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stuck on prime factor Q

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Newbie | Next Rank: 10 Posts
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stuck on prime factor Q

by jdotsuka » Sun Dec 28, 2008 5:05 pm
for every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. if p is the smallest prime factor of h(100)+1, then p is

a. between 2 and 10
b. between 10 and 20
c. between 20 and 30
d. between 30 and 40
e. greater than 40

????
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by rajataga » Sun Jan 04, 2009 8:23 pm
Hey jdotsuka,

This is the most solved sum on this forum. Try searching using some of the keywords, and I am sure you will find it.

Rajat.
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by reneerenee » Wed Jan 07, 2009 12:11 pm
the answer is e, the prime has to be larger than 40. why, because h(100)+1 cannot be divisible by 2,4, 6,8, ....,96, 98, 100, and therefore it is not divis by 2,3,4,....48, 48, 50.

you can post this on gmatgremath.blocked if you want a gmat tutor's official answer, but i think e is correct.
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