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# PS: Series

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Retired Moderator
Joined: 18 Jul 2008
Posts: 893

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22 Apr 2009, 17:50
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:46) wrong based on 0 sessions

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Series A(n) is such that i*A(i) = j*A(j) for any pair of positive integers (i, j). If A(1) is a positive integer, which of the following is possible?

I. 2A(100) = A(99) + A(98)

II. A(1) is the only integer in the series

III. The series does not contain negative numbers

I only
II only
I and III only
II and III only
I, II, and III

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Intern
Joined: 07 Feb 2009
Posts: 46

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22 Apr 2009, 21:49
how to start is a big problem here.
Manager
Joined: 05 Jul 2008
Posts: 131
GMAT 2: 740 Q51 V38

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23 Apr 2009, 04:53
Series A(n) is such that i*A(i) = j*A(j) for any pair of positive integers (i, j). If A(1) is a positive integer, which of the following is possible?

I. 2A(100) = A(99) + A(98)

II. A(1) is the only integer in the series

III. The series does not contain negative numbers

I only
II only
I and III only
II and III only
I, II, and III

D for me.
i=1: 1 * A(1)= j * A(j)
Let A(1) be X (X is a positive integer) so A(n)= X/n (n is a positive integer)
II is possible because if X = 1, A(j)= 1/j while j is a positive number so A(j) is not a integer
III is true
I: 2 A(100) = 2 * X/100 = X/50
A(98) + A(99)= X/98 + X/99
So I is not possible because X is different from 0

It's nice to be here since a long time, wow, so much new posters.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS: Series &nbs [#permalink] 23 Apr 2009, 04:53
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