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What is the sum of the integers in the table above?
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bimalr9
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Re: What is the sum of the integers in the table above? [#permalink] 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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Bambi2021
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What is the sum of the integers in the table above? [#permalink] New post  06 Jul 2021, 04:54
Interesting how many different approaches people used here. My approach, not unique on here, was that every new positive row of numbers will add one time the sum of the first row.

After every row added we will be standing on:

+1 First row
-1
+2
-2
+3
-3
+4

The sum will be the first row times four.

4*(7+7+7+7) = 112
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PayelRB
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What is the sum of the integers in the table above? [#permalink] New post  09 Jul 2021, 03:49
How will this solution work if the number of rows in the table is even. In this case, it is 7 rows, so we can pick the 4th row and multiply each element of the row with 7. But if the number of rows are 8, then how to decide which row to work with?
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100mitra
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Re: What is the sum of the integers in the table above? [#permalink] New post  06 Sep 2021, 01:17
Based on symmetry structure : 16 x 7 = 112 option B
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gmatclubot
Re: What is the sum of the integers in the table above? [#permalink]
06 Sep 2021, 01:17
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