, 30)

d. (35, 15)

Q5. If p1p2 + 1 is a perfect square where p1 and p2 are the prime numbers picked from the first 120 natural numbers, then how many pairs of (p1, p2) satisfy this?

a. 20

b. 12

c. 16

d. 8

CAT Mini Mock Test Series 2025 – Kickstart Your Preparation With Real CAT Level Questions – Quiz 4

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