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Yes it does. Let's have a discussion first. I can always PM you the solution, if you want.cramya wrote:Picked numbers for this. Dont know if there's an easier solution.
Does MGMAT provide one??
Manhattan GMAT wrote:
For a set X containing n integers, the mean equals the sum of integers s divided by the number of integers n. If s is odd, the mean cannot be even. If s is even, there are no guaranteed outcomes for establishing that the mean of set X will be even. Therefore, there is no simple way to rephrase the question, but note that if we determine that s is odd we have achieved sufficiency.
(1) INSUFFICIENT: Statement (1) tells us nothing about whether s is odd or even. As noted above, if s were odd, we could determine that the mean of set X is not even. If s were even, observe that an even number by another even number could produce either an odd result (e.g. 12/4 = 3), an even result (e.g. 12/2 = 6), or a non-integer (e.g. 14/6).
(2) INSUFFICIENT: Statement (2) tells us that the sum s must be even. As described above, an even sum s does not provide a guaranteed outcome for the mean of set X regardless of whether n is odd or even.
(1) AND (2) INSUFFICIENT: Given that both s and n are even, there are no guaranteed outcomes for the mean of set X.
The correct answer is E. .
I solved it using the logic that division of Even/Even can be even or odd.logitech wrote:Manhattan GMAT wrote:
For a set X containing n integers, the mean equals the sum of integers s divided by the number of integers n. If s is odd, the mean cannot be even. If s is even, there are no guaranteed outcomes for establishing that the mean of set X will be even. Therefore, there is no simple way to rephrase the question, but note that if we determine that s is odd we have achieved sufficiency.
(1) INSUFFICIENT: Statement (1) tells us nothing about whether s is odd or even. As noted above, if s were odd, we could determine that the mean of set X is not even. If s were even, observe that an even number by another even number could produce either an odd result (e.g. 12/4 = 3), an even result (e.g. 12/2 = 6), or a non-integer (e.g. 14/6).
(2) INSUFFICIENT: Statement (2) tells us that the sum s must be even. As described above, an even sum s does not provide a guaranteed outcome for the mean of set X regardless of whether n is odd or even.
(1) AND (2) INSUFFICIENT: Given that both s and n are even, there are no guaranteed outcomes for the mean of set X.
The correct answer is E. .
