Did the sum of the prices of three shirts exceed $60 ? (1) T h e p r i c e o f t h e m o s t e x p e n s i v e o f t h e s h i r t s e x c e e d e d$ 30.
(2) The price of the least expensive of the shirts exceeded $20.

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

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

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Both statements together are sufficient, but neither statement alone is sufficient.

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Each statement alone is sufficient.

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Statements (1) and (2) together are not sufficient.

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Solution

The correct option is D Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
Given that the price of the most expensive shirt exceeded $30, t h e s u m o f t h e p r i c e s o f t h e s h i r t s c a n b e u n d e r$ 60 (if the prices were $10,$ 10, and $35) a n d t h e s u m o f t h e p r i c e s o f t h e s h i r t s c a n b e o v e r$ 60 (if the prices were $10,$ 10, and $50); NOT sufficient.
Given that the price of the least expensive shirt exceeded $20, i t f o l l o w s t h a t t h e s u m o f t h e p r i c e s o f t h e s h i r t s e x c e e d s 3 ($ 20) = $60; SUFFICIENT.
The correct answer is B; statement 2 alone is sufficient.

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