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# For a set X containing n integers, is the mean even?

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For a set X containing n integers, is the mean even? [#permalink]  10 Sep 2012, 03:46
For a set X containing n integers, is the mean even?

(1) n is even.

(2) All of the integers in set X are even.

Doesn't both the statements combined give an odd answer? Thus Statement (C) is correct but the MGMAT says that (E) is correct. Can someone explain the answer.
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Re: For a set X containing n integers, is the mean even? [#permalink]  10 Sep 2012, 05:05
For a set X containing n integers, is the mean even?

(1) n is even.

(2) All of the integers in set X are even.

Doesn't both the statements combined give an odd answer? Thus Statement (C) is correct but the MGMAT says that (E) is correct. Can someone explain the answer.

take Set S as {2,4} then you will get the mean as 3 (odd)
take Set S as {4,4,4,4} then you will get the mean as 4 (even)

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Re: For a set X containing n integers, is the mean even? [#permalink]  09 May 2014, 09:40
Trick here is that integers in Set S is NOT UNIQUE EVEN INTEGER. Hence Ans. E. If integers were unique EVEN integers then Ans. would have been C.
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Re: For a set X containing n integers, is the mean even?   [#permalink] 09 May 2014, 09:40
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