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

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

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New post 21 Nov 2019, 03:34
00:00
A
B
C
D
E

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(N/A)

Question Stats:

68% (02:01) correct 32% (02:09) wrong based on 21 sessions

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

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New post 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.



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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.

Answer is C


:please Please give kudos, if you find my explanation good enough :please
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Set E contains five distinct positive integers {x, 4, 2, 6, y}. Is the  [#permalink]

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New post 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)
{12346}, avg=16/5>3, med=3; answer=yes
{23456}, avg=4, med=4; answer=no

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

smallest = 2, (x,y)=any integer>0≠(2,4,6)
{23456}, avg=4, med=4; answer=no
{246,10,20}, avg=42/5>8, med=6; answer=yes

(1&2) sufic

largest = 6, smallest = 2, (x,y)=(3,5)
{23456}, avg=4, med=4, answer=no

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

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