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# If D is a positive number and F is the product of the first

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If D is a positive number and F is the product of the first [#permalink]  25 Jan 2008, 10:41
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If D is a positive number and F is the product of the first 30 positive integers, what is the value of D?

1) 10^D is a factor of F
2) D>6
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Re: DS: Value of D [#permalink]  25 Jan 2008, 13:25
Expert's post
C

1. 10^1 and 100^2 are factors of F. insuff.

2. insuff.

1&2. 10^D=2^D*5^D.
How many "5" we have in F.
30 (1), 25 (2), 20 (1), 15 (1), 10 (1),5 (1)
we have 7 "5". Therefore, D<8.

from 2. 6<D<8 ==> D=7
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Re: DS: Value of D   [#permalink] 25 Jan 2008, 13:25
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