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Three people have $32, $72, [#permalink]
15 Oct 2018, 11:46

00:00

Question Stats:

46% (00:57) correct
53% (01:20) wrong based on 15 sessions

Three people have $32, $72, and $98, respectively. If they pool their money then redistribute it among themselves, what is the maximum possible value for the median amount of money?

29. Three people have $32, $72, and $98, respectively. If they pool their money then redistribute it among themselves, what is the maximum possible value for the median amount of money? (A) $72 (B) $85 (C) $98 (D) $101 (E) $202

$32 + $72 + $98 = $202, so we must distribute $202 among the 3 people.

To maximize the median, we must minimize the smallest value. So, let's say one person receives $0 This means the remaining $202 is distributed between the 2 remaining people. We can now maximize the median by splitting the $202 evenly. So, each person receives $101, $101

So, the 3 amounts are $0, $101 and $101

Answer: D

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