Knewton Brutal GMAT Challenge - Week 10

by John, May 26, 2010

There is a Knewton shirt out in the veld, floating around all free. You can claim it if you answer this question correctly, and show your work.

The first term in a sequence is[pmath]a[/pmath], and each term thereafter is [pmath]k/11[/pmath] greater than the term before it. If[pmath]a[/pmath]and[pmath]k[/pmath]are both positive integers but only one of them is a prime number, what is the sum of the first 100 terms in the sequence?

1. [pmath]2a+11k=46[/pmath]
2. [pmath]3k=14-{2/3}a[/pmath]

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient.