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If a equals the sum of the even integers from 2 to 200...

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If a equals the sum of the even integers from 2 to 200... [#permalink] New post 06 Jan 2013, 00:24
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If a equals the sum of the even integers from 2 to 200, inclusive, and b equals the sum of the odd integers from 1 to 199, inclusive, what is the value of a - b?

A. 10
B. 100
C. 190
D. 200
E. 210
[Reveal] Spoiler: OA

Last edited by Bunuel on 07 Jan 2013, 01:04, edited 1 time in total.
Edited the question.
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Re: If a equals the sum of the even integers from 2 to 200... [#permalink] New post 06 Jan 2013, 01:09
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Drik wrote:
If a equals the sum of the even integers from 2 to 200, inclusive, and b equals the sum of the odd integers from 1 to 199, inclusive, what is the value of a - b?
[*]10
[*]100
[*]190
[*]200
[*]210


Number of even integers from 2 to 200, inclusive is (200-2)/2 + 1 or 198/2 + 1 or 100.
Mean of evenly spaced set that includes all the even numbers from 2 to 200 inclusive is (200+2)/2 or 101.
Therefore a= 101*100

Number of odd integers from 1 to 199, inclusive is (199-1)/2 + 1 or 198/2 +1 or 100.
Mean of evenly spaced set that includes all the odd numbers from 1 to 199, inclusive is (199+1)/2 or 100.
Therefore b=100*100

hence a-b=(100 * (101-100)) or 100
+1B
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Re: If a equals the sum of the even integers from 2 to 200... [#permalink] New post 07 Jan 2013, 01:05
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Expert's post
Drik wrote:
If a equals the sum of the even integers from 2 to 200, inclusive, and b equals the sum of the odd integers from 1 to 199, inclusive, what is the value of a - b?

A. 10
B. 100
C. 190
D. 200
E. 210


Similar questions to practice:
if-x-is-equal-to-the-sum-of-the-integers-from-30-to-127276.html (MGMAT)
if-m-equals-the-sum-of-the-even-integers-from-2-to-128426.html
if-x-is-equal-to-the-sum-of-the-even-integers-from-40-to-97544.html

Hope it helps.
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Re: If a equals the sum of the even integers from 2 to 200...   [#permalink] 07 Jan 2013, 01:05
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