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Re: If x, y and z are different integers, is x divisible by 11? [#permalink]

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12 Feb 2013, 06:01

Expert's post

If x, y and z are different integers, is x divisible by 11?

(1) xyz is divisible by 22 and 33. Given that xyz is a multiple of 22=2*11 and 33=3*11, thus xyz is a multiple of 2*3*11=66. Now, if x=1 and yz=66, the answer is NO but if x=11 and yz=66, the answer is YES. Not sufficient.

(2) yz is divisible by 72. Nothing about x. Not sufficient.

(1)+(2) Still insufficient, for example if x=1 and yz=66*72, the answer is NO but if x=11 and yz=66*72, the answer is YES. Not sufficient.

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