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What is the sum of the integers in the table above?

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

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New post 25 Jun 2016, 00:00
Baten80 wrote:
Attachment:
Table.jpg

What is the sum of the integers in the table above?

(A) 28
(B) 112
(C) 336
(D) 448
(E) 784


Sum of first row is 28.
Sum of second row is -56.
Sum of third row is 84.
By this point I realized the rows are in multiples of 28.

difference between first and second row is -28. likewise, difference of 3-4 row and 5-6 row will be -28, -28.
28 * 7 = 196
-28 * 3 = -84.
196 + (-84) = 112.
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Re: What is the sum of the integers in the table above?  [#permalink]

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New post 13 Mar 2018, 18:13
jlgdr wrote:
Baten80 wrote:
Attachment:
Table.jpg

What is the sum of the integers in the table above?

(A) 28
(B) 112
(C) 336
(D) 448
(E) 784


I think the best way to solve this type of problems is to try to cancel out some of the numbers before operating since you have positives and negatives.
I quickly realized that lines 1,3 and 4 could cancel out. Then by combining lines 5,6 and 7 you get the same numbers in line 6 but with different signs. So you can actually then combine that one with line 2 and just get a series of multiples by 4 starting with 4+8+12....+28.

So 7 terms average 16 = 112

It seems more complicated than it really is. I guess one could find other patterns and even cancel something else out, but you should not overthink it.
At least cancel 2/3 lines and then you can start adding/subtracting to get another evenly spaced set of numbers.

Hope it helps

How come lines 1,3 & 4 be cancel out? Please help..lot of confusion for this

Sent from my MI 5 using GMAT Club Forum mobile app
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Re: What is the sum of the integers in the table above?  [#permalink]

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New post 20 Nov 2019, 05:06
I approached this problem in a very different way so that I only have to add numbers
The sum of every column is a multiple of 4. And it increases from the 1st to the 7th column (4,8,12,16,20,24,28) I added them up. You can also use the formula avg*7=16*7

Baten80 wrote:
Image
What is the sum of the integers in the table above?

(A) 28
(B) 112
(C) 336
(D) 448
(E) 784

Attachment:
Table.jpg
GMAT Club Bot
Re: What is the sum of the integers in the table above?   [#permalink] 20 Nov 2019, 05:06

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