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# Greatest Possible Integer

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Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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29 Jan 2009, 05:34
A set of 15 different integers has a median of 25 and range of 25. What is the greatest possible integer that could be in this set?

a) 32
b) 37
c) 40
d) 43
e) 50

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kris

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Joined: 07 Nov 2007
Posts: 1761
Location: New York

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29 Jan 2009, 08:04
krishan wrote:
A set of 15 different integers has a median of 25 and range of 25. What is the greatest possible integer that could be in this set?

a) 32
b) 37
c) 40
d) 43
e) 50

x1..x7.. 15 x8.. x15

to get the higest x15 x1 to x7 must be close to 25

x1.. x7 are 18..24 25.. x15

max possible value = 18+25 = 43

D
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Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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29 Jan 2009, 19:51
1
KUDOS
thanks. I will just explain for others.

x2suresh wrote:
krishan wrote:
A set of 15 different integers has a median of 25 and range of 25. What is the greatest possible integer that could be in this set?

a) 32
b) 37
c) 40
d) 43
e) 50

x1..x7.. 15 x8.. x15

to get the higest x15 x1 to x7 must be close to 25

x1.. x7 are 18..24 25.. x15

max possible value = 18+25 = 43

D

To get the greatest the number in the set, we will be adding the range value (25) to the smallest element in the set.

i.e. Greates number (G)= Least number (L) + 25

In order to maximize G, we have ot find the maximum possible value of L.

Are you thinking, why L can't be 25 (same as the median) and in this case the value of G would be = 25+25 = 50 and the answer should be (e). This is wrong !

THe question stem says , "A set of 15 different integers ". So we have to find the number closest to 25 and that number would be 25-7 = 18 (remember the median is the 8th digit and hence we have subtracted 7 here)

So, Now L = 18

Hence, G = 18+25 = 43 and (d) is the answer

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

kris

Re: Greatest Possible Integer   [#permalink] 29 Jan 2009, 19:51
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# Greatest Possible Integer

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