Set S

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orel: Master | Next Rank: 500 Posts; Posts: 247; Joined: Sun Jul 27, 2008 1:39 am; Thanked: 2 times; GMAT Score:660

by orel » Sun Apr 05, 2009 3:47 am

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

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Source: Beat The GMAT — Data Sufficiency | Sun Apr 05, 2009 3:47 am

scoobydooby: Legendary Member; Posts: 1035; Joined: Wed Aug 27, 2008 10:56 pmFollowed by: 1 member; Thanked: 104 times

by scoobydooby » Sun Apr 05, 2009 4:01 am

1) for an ordered set, (set of numbers with the same common difference), the mean=median
if mean is even=>median is even
hence sufficient

2) The range of set S is divisible by 4
if S is 2, 4, 6 median: 4 even
if S is 2, 4, 6, 8, 10 median: 6 even
if S is 2,4,6,8,10,12, 14 median: 8 even
(only works for odd number of consective even numbers=> median is always even
sufficient

hence D

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orel: Master | Next Rank: 500 Posts; Posts: 247; Joined: Sun Jul 27, 2008 1:39 am; Thanked: 2 times; GMAT Score:660

by orel » Sun Apr 05, 2009 4:09 am

thanks a lot for explanation!
OA is D

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