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GMAT Problem of the Week. Issue#3

SK0-003 exam>

    Is x greater than y?

(1)    y > y^2

         (2)    1/x = 1/y + 1

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.070-417 exam

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

Highlight the text below to see the answer.

Correct: C

Statement (1) doesn’t give us any information about x, so it’s not sufficient.

For statement (2) let’s plug in numbers (check, that these numbers work):

if x = 2, and y = -2, then x > y, if x = 0.5, and y = 1, then x < y. Thus, the second statement is not sufficient either.

Combining the statements (1) and (2), we conclude, that

·         1/х = 1/y + 1 > 1/y, or 1/x > 1/y

·         y > 0 (from (1)), and hence x > 0 (from (2)).

So, x < y, and the two statements taken together are sufficient to answer the question.

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