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

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Math Expert
Joined: 02 Sep 2009
Posts: 59721
Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the  [#permalink]

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21 Nov 2019, 03:34
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68% (02:01) correct 32% (02:09) wrong based on 21 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.

Are You Up For the Challenge: 700 Level Questions

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Joined: 16 Feb 2015
Posts: 176
Location: United States
Concentration: Finance, Operations
Re: Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the  [#permalink]

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21 Nov 2019, 03:57
Bunuel wrote:
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.

Are You Up For the Challenge: 700 Level Questions

Statement 1: W cannot find median, as for odd number of set it will be middle value.
As 6 is largest, X,Y can be 1,3 or 5. So median will change accordingly
It can be 3 or 4, & Mean will be between 3 to 4. Insufficient.

Statement 2: Alone, we cannot tell. insufficient.

From 1 & 2, We can tell.

Please give kudos, if you find my explanation good enough
Director
Joined: 24 Nov 2016
Posts: 971
Location: United States
Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the  [#permalink]

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22 Nov 2019, 08:26
Bunuel wrote:
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.

(1) The largest integer in set E is 6. insufic

largest = 6, (x,y)=(1,3,5)

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

smallest = 2, (x,y)=any integer>0≠(2,4,6)

(1&2) sufic

largest = 6, smallest = 2, (x,y)=(3,5)

Ans (C)
Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the   [#permalink] 22 Nov 2019, 08:26
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