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What is the sum of the integers between -90 and 95, inclusive?

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Bunuel
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What is the sum of the integers between -90 and 95, inclusive? [#permalink] New post   12 Dec 2019, 02:36
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What is the sum of the integers between -90 and 95, inclusive?

A. 5
B. 185
C. 465
D. 4,275
E. 4,560
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C
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zhanbo
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Re: What is the sum of the integers between -90 and 95, inclusive? [#permalink] New post   12 Dec 2019, 02:40
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It took me 32 seconds to select (C), i.e 465

-90 -89 -88 .... +88 + 89 + 90 + 91 + 92 + 93 + 94 + 95
= 91 + 92 + 93 + 94 + 95
= 93 X 5
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rajatchopra1994
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Re: What is the sum of the integers between -90 and 95, inclusive? [#permalink] New post   12 Dec 2019, 03:04
Bunuel wrote:
What is the sum of the integers between -90 and 95, inclusive?

A. 5
B. 185
C. 465
D. 4,275
E. 4,560


Explanation:
Calculate Sum from : -90 to 0 & 1 to 95
From: 1 to 95
Sum= 95*96/2 = 4560
From: -90 to 0
Sum= - (90*91)/2 = -4095

Now From -90 to 95 = 4560-4095
=465

IMO-C
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Re: What is the sum of the integers between -90 and 95, inclusive? [#permalink] New post   12 Dec 2019, 03:10
rajatchopra1994 wrote:
Bunuel wrote:
What is the sum of the integers between -90 and 95, inclusive?

A. 5
B. 185
C. 465
D. 4,275
E. 4,560


Explanation:
Calculate Sum from : -90 to 0 & 1 to 95
From: 1 to 95
Sum= 95*96/2 = 4560
From: -90 to 0
Sum= - (90*91)/2 = -4095

Now From -90 to 95 = 4560-4095
=465

IMO-C


This is a logical approach with right answer, but we can cancel out -90 with 90, -89 with 89, etc. That way, we only need to worry about the sum from 91 to 95.

It is always a good idea to reduce the calculation for higher speed and accuracy. :-)
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Re: What is the sum of the integers between -90 and 95, inclusive? [#permalink] New post   02 Jan 2024, 07:53
Bunuel wrote:
What is the sum of the integers between -90 and 95, inclusive?

A. 5
B. 185
C. 465
D. 4,275
E. 4,560

-90 to 90 , sum = 0

\(91 - 95 = 91 + 92 + 93 + 94 + 95 => 465\), Answer will be (C)
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Re: What is the sum of the integers between -90 and 95, inclusive? [#permalink]
02 Jan 2024, 07:53
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