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# The average of six different positive integers is 5. What is the great

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Math Expert
Joined: 02 Sep 2009
Posts: 60627
The average of six different positive integers is 5. What is the great  [#permalink]

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07 Sep 2017, 23:08
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Difficulty:

65% (hard)

Question Stats:

56% (01:54) correct 44% (01:39) wrong based on 110 sessions

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The average of six different positive integers is 5. What is the greatest possible value of the 3rd greatest of those integers?

A. 6
B. 7
C. 8
D. 9
E. 28

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Joined: 18 Aug 2016
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Re: The average of six different positive integers is 5. What is the great  [#permalink]

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07 Sep 2017, 23:14
Bunuel wrote:
The average of six different positive integers is 5. What is the greatest possible value of the 3rd greatest of those integers?

A. 6
B. 7
C. 8
D. 9
E. 28

lowest 3 = 1, 2, 3
Sum of all 6 integers = 6*5 = 30
Sum of Top 3 = 30-6 = 24
third highest integer can have 7
as 7, 8, 9 sum is 24

B
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Re: The average of six different positive integers is 5. What is the great   [#permalink] 07 Sep 2017, 23:14
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