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# What is the remainder when the positive integer x is divided

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What is the remainder when the positive integer x is divided [#permalink]  12 Mar 2008, 12:10
What is the remainder when the positive integer x is divided by 8?
(1) When x is divided by 12, the remainder is 5.
(2) When x is divided by 18, the remainder is 11.
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Re: gprep remainders [#permalink]  12 Mar 2008, 16:47
Statement 1:
Take X = 17, 29, 41, 53, & 65
In all cases remainder by 12 is 5, if you check remainder with 8 it is varying, so this statement alone cannot answer the question.

Statement 2:
Take X = 29, 47, 65, 83, 101
In this case also remainder by 18 is 11 however remainder by 8 is varying, so this statement alone cannont answer the question.

Combining both option
Take X = 65, 101
Both numbers satisfy statement 1 and 2 however on divided by 8 leaves diffirent remainder.

So question cannot be answered by these statement, Answer E.
Re: gprep remainders   [#permalink] 12 Mar 2008, 16:47
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# What is the remainder when the positive integer x is divided

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