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# Set E contains five distinct positive integers {x, 4, 2, 6, y}.

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Intern
Joined: 11 Oct 2017
Posts: 22
Set E contains five distinct positive integers {x, 4, 2, 6, y}.  [#permalink]

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16 Nov 2017, 18:03
00:00

Difficulty:

55% (hard)

Question Stats:

46% (01:17) correct 54% (01:31) wrong based on 23 sessions

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Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the mean of set E greater than its median?

(1) the largest integer in set E is 6.

(2) The smallest integer in set E is 2.

Math Expert
Joined: 02 Aug 2009
Posts: 7044
Re: Set E contains five distinct positive integers {x, 4, 2, 6, y}.  [#permalink]

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16 Nov 2017, 19:29
Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the mean of set E greater than its median?

(1) the largest integer in set E is 6.

(2) The smallest integer in set E is 2.

Hi...

Five DISTINCT numbers x,y,2,4,6
Clearly individually statements are insufficient..

Let's see combined..
Largest is 6
Smallest is 2
As all are DISTINCT, there can be only one set possible
2,3,4,5,6
Once we have all numbers we can find both median and mean..
Here both are 4 as it is AP
Suff

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Set E contains five distinct positive integers {x, 4, 2, 6, y}. &nbs [#permalink] 16 Nov 2017, 19:29
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