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set of 15 integers

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Senior Manager
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set of 15 integers [#permalink] New post 12 Jun 2009, 05:00
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A
B
C
D
E

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70% (01:49) correct 30% (00:03) wrong based on 14 sessions
19) A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
a. 32
b. 37
c. 40
d. 43
e. 50


Oa is d
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Re: set of 15 integers [#permalink] New post 12 Jun 2009, 12:01
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The correct answer is D.

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

Given 15 different integers, lets say

n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15

Also given median is 25 i.e. n8 = 25

n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15

As each integer is different we need to find the maximum values for all those numbers before the median.

the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..

18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15

Also given the range is 25 i.e. n15 - n1 (18) = 25
The maximum value n15 can have is 25 + n1 (18) = 43
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Re: set of 15 integers [#permalink] New post 12 Jun 2009, 22:41
very good explanation nookway.
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Re: set of 15 integers [#permalink] New post 17 May 2011, 23:11
8 different numbers from 1st to 8th number gives lowest number = 25-8= 18
hence max number = 18+25 = 43.
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Re: set of 15 integers   [#permalink] 17 May 2011, 23:11
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