GMAT PREP TEST -1 QUANT QUESTION : QUERY

[austinlibin]

For every positive integer n, the function h(n) is defined as 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

Kindly solve this problem.

Regards,
Libin

[RonPurewal]

Please search the forum before posting. Thanks.

This problem, in particular, already appears on the forum in approximately a million zillion threads. Here are two of the most voluminous:

for-every-positive-integer-n-the-function-h-n-is-defined-t784.html

for-every-positive-even-integer-n-the-function-h-n-t1152.html

Please read the entirety of both threads. If you still have questions, please post them on an existing thread.

Thanks.

[RonPurewal]

Also, this ...

Kindly solve this problem.

... is not a suitable query for the forum.

When you post here in the future, please do the following:

• Describe the progress you've already made with the problem.
What do you understand?
What don't you understand?
Were you able to eliminate choices?
What strategies did you try (especially non-algebraic strategies)?
Etc.

• Please ask SPECIFIC questions.

Ultimately, "please solve this problem for me" will have zero benefit for you, because you won't have to think through the problem.