Bunuel wrote:

If rs ≠ 0, is t an integer?

(1) t = 3r – 2s

(2) r = s

Statement One Alone:

t = 3r – 2s

If r = 1 and s = 1, then 3r - 2s = 1 and t is an integer; however, if r = 1/2 and s = 1, then 3r - 2s = -0.5 and t is not an integer. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

r = s

Since statement two does not provide any information regarding t, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the statements together, we have t = 3r - 2r, or t = r. However, since we do not know whether r is an integer, we cannot determine whether t is an integer.

Answer: E

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