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A
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Difficulty:
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Question Stats:
84% (00:52) correct
16%
(00:53)
wrong
based on 626
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If n is the sum of the integers from -203 to 200, inclusive, then n =
A. -606
B. -456
C. -233
D. -3
E. 0
A. -606
B. -456
C. -233
D. -3
E. 0
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11 Mar 2017, 16:28
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X514
Notice that each positive term can be matched with a negative term to create a sum of ZERO.
For example, (-200) + 200 = 0, and (-199) + 199 = 0
We have: (-203) + (-202) + (-201) + (-200) + (-199) + (-198) + ...... + 198 + 199 + 200 = (-203) + (-202) + (-201) + 0 + 0 ..... + 0
= -606
Answer: A
Cheers,
Brent
13 Mar 2017, 11:25
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Hi X514,
GMAT questions are rarely about doing 'lots of math', so it often helps to look for patterns in the way the prompt is designed (and avoid doing lots of math if possible).
Here, we're asked for the sum of a LOT of integers - and if we tried to add them all up 'in order', then that would take a really long time (and we might end up making mistakes). Given the range of integers (-203 to 200, inclusive), we should look for a pattern...
-1 + 1 = 0
-2 + 2 = 0
-3 + 3 = 0
Etc.
Notice all of the 0s that we'd end up with... and the numbers that would be 'left over'... -203, -202 and -201. The sum isn't that difficult to total now.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
GMAT questions are rarely about doing 'lots of math', so it often helps to look for patterns in the way the prompt is designed (and avoid doing lots of math if possible).
Here, we're asked for the sum of a LOT of integers - and if we tried to add them all up 'in order', then that would take a really long time (and we might end up making mistakes). Given the range of integers (-203 to 200, inclusive), we should look for a pattern...
-1 + 1 = 0
-2 + 2 = 0
-3 + 3 = 0
Etc.
Notice all of the 0s that we'd end up with... and the numbers that would be 'left over'... -203, -202 and -201. The sum isn't that difficult to total now.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
