This is from the GMATPrep software's practice test:
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
A - between 2 and 10
B - between 10 and 20
C - between 20 and 30
D - between 30 and 40
E - greater than 40
The answer is E. Any ideas on how to get to E?
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
A - between 2 and 10
B - between 10 and 20
C - between 20 and 30
D - between 30 and 40
E - greater than 40
The answer is E. Any ideas on how to get to E?
