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What is the sum of all of the integers in the chart above?

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What is the sum of all of the integers in the chart above? [#permalink] New post 15 Jan 2012, 14:10
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (02:24) correct 27% (01:38) wrong based on 85 sessions
Attachment:
111.JPG
111.JPG [ 15.19 KiB | Viewed 1711 times ]
What is the sum of all of the integers in the chart above?

A. 0
B. 300
C. 500
D. 1500
E. 6500
[Reveal] Spoiler: OA

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Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730


Last edited by Bunuel on 22 May 2013, 02:49, edited 4 times in total.
Edited the question and added the chart
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Re: Sum in the chart [#permalink] New post 15 Jan 2012, 14:27
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enigma123 wrote:
Guys - please see attached. can you please let me know what is the underlying concept behind to solve this and what will be the answer? I don't have an OA unfortunately.

What is the sum of all of the integers in the chart above?

A. 0
B. 300
C. 500
D. 1500
E. 6500


Reorder the numbers in columns in ascending absolute value:
Attachment:
untitled.JPG
untitled.JPG [ 15.23 KiB | Viewed 1724 times ]
Now, it's easy to spot that the numbers in each column represent an equally spaced set (AP) and the sum in each can be found by mean*# of terms:

Sum=5*100+5*(-200)+5*(300)+5*(-400)+5*(500)=500-1,000+1,500-2,000+2,500=1,500.

Answer: D.
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Re: Sum in the chart [#permalink] New post 15 Jan 2012, 14:29
Sorry Bunuel. The question is What is the sum of all of the integers in the chart above?
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MGMAT 1 --> 530
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Re: Sum in the chart [#permalink] New post 15 Jan 2012, 14:39
Expert's post
enigma123 wrote:
Sorry Bunuel. The question is What is the sum of all of the integers in the chart above?


Yes, I guessed so and that's exactly the question I answered in my previous post.

P.S. Edited the question in your initial post and added the chart.
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Re: Sum in the chart [#permalink] New post 15 Jan 2012, 14:42
Absolutely and many thanks. As always, thorough and a very helpful answer.
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MGMAT 1 --> 530
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Re: What is the sum of all of the integers in the chart above? [#permalink] New post 22 May 2013, 03:00
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Re: What is the sum of all of the integers in the chart above? [#permalink] New post 22 May 2013, 04:55
Expert's post
enigma123 wrote:
Attachment:
The attachment 111.JPG is no longer available
What is the sum of all of the integers in the chart above?

A. 0
B. 300
C. 500
D. 1500
E. 6500


Sum of the first column = 5*100 = 500.
Sum of the last column = 500+5*400 = 2500[As all the corresponding terms are increased by 400]
Sum of the second column = 5*-200 = -1000
Sum of the fourth column = -1000-5*200 = -2000
The total sum = 500+2500-1000-2000 = 0
Thus everything when added gets cancelled. Except the inner column. That is an AP and the sum = 5*300 = 1500.
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Re: What is the sum of all of the integers in the chart above? [#permalink] New post 22 May 2013, 08:47
It is easy once you spot that in the same row, the 1st outer most and the second outer most cancel one another. You are then left with adding the column in the middle.
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Re: What is the sum of all of the integers in the chart above? [#permalink] New post 29 Jan 2015, 18:10
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Re: What is the sum of all of the integers in the chart above?   [#permalink] 29 Jan 2015, 18:10
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