Each week Manhattan GMAT posts a GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?
For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/22)(1 + 1/3 + 1/32)(1 + 1/5 + 1/52)…(1 + 1/pn + 1/pn2), where pn is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
(A) 1/4
(B) 1/5
(C) 1/6
(D) 1/7
(E) 1/8