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Can someone provide an example to illustrate the below?

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Senior Manager
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Can someone provide an example to illustrate the below? [#permalink]  29 Nov 2006, 19:53
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Can someone provide an example to illustrate the below? These semingly easy questions are getting the best of my sleepless self.

Over a certain time period, did the number of shares of stock in Ruth's portfolio increase?

1) Over the time period, the ratio of the number of shares to the total number of shares od stock and bond in Ruth's portfolio increased

2) Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased.
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Senior Manager
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Re: GMAT Prep - Ratio DS [#permalink]  29 Nov 2006, 21:23
Can someone provide an example to illustrate the below? These semingly easy questions are getting the best of my sleepless self.

Over a certain time period, did the number of shares of stock in Ruth's portfolio increase?

1) Over the time period, the ratio of the number of shares to the total number of shares od stock and bond in Ruth's portfolio increased

2) Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased.

shares S bonds B

(1) S/S+B could increase if S increases or when B decreases
example 5/(5+6) can increase if num increases 6/(6+6) or if 5/(5+3)

(2) S/S+B it means S+B increased that mens either S or B or both increased

Togather S increased
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I get C as well.

S=shares of stock; B=bonds

Statement 1: Over the time period, the ratio of the number of shares to the total number of shares od stock and bond in Ruth's portfolio increased.

S/(S+B) increases in two ways: S increases or (S+B) decreases. Since we don't know which happens ---> INSUFF

Statement 2: Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased.

(S+B) can increase in three ways: S increases (more than B decreases), B increases (more than S decreases), or both increase. Since we don't know whether S, B, or both increased ---> INSUFF

Together: We know that (S+B) increased and that the ratio S/(S+B) increased. In order for both to hold true, S must increase. SUFFICIENT.
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