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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:

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.

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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