Latest self Aptitude Question SOLUTION: what power of 15 divides 87! exactly? a)20 b)29 c)30 d)14

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(#M40021497) SELF question Keep an EYE

what power of 15 divides 87! exactly?
a)20
b)29
c)30
d)14

vikash singh (10 years ago)

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Rahul Kumar Mehta  (10 years ago)

Option (a) will be the answer

Reason- 15 = 5*3 we will get the pair of 5 and 3

[87/5] + [87/5^2] = 17 + 5 = 20 ( we will get 20 fives)

[87/3] + [87/3^2] + [87/3^3] + [87/3^4] = 29 + 9 + 3 + 1 = 42(we will get 42 threes)

but we have only 20 fives that's why we will get only 20 pair of 5 & 3.

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sudhakar verma  (10 years ago)

option a will be the ans.
find no of 3,5 in 87!.
this will give you ans .
:)

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