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# If T is a set of 35 consecutive integers, of which 17 are negative

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Intern
Joined: 17 Oct 2016
Posts: 2
If T is a set of 35 consecutive integers, of which 17 are negative [#permalink]

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05 Dec 2017, 12:33
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88% (00:38) correct 13% (00:33) wrong based on 40 sessions

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If T is a set of 35 consecutive integers, of which 17 are negative, what is the sum of all the integers in T ?

A. -2
B. -1
C. 0
D. 1
E. 2
[Reveal] Spoiler: OA

Last edited by Dav5599 on 05 Dec 2017, 16:02, edited 2 times in total.
VP
Joined: 22 May 2016
Posts: 1260
Re: If T is a set of 35 consecutive integers, of which 17 are negative [#permalink]

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05 Dec 2017, 13:43
Dav5599 wrote:
If T is a set of 35 consecutive integers, of which 37 are negative, what is the sum of all the integers in T?

A. -2
B. -1
C. 0
D. 1
E. 2

Dav5599 - are these numbers correct?
The set = 35, but 37 of the 35 are negative?
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Intern
Joined: 17 Oct 2016
Posts: 2
Re: If T is a set of 35 consecutive integers, of which 17 are negative [#permalink]

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05 Dec 2017, 14:30
There was a typo in the question. Corrected now. Thanks.
VP
Joined: 22 May 2016
Posts: 1260
Re: If T is a set of 35 consecutive integers, of which 17 are negative [#permalink]

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05 Dec 2017, 16:04
Dav5599 wrote:
If T is a set of 35 consecutive integers, of which 17 are negative, what is the sum of all the integers in T?

A. -2
B. -1
C. 0
D. 1
E. 2

17 of 35 consecutive integers are negative.
(35 - 17) = 18 terms left.
The first number after -1 is 0.
(18 - 1) = 17 terms left: all positive.

$$-17, -16, ... -2, -1, 0, 1, 2 ... 16, 17$$
The 17 negative integers cancel the 17 positive integers; the sum of 34 of the numbers is 0. Add to the remaining number, 0. (0 + 0) = 0

**If not sure, take fewer numbers, with an odd number of terms:
-3 + (-2) + (-1) + 0 + 1 + 2 + 3 = 0

Sum of negative: -6
Sum of positive: 6
Add 0: (-6 + 6 + 0) = 0

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At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Re: If T is a set of 35 consecutive integers, of which 17 are negative   [#permalink] 05 Dec 2017, 16:04
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