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# The arithmetic mean of five positive integers a,b,c,d,e is 22 and a<b<

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Senior Manager
Joined: 29 Nov 2018
Posts: 280
Concentration: Marketing, Strategy
The arithmetic mean of five positive integers a,b,c,d,e is 22 and a<b<  [#permalink]

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25 Jan 2019, 09:34
00:00

Difficulty:

65% (hard)

Question Stats:

55% (02:28) correct 45% (02:40) wrong based on 33 sessions

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The arithmetic mean of five positive integers a,b,c,d,e is 22 and a<b<c<d<e. If e is 40, what is the least possible value of the median of the five integers?

A.10
B.11
C.12
D.13
E.14
Director
Joined: 09 Mar 2018
Posts: 997
Location: India
Re: The arithmetic mean of five positive integers a,b,c,d,e is 22 and a<b<  [#permalink]

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25 Jan 2019, 09:57
cfc198 wrote:
The arithmetic mean of five positive integers a,b,c,d,e is 22 and a<b<c<d<e. If e is 40, what is the least possible value of the median of the five integers?

A.10
B.11
C.12
D.13
E.14

a,b,c,d,e is 22, this means their sum would be 110

If a<b<c<d<e

a<b<c<39<40

Now a+b+c =31

Now just go through the options and only 12 can be used in place of c

8<11<12

C
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Re: The arithmetic mean of five positive integers a,b,c,d,e is 22 and a<b<   [#permalink] 25 Jan 2019, 09:57
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