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How many zeros does 250! end with?

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Senior Manager
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How many zeros does 250! end with?  [#permalink]

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New post 03 Jul 2018, 04:04
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:51) correct 26% (00:43) wrong based on 27 sessions

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How many zeros does 250! end with?

A. 60
B. 62
C. 64
D. 68
E. 70

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Re: How many zeros does 250! end with?  [#permalink]

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New post 03 Jul 2018, 05:33
CAMANISHPARMAR wrote:
How many zeros does 250! end with?

A. 60
B. 62
C. 64
D. 68
E. 70


Numerous question on the subject..
ans wr would depend on the number of times 5 comes in 1*2*3*...*250

it is \(\frac{250}{5}+\frac{250}{5^2}+\frac{250}{5^3}=50+10+2=62\)
beyond 250/5^3 it will become<1, so discard

B
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Re: How many zeros does 250! end with?  [#permalink]

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New post 03 Jul 2018, 05:43
1
To calculate zeros in any n! we have to check how many "5" it has

250/5=50
250/5^2=10
250/5^3=2

50+10+2=62

Answer B. 62
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Re: How many zeros does 250! end with?  [#permalink]

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New post 03 Jul 2018, 08:28
CAMANISHPARMAR wrote:
How many zeros does 250! end with?

A. 60
B. 62
C. 64
D. 68
E. 70

\(\frac{250}{5} = 50\)
\(\frac{50}{5} = 10\)
\(\frac{10}{5} = 2\)

So, 250! must end in 62 zeroes, answer must be (B)
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Re: How many zeros does 250! end with? &nbs [#permalink] 03 Jul 2018, 08:28
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