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How many zeros are the end of ?

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How many zeros are the end of ? [#permalink] New post 15 Nov 2012, 07:23
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Question Stats:

78% (01:37) correct 21% (00:37) wrong based on 7 sessions
How many zeros are at the end of 380! ?

(A) 90
(B) 91
(C) 94
(D) None
(E) 95

[Reveal] Spoiler:
In order to find the number of zeros we have to find out the number of 5's and 2's , because no. of 5's will be less then the number of 2's ..
[Reveal] Spoiler: OA

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Re: How many zeros are the end of 380! ? [#permalink] New post 15 Nov 2012, 07:41
vomhorizon wrote:
How many zeros are the end of 380! ?

(A) 90
(B) 91
(C) 94
(D) None
(E) 95


380! has \frac{380}{5}+\frac{380}{5^2}+\frac{380}{5^3}=76+15+3=94 trailing zeros ( take only the quotient into account).

Answer: C.

For more on trailing zeros check: everything-about-factorials-on-the-gmat-85592-40.html

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Hope it helps.
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Re: How many zeros are the end of 380! ?   [#permalink] 15 Nov 2012, 07:41
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