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# there are a set of 5 positive integers. Sum of these

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Director
Joined: 21 Sep 2004
Posts: 607
there are a set of 5 positive integers. Sum of these [#permalink]

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23 Nov 2004, 15:42
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there are a set of 5 positive integers. Sum of these integers is not greater than 9. what is the greatest number of the these 5 integers?

(a) the arithmetic mean is 8/5.

(b) the median is 2.
Manager
Joined: 09 Sep 2004
Posts: 164

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23 Nov 2004, 17:33
Is the ans C? Not too sure though but I will give it a try.

1. says mean is 8/5. That means that the summation of the figures is 8. Not suff on its own to answer the question.

2. Says that the median is 2. That means that the middle number is 2. Again insuff on its own to answer the question.

The 2 together: we know that middle number is 2 and the summation is 8. Therefore we have a total of 6 to play around with. After cracking my brain for a few secs, I came to the conclusion that the other numbers will be 1,1,2,2. So 2 is the largest number, hence my ans C.

Pls correct me if I am wrong.
Director
Joined: 31 Aug 2004
Posts: 607

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24 Nov 2004, 04:17
I pick C too.

In addition to what said ninomoi, if the stem was "sum no greater than 8" then statement 2 would ne enough, greatest number being 2 (1,1,2,2,2). As 9 need also to be considered, 3 could be the greatest number so statement 2 is not enough...
Senior Manager
Joined: 19 Nov 2004
Posts: 281
Location: Germany

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24 Nov 2004, 12:33
AM of five positive integers = 8/5. This means their sum is 8.

Since all the integers are positive, let the first 4 be '1', then the largest possible integer could be '4'.
24 Nov 2004, 12:33
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# there are a set of 5 positive integers. Sum of these

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