Official Guide Explanation:
Data Sufficiency #57




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Solution and Metadata

Question: 57
Page: 277
Difficulty: 4 (Moderately Easy)
Category 1: Word Problems > Other >
Category 2: Arithmetic > Properties of Integers > Other

Explanation: If Max has a total of $125 in 20's and 5's, he could have anywhere from 0 to 6 20's. He must have at least one 5, and could have as many as 25 5's.

Statement (1) is sufficient. He could have one 5, in which case the $125 consists of $5 in 5's and $120 in 20's. If he has only $100 in 20's, he must have $25 in 5's -- that's five 5 - dollar bills. Since the statement tells us he has fewer than five 5's, he must have exactly 1.

Statement (2) is also sufficient. If he has more than 5 20's, he must have 6, for a total of $120. That leaves $5 in 5's. Choice (D) is correct.

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