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PS - simple counting

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Director
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PS - simple counting [#permalink] New post 14 Jul 2007, 23:49
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A
B
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D
E

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Each question is worth 67 points more than the preceding question. If the 10 questions on the questionnaire are worth 6090 points, how many points are all questions worth?

Last edited by nick_sun on 28 Jun 2008, 02:13, edited 1 time in total.
Director
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Re: PS - simple counting (S25-36) [#permalink] New post 14 Jul 2007, 23:56
nick_sun wrote:
So it seems to be very very very simple question. But my answer is somehow wrong :) I think that the reference answer to it is incorrect. Wonna check it with you :roll:

*****************************
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?

A. 18
B. 24
C. 26
D. 32
E. 44


C.

360 = x + (x + 4) + (x + 8) + ................ + (x + 36)
360 = 10x + 4 + 8 + ................ + 36
360 = 10x + 4 (1 + 2 + ................ + 9)
360 = 10x + 4 (45)
x = 18


third = x + 2(4) = 18 + 8 = 26
Re: PS - simple counting (S25-36)   [#permalink] 14 Jul 2007, 23:56
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