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# Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13.

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Joined: 15 Jan 2018
Posts: 743
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13.  [#permalink]

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07 Dec 2019, 23:58
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Difficulty:

15% (low)

Question Stats:

87% (02:06) correct 13% (01:43) wrong based on 23 sessions

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Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13. Median (a,b,c) - Mean (a,b,c) = 2. Find the median of a, b, and c.

A. 11.5
B. 9
C. 9.5
D. 12
E. 10

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Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13.  [#permalink]

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08 Dec 2019, 00:08
Let's take a<b<c.
Max(a,b,c)+Min(a,b,c)=c+a+13
Median(a,b,c)-Mean(a,b,c)=b-(a+b+c)/3=2 => 2b-(a+c)=6 ; Substituting the value of a+c => 2b=19,hence b=9.5.

Ans C

Hope it's clear
Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13.   [#permalink] 08 Dec 2019, 00:08
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