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# Set W is made up of positive numbers. One number is removed,

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1262
Set W is made up of positive numbers. One number is removed, [#permalink]

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25 Jun 2007, 07:16
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Set W is made up of positive numbers. One number is removed, and the remaining numbers comprise set V. Is the arithmetic mean of the numbers in V equal to the arithmetic mean of the numbers in W?

(1) All numbers in W are integers.
(2) The mean of the numbers in W is 17.5.
Senior Manager
Joined: 28 Feb 2007
Posts: 302

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25 Jun 2007, 07:39
for me it is C.
Neither statement by itself is sufficient - it is clear.

SUM of elements in W or V is also integer (from statement1).
From statement 2 if the mean is 17.5 then it shows the # of elements in set W is EVEN. Then in order to be equal the mean of the set also must be 17.5 but EVEN-1(1 element is removed ) is ODD , so the # of elements of set V is odd. ODD*17,5=not integer but as the all the elements in both sets are integer sum also must be INTEGER but here not
tharefore MEAN of set V must be integer not 17.5 .

Go with C.
25 Jun 2007, 07:39
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