for every positive integer n, the function h(n) is defined to be the product of all even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1 then p is between?
2-10
10-20
20-30
30-40
40+
GMATprep1 --Function Problem
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The answer is E; the smallest prime divisor must, in fact, be larger than 50. This question has been answered many times on this forum, and you can find a few good solutions with a search. There is, for example, an excellent solution from Stuart Kovinsky here:
www.beatthegmat.com/gmat-prep-number-pr ... t8649.html
and I posted a solution here:
www.beatthegmat.com/gmatprep-function-h-n-t11711.html
There are other good solutions in other threads.
www.beatthegmat.com/gmat-prep-number-pr ... t8649.html
and I posted a solution here:
www.beatthegmat.com/gmatprep-function-h-n-t11711.html
There are other good solutions in other threads.