Interesting GMATFix Problem-3

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arora007: Community Manager; Posts: 1048; Joined: Mon Aug 17, 2009 3:26 am; Location: India; Thanked: 51 times; Followed by:27 members; GMAT Score:670

Interesting GMATFix Problem-3

by arora007 » Tue Sep 21, 2010 12:47 pm

If a,b,c,d and e are distinct positive integers which of the five integers is the median?
1) c=(b+d)/2
2) 2c<a<e

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Source: Beat The GMAT — Data Sufficiency | Tue Sep 21, 2010 12:47 pm

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by beatthegmatinsept » Tue Sep 21, 2010 1:19 pm

arora007 wrote:If a,b,c,d and e are distinct positive integers which of the five integers is the median?
1) c=(b+d)/2
2) 2c<a<e

IMO E.
1) says 2c = b + d
returns multiple values, if c = 5, b + d can be 4 + 6, 7 + 3, 8 + 2..
gives nothing abt a and e.
Insufficient.
2) 2c<a<e.
gives nothing about b and d.
Together,
b + d = 2c, 2c < a < e
Mutiple possible values,
b = 2, d = 8, c = 5, a = 11, e = 13.. median 8
OR
b = 6, d = 4, c = 5, a = 13, e = 11.. median 6
Insufficient.

Pick E.

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arora007: Community Manager; Posts: 1048; Joined: Mon Aug 17, 2009 3:26 am; Location: India; Thanked: 51 times; Followed by:27 members; GMAT Score:670