Problem Solving

For every positive even 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

this was the first question on my CAT and i got it wrong after 3 mins on a complete guess. I need some help what the trick to solving it.

Check below threads please

https://www.beatthegmat.com/gmat-prep-stumper-t4092.html

https://www.beatthegmat.com/gmatprep-qua ... -t222.html