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

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Senior Manager
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Over a certain time period, did the number of shares of [#permalink]

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24 Oct 2005, 22:30
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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 the number of shares of stock to the toal 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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: over-a-certain-time-period-did-the-number-of-shares-of-97397.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Jul 2013, 04:19, edited 2 times in total.
Edited the question and added the OA
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24 Oct 2005, 22:47
It's C.

Q: did shares S increase?

1) says S/(S+B) increased, B=bonds
This will be true if either only S increased or only B decreased or both happened. Which means the answer to the Q is Yes, No, Yes
NOT => BCE

2) says S+B increased
This will be true if either only S increased or only B increased or both did
NOT SUFF => CE

1+2) For both S/(S+B) and (S+B) to increase, S gotta increase. Let's try numbers..
For S, B, S/(S+B), (S+B):
5, 5, 0.5, 10 be the initial set of values
Let only S increase to 10 => 10, 5, 0.67, 15 - satisfies both stmt's
Let only B increase to 10 => 5, 10, 0.3, 15 - fails the stmt-1
SUFF => C
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Re: DS GPrep - Shares [#permalink]

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25 Oct 2005, 03:50
rigger wrote:
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 of stock to the toal 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.

C for me too..

(1) the increase in the ratio could also have resulted from Ruth selling all her bonds, and not doing anything to stocks

(2) the increase in the total number of shares and bonds could have resulted from ruth only buying more bonds, which increases this number

Combined: Ruths ratio of shares to the total portfolio increased. And the total number of shares of stocks and bonds increased. So she increased her amount of one or both.
To prove the stem wrong (i.e. to find a situation where (1) and (2) occured but the number of shares did not increase), the number of stocks must be kept constant. If this is constant, and the ratio of (1) increased, then the only way to compensate for this is to sell bonds. but from (1) we know that this was not the case....

kinda confusing I know, that's how my brain works
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Re: Over a certain time period, did the number of shares of [#permalink]

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02 Jul 2013, 03:04
What's the OA for this question?
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Re: Over a certain time period, did the number of shares of [#permalink]

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02 Jul 2013, 04:19
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fozzzy wrote:
What's the OA for this question?

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 does $$s$$ increased?

(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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: over-a-certain-time-period-did-the-number-of-shares-of-97397.html
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Re: Over a certain time period, did the number of shares of   [#permalink] 02 Jul 2013, 04:19
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