Find the total number of integers k between 20 and 40 such that k 1 Is not divisible by k ........

Quantitative Aptitiude (CLAT) Number System

Find the total number of integers k between 20 and 40 such that (k-1)! Is not divisible by k.

None of these

(k-1)! will NOT be divisible by k only when k is prime. If k is composite than its prime factors are contained in (k-1)!

Hence the question simply translates into finding the number of prime numbers between 20 and 40, which are: 23, 29, 31 and 37.

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