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

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Source:Manhattan Prep

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

1) n is even
2) All of the integers in set X are even

The OA is E

Junior | Next Rank: 30 Posts
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A

B

C

D

E

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Let’s take option A first:
Consider the set {1,2,3,4}
Is the mean even? No
A is ruled out

Let’s take option B now:
Consider the set {2,2,4}
Is the mean even? No
B is out

Consider both together:
Set : {2,2,2,4}
Is the mean even? No
C is out

Thus , the correct answer is E.