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by danjuma » Thu Oct 28, 2010 3:49 pm
What is the sum of all the numbers from -203 to 200?

a.-606

b.606.

c.3

d.-3

e.404

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by smar83 » Thu Oct 28, 2010 4:51 pm
Is the answer A?

If yes, then sum = average * # ( no. of terms) ----- (1)

Average = ( -203+200)/2 = -3/2

I am assuming that we are counting these #'s as inclusive, then:

no. of terms = ( Last - first) +1
= (200 -(-203))+1 = 404

substitute the above in (1) you get -606.

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by rkanthilal » Thu Oct 28, 2010 5:34 pm
IMO A -606.

I had a different solution. The numbers from 1 to 200 and -1 to -200 cancel out when added together. So you are left with the sum of -201, -202, and -203. The sum of these numbers is -606.

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by smar83 » Thu Oct 28, 2010 6:22 pm
@rkanthilal..

do you mean different approach? we both got the same answer.

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by rkanthilal » Thu Oct 28, 2010 6:34 pm
smar83 wrote:@rkanthilal..

do you mean different approach? we both got the same answer.
Hi smar83,

Sorry. I meant a "different approach".