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What is the remainder when the positive integer x is divided

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Intern
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What is the remainder when the positive integer x is divided [#permalink] New post 14 Sep 2007, 05:31
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.

OA is E. But I guess it would be C. Can someone help me?
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 [#permalink] New post 14 Sep 2007, 06:06
I think it's E.

(i) is clearly insufficient. Possible values of x are:
17 29 41 53 65 ...
When divided by 8, these give different remainders
(ii) is clearly insufficient. Possible values of x are:
29 47 65 83 101 ...
When divided by 8, these give different remainders

We can see a pattern - 29 and 65 are repeated (and you can bet 101,137,173). When divided by 8, 29 gives a remainder of 5, 65 gives a remainder of 1, (101 - 5, 137 -1 .....)
So (i) & (ii) together are insufficient - Answer E
  [#permalink] 14 Sep 2007, 06:06
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What is the remainder when the positive integer x is divided

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