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Shares of Stock in Ruth's Portfolio

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by queenisabella » Sat Mar 31, 2012 5:42 pm
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 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.


Curious to see how others get to the answer quickly. I simply used logic here and didn't do any computation.

OA is C.
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Source: — Data Sufficiency |
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by Bill@VeritasPrep » Sat Mar 31, 2012 5:47 pm
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.
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by Anurag@Gurome » Sun Apr 01, 2012 9:39 pm
queenisabella 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 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.


Curious to see how others get to the answer quickly. I simply used logic here and didn't do any computation.

OA is C.

Let us assume that number of shares = S and number of bonds = B

(1) Over the time period, the ratio of the number of shares of stock to the total number of shares of stocks and bonds in Ruth's portfolio increased implies S : (S + B) increased but this does not imply for sure if the number of shares of stock in Ruth's portfolio increased, it could be due decrease also; NOT sufficient.

(2) Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased implies S + B increased but again this does not imply for sure if the number of shares of stock in Ruth's portfolio increased; NOT sufficient.

Combining (1) and (2), S + B increased and S : (S + B) increased, which is possible only if S is also increased; SUFFICIENT.

The correct answer is C.
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by dhonu121 » Fri Jun 22, 2012 12:45 am
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 total number of shares of stocks and bonds in Ruth's portfolio increased. (r/r+d) increased. So either r increased or d decresed. Insuff.

(2) Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased. (r+d) increasaed. Hence either of r or d could have increased. hence Insuff.

Using 1 and 2, r+d increased, hence for 1 to be true, r should have increased and not d.
Curious to see how others get to the answer quickly. I simply used logic here and didn't do any computation.
1 and 2 sufficient.
Hence C
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