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If set S consists of even number of integers, is the me

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by varun289 » Sat Dec 15, 2012 10:34 am
If set S consists of even number of integers, is the median of set negative?
1.Exactly half of all elements of set S are positive.
2.The largest negative element of set S is -1.
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Source: — Data Sufficiency |

by puneetkhurana2000 » Sat Dec 15, 2012 11:19 am
Answer is C.

Statement 1)
For a set like (-2,-1,1,1) Median is 0 (non negative) .. No
For a set like (-3,-2,1,1) Median is negative .. Yes

Not Sufficient!!!

Statement 2)
For a set like (-3,-2,-1,1) Median is negative .. Yes
For a set like (-3,-1,1,1) Median is 0 (non negative) .. No

Not Sufficient!!!

Together we have sets like (-3,-1,1,1) or (-3,-1,2,4) etc. In each case we have a non negative median, hence a definite No. Sufficient Together!!!

Answer C .
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