Official Guide Explanation:
Data Sufficiency #52




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Solution and Metadata

Question: 52
Page: 156
Difficulty: 6 (Moderately Difficult)
Category 1: Algebra > Inequalities > other

Explanation: Statement (1) is insufficient: given the ranges of possible values for x and y, the product xy could be as small as 1(2) (less than 5) or as large as (3)(4) (greater than 5). Statement (2) is also insufficient: if x + y = 5, the product xy could less than 5, as in (1)(4), or greater than 5, as in (2)(3).

Taken together, the statements are still insufficient. If x = 1 and y = 4, both statements are true, and xy is less than 5. If x = 2 and y = 3, both statements are true, and xy is greater than 5. Since the answer could be "yes" or "no," the correct choice is (E).

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