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Re: MGMAT DS: Median [#permalink]
23 Nov 2006, 01:52
This post received KUDOS
If S is a finite set of consecutive even numbers, is the median of S an odd number?
(1) The mean of set S is an even number.
(2) The range of set S is divisible by 6.
Ans : A
Suppose the first integer is 2k and there are n integers in the list. The last element in S is 2k+2(n-1), and the mean of S (the average of the first and last terms) is 2k+n-1 and the range is 2(n-1)
The median of S will be odd if and only if n is even.
(1) 2k+n-1 is even, so n-1 is even and n is odd SUFF
(2) 2(n-1) is divisible by 6, so n-1 is a multiple of 3 i.e. n=3m+1 for some integer m NOT SUFF
The first statement is clear that is suff, but isn't that clear that the second is always insuff.
I agree with your first answer (if the number are all Positive the answer is D), but not with the correction that you make after (Insuff for Pos and Neg)