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.
[spoiler]OA=B[/spoiler]
Source: Economist GMAT
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A certain packing box contains books between 50 to 60.
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Let's take each statement one by one.VJesus12 wrote: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.
[spoiler]OA=B[/spoiler]
Source: Economist GMAT
(1) If the books are counted by three, there will be one book left over.
The number of books can be 52, 55, or 58. No unique answer.
(2) If the books are counted by six, there will be one book left over.
The only number between 50 and 60 such that if divided by 6 will leave a remainder 1 is 55. Sufficient.
The correct answer: B
Hope this helps!
-Jay
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