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# T is a set of 16 consecutive integers.Is the sum of the

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Intern
Joined: 20 Aug 2003
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T is a set of 16 consecutive integers.Is the sum of the [#permalink]  26 Aug 2003, 03:52
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T is a set of 16 consecutive integers.Is the sum of the integers positive?

1) the median of the set is positive

2) There is an integer -7 in the set.

Sorry if something doesn't make sense in the question, but that's all I could remember!!!
Intern
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Can anyone please explain the logic behind it???

Thanks........
Manager
Joined: 10 Jun 2003
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p_malh wrote:
Can anyone please explain the logic behind it???

Thanks........

Sure, I'll try.

(A) if there are 16 consecutive integers, and the median is positive, then the "least" set that we could have is...

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

Where the median is 1 and the sum is positive. All other examples will have a higher median and therefore a higher positive sum.

A is suff.

(B) In this example, one possibility is the set above in A. Another example could be like

-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3

This sum would be negative. So we have shown one possibility where the sum is positive and one where it is negative.

Thus, B is not suff.
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Sept 3rd

Intern
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Thanks a lot mciatto!!!

here's a silly question-

is 0 an even integer?

There's a reason I'm asking this, trust me!!!
Manager
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0 is an even integer, but neither positive nor negative.

That's a good thing to know.
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Sept 3rd

Manager
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since 16 is even is the median the middle two numbers=0+1=1/2?
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rich28 wrote:
since 16 is even is the median the middle two numbers=0+1=1/2?

The median is still positive.

thanks
praetorian
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