Are all of the numbers in a certain list of 15 numbers equal?
(1) The sum of all the numbers in the list is 60.
(2) The sum of any 3 numbers in the list is 12.
[spoiler]OA:B[/spoiler]
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GMAT Kolaveri
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Anurag@Gurome
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Statement 1: The sum of all the numbers in the list is 60.GMAT Kolaveri wrote:Are all of the numbers in a certain list of 15 numbers equal?
(1) The sum of all the numbers in the list is 60.
(2) The sum of any 3 numbers in the list is 12.
[spoiler]OA:B[/spoiler]
We can have different set of 15 numbers such that their sum is 60.
Not sufficient
Statement 2: The sum of any 3 numbers in the list is 12.
This is only possible when all the numbers in the set are equal. Consider the case when we have a single different number, say a and other are equal, say b. Now the selection of any three numbers may result (a, b, b) and (b, b, b). Now according to the question, (a + b + b) and (b + b + b) both must be equal to 12. Which is only possible when a = b = 4.
This can shown for other combinations too. (Like 2 different, others equal etc)
Sufficient
The correct answer is B.
Anurag Mairal, Ph.D., MBA
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My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
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