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

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Manager
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over a certain time period, did the number of shares of [#permalink]  20 Feb 2006, 16:42
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over a certain time period, did the number of shares of stock in Fiorina's portfolio increase?

1) over a time period, the ratio of the number of shares of stock to the total number of shares of stocks and bonds in Fiorina's portfolio increased

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

[/quote]
Manager
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Re: DS [#permalink]  20 Feb 2006, 16:47
Avis wrote:
over a certain time period, did the number of shares of stock in Fiorina's portfolio increase?

1) over a time period, the ratio of the number of shares of stock to the total number of shares of stocks and bonds in Fiorina's portfolio increased

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

[/quote]

I would go with C

as if s+b increases and s/s+b also increases in order for the ratio to increase s must be bigger than s+b
Senior Manager
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Re: DS [#permalink]  21 Feb 2006, 07:17
conocieur wrote:
Avis wrote:
over a certain time period, did the number of shares of stock in Fiorina's portfolio increase?

1) over a time period, the ratio of the number of shares of stock to the total number of shares of stocks and bonds in Fiorina's portfolio increased

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

I would go with C

as if s+b increases and s/s+b also increases in order for the ratio to increase s must be bigger than s+b[/quote]

right.... it is Correct !
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vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

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C for me as well.

S1=Initial nb of shares
B1=Initial nb of bonds
S2=Final nb of shares
S2=Final nb of bonds

1)
S2/(S2+B2) > S1/(S1+B1)
We can't conclude that S2>S1 without knowledge of B1 and 2.
Insufficient.

2)
S2+B2 > S1+B1
Same as above. Insufficient.

1+2)
from 1 we have:
S2/(S2+B2) > S1/(S1+B1)
S2 > (S2+B2)/(S1+B1)*S1

from 2 we have (S2+B2)/(S1+B1) > 1

hence S2 > S1
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# over a certain time period, did the number of shares of

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