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2009/10 AHSMC Part 1 Problem 2

Problem 2 of 16

Caroline bought some bones for her 77 dogs. Had she owned 88 dogs, she could have given each the same number of bones. As it was, she needed two more bones to give each dog the same number of bones. The number of bones she could have bought was

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Solution

The number of bones Caroline bought is a multiple of 88 but 22 less than a multiple of 77. The answer is (D).