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20 Jan 2025, 01:30
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Difficulty:
45%
(medium)
Question Stats:
70% (01:53) correct
30%
(01:41)
wrong
based on 105
sessions
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What was the ratio of the number of shares of stock X to shares of stock Y in Quinn's portfolio 60 days ago?
(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2
(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.
(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2
(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.
20 Jan 2025, 02:45
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ratio of the number of shares of stock X to shares of stock Y in Quinn's portfolio 60 days ago?
Let x be number of shares of stock X and y be number of shares of stock Y.
We need to find \(\frac{x}{y}\)
(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2
This statement gives us the following relation:
\(\frac{(x+13)}{y}=\frac{3}{2}\)
As can be seen the ratio cannot be determined without the knowledge of either x of y. Hence Not sufficient
(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.
This statement gives us the following relation:
\(\frac{(1.05*x)}{y}= \frac{3}{2}\)
Here the ration \(\frac{x}{y}\) can be determined. Hence Suitable
IMO Ans B
Let x be number of shares of stock X and y be number of shares of stock Y.
We need to find \(\frac{x}{y}\)
(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2
This statement gives us the following relation:
\(\frac{(x+13)}{y}=\frac{3}{2}\)
As can be seen the ratio cannot be determined without the knowledge of either x of y. Hence Not sufficient
(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.
This statement gives us the following relation:
\(\frac{(1.05*x)}{y}= \frac{3}{2}\)
Here the ration \(\frac{x}{y}\) can be determined. Hence Suitable
IMO Ans B
