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# PS : median

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Senior Manager
Joined: 16 Jan 2009
Posts: 354

Kudos [?]: 232 [0], given: 16

Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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03 Jun 2009, 14:24
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A set of 15 different integers have a range of 25 and a median of 25. What is greatest possible integer that could be in this set?
A.32
B.37
C.40
D.43
E.50

[spoiler]Prior to median 25, there are 7 numbers.
To make the greatest number as greater as possible, these 7 numbers should cost the range as little as possible. They will be, 24, 23, 22, 21, 20, 19, 18.
So, the greatest value that can fulfill the range is: 18+25=43
IMO D[/spoiler]
_________________

Lahoosaher

Kudos [?]: 232 [0], given: 16

Manager
Joined: 12 Apr 2006
Posts: 213

Kudos [?]: 30 [0], given: 17

Location: India

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03 Jun 2009, 20:24
amolsk11 wrote:
Prior to median 25, there are 7 numbers.
To make the greatest number as greater as possible, these 7 numbers should cost the range as little as possible. They will be, 24, 23, 22, 21, 20, 19, 18.
So, the greatest value that can fulfill the range is: 18+25=43
IMO D

Used the exact same method to arrive at same answer 43. D

Kudos [?]: 30 [0], given: 17

Re: PS : median   [#permalink] 03 Jun 2009, 20:24
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