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# Over a certain time period, did the number of shares of

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Intern
Joined: 22 Mar 2010
Posts: 41
Over a certain time period, did the number of shares of  [#permalink]

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17 Jul 2010, 10:23
2
12
00:00

Difficulty:

55% (hard)

Question Stats:

61% (01:37) correct 39% (01:21) wrong based on 414 sessions

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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 number of shares of stock to the total number of shares of stocks and bonds 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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Joined: 02 Sep 2009
Posts: 52285
Over a certain time period, did the number of shares of  [#permalink]

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17 Jul 2010, 10:59
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Over a certain time period, did the number of shares of stock in Ruth's portfolio increase?

Let the # of stock be $$s$$ and the # of bonds be $$b$$. The question is did $$s$$ increase?

(1) Over the time period, the ratio of number of shares of stock to the total number of shares of stocks and bonds in Ruth's portfolio increased. $$\frac{s}{s+b}$$ increased. Not sufficient, as for example it's possible that $$s$$ increased $$b$$ remained the same or $$s$$ remained the same and $$b$$ decreased.

(2) Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased. $$s+b$$ increased. Clearly insufficient.

(1)+(2) $$\frac{s}{s+b}$$ increased and $$s+b$$ (denominator) also increased, so it must be true that $$s$$ (nominator) increased too. Sufficient.

Hope it's clear.
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##### General Discussion
Intern
Joined: 22 Mar 2010
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17 Jul 2010, 10:27
1
I chose A...but it isnt the correct answer.
Logic :
(#of shares of stocks/Tot shares+bonds)-->increases
Hence number of shares of stocks would have a direct dependency, hence it increase as well.
Director
Joined: 26 Oct 2016
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Location: United States
Schools: HBS '19
GMAT 1: 770 Q51 V44
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Re: Over a certain time period, did the number of shares of  [#permalink]

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08 Feb 2017, 19:36
2
1) The ratio of shares:total could increase by adding more shares or by reducing the number of bonds. Insufficient.

2) The total number could increase by adding shares, adding bonds, or both. Insufficient.

Combined, we know the total number of shares and bonds went up, and we know the ratio of shares:total went up. The only way both statements can be true is if the number of shares increased. Thus, we need both statements.
Hence C.
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Thanks & Regards,
Anaira Mitch

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Re: Over a certain time period, did the number of shares of  [#permalink]

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28 Mar 2018, 23:44
EnterMatrix wrote:
I chose A...but it isnt the correct answer.
Logic :
(#of shares of stocks/Tot shares+bonds)-->increases
Hence number of shares of stocks would have a direct dependency, hence it increase as well.

Even I did the question with the same logic, since the ratio is increasing so either only numerator increases or both numr and denomr should be increasing.
Re: Over a certain time period, did the number of shares of &nbs [#permalink] 28 Mar 2018, 23:44
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