## Quant Question Of The Day: 80

# Numbers

Find the smallest value of n for which 100!/20ⁿ is not divisible by 20.

a) 24

b) 25

c) 48

d) 49

e) None

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Quant question of the day, Question of the day

Find the smallest value of n for which 100!/20ⁿ is not divisible by 20.

a) 24

b) 25

c) 48

d) 49

e) None

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25

25 is not correct, Twinkle.

24

C. 48

A. 24

A. 24

Max. power of 5 in 100! = 24 , and we have sufficient power of 2^2 . Hence , we will have 20^24 in 100! .

When divided by 20^24 , it will exhaust all powers of 20 in 100! . Therefore , now 100! /20^24 will not be divisible by 20 .