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set S

by Xbond » Fri Aug 14, 2009 12:19 am
Hi there,

I would like to know the simplest process to resolve this DS. Explanation is requested.

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7?
(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1
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Source: — Data Sufficiency |
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by tohellandback » Fri Aug 14, 2009 12:41 am
IMO C
arrange the set

-2 1 5 8

1) The median of the numbers in S is less than 5.
for n=0, -2 0 1 5 8 median is 1
for n=4, -2 1 4 5 8 median 4
NOT SUFF

2)The median of the numbers in S is greater than 1

for n=4, median greater than 1
for n=100, -2 1 5 8 100, median greater than 1
NOT SUFF

combined

for n=1,2,3,4
-2 1 n 5 8- satisfies the condition
for values <=0, median will be 1- ruled out
for value >4, median will be >=5, ruled out
so n=1,2,3,4. SUFF
The powers of two are bloody impolite!!
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