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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]

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15 Jan 2012, 14:10
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25% (medium)

Question Stats:

73% (02:31) correct 27% (01:28) wrong based on 130 sessions

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111.JPG [ 15.19 KiB | Viewed 2735 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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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]

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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 [ 15.23 KiB | Viewed 2738 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.

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Re: Sum in the chart [#permalink]

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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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Best Regards,
E.

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

Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7099

Kudos [?]: 93533 [0], given: 10578

Re: Sum in the chart [#permalink]

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15 Jan 2012, 14:39
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]

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15 Jan 2012, 14:42
Absolutely and many thanks. As always, thorough and a very helpful answer.
_________________

Best Regards,
E.

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

Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7099

Kudos [?]: 93533 [0], given: 10578

Re: What is the sum of all of the integers in the chart above? [#permalink]

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22 May 2013, 03:00
Bumping for review and further discussion.
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Re: What is the sum of all of the integers in the chart above? [#permalink]

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22 May 2013, 04:55
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.
Attachments

image.jpg [ 14.15 KiB | Viewed 2006 times ]

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Re: What is the sum of all of the integers in the chart above? [#permalink]

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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]

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29 Jan 2015, 18:10
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Re: What is the sum of all of the integers in the chart above? [#permalink]

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14 Aug 2016, 03:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the sum of all of the integers in the chart above?   [#permalink] 14 Aug 2016, 03:54
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