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A certain packing box contains books between 50 to 60. How

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by BTGmoderatorLU » Thu May 30, 2019 2:47 am

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Source: Economist GMAT

A certain packing box contains books between 50 to 60. How many books exactly does that box contains?

1) If the books are counted by three, there will be one book left over.
2) If the books are counted by six, there will be one book left over.

The OA is B
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by Ian Stewart » Thu May 30, 2019 5:47 am
There are at least three grammatical errors in the stem itself, so this might be a good SC question. I assume the question is saying we have between 50 and 60 books. Statement 1 says when we divide that number by 3, the remainder is 1. So we could have 52, 55 or 58 books (any number between 50 and 60 that is one larger than some multiple of 3). Statement 2 says when we divide that number by 6, the remainder is 1, so we must have 55 books, and the answer is B.
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