Well ans is 47, i.e E
h(100) = 2*4*6*8*..............92*94*96*98*100
100 = 2^2*5^2
98 = 2 * 7^2
96 = 2^5 * 3
94 = 2*47
so, 47 is the largest prime in h(n).
SO, h(n) is divisible by all the primes below 47 including itself.
But, when u add 1 to it, i.e. h(n) + 1, it becomes in-divisible by all these primes. But, it may be divisble by a prime greater than 47.
Hence, p now is greater than 47, E
HTH.