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Question

How many factors of 25 * 36 * 52 are perfect squares?

CAT 2021

A
18
CORRECT ANSWER WRONG ANSWER
B
24
CORRECT ANSWERWRONG ANSWER
C
36
CORRECT ANSWER WRONG ANSWER
D
8
CORRECT ANSWER WRONG ANSWER
Solution

Correct option is

(B)

Explanatory Answer :

Any factor of this number should be of the form 2a* 3b* 5c.

For the factor to be a perfect square :

a,b,c have to be even.

a can take values 0, 2, 4.

b can take values 0, 2, 4, 6 and

c can take values 0, 2

Total number of perfect squares = 3 * 4 * 2 = 24