The Stock broker in the Dalal street shop sells two kinds of shares: T32 and V45. Each investor buys exactly one share. If there were 300 investors yesterday, what fraction of V45 sold yesterday were bought by female investors? 1. 1 2 of all shares sold yesterday were T32 and 1 3 of all investors yesterday were male. 2. Yesterday, twice as many T32 were bought by females as there were V45 bought by males. Options: A . &nbsp (A) B . &nbsp (B) C . &nbsp (C) D . &nbsp (E) E . &nbsp 660

Answer: Option C : C Statement (1):Insufficient. From the first statement we know that 150 shares and 150 T32 are sold the previous day. M F T o t a l T 150 ( 1 / 2 O F 100 ) V 150 T o t a l 100 200 300 (1/3 of 300) Statement (2): INSUFFICIENT: M F T o t a l T 2 x V x T o t a l 300 (1/3 of 300) Statement (2): INSUFFICIENT. M F T o t a l T 2 x 150 V x 150 T o t a l 100 200 300 we still cannot find out what is asked Statements (1) and (2) together: SUFFICIENT. Combining the tables above, we get the following: Thus, 2x + (150 - x) = 200 x + 150 = 200 x= 50 and the chart can be completed as follows M F T o t a l T 50 100 150 V 50 100 150 T o t a l 100 200 300

The Stock broker in the Dalal street shop sells two kinds of shares: T32 and V

Question

The Stock broker in the Dalal street shop sells two kinds of shares: T32 and V45. Each investor buys exactly one share. If there were 300 investors yesterday, what fraction of V45 sold yesterday were bought by female investors?
1. $\frac{1}{2}$ of all shares sold yesterday were T32 and $\frac{1}{3}$ of all investors yesterday were male.
2. Yesterday, twice as many T32 were bought by females as there were V45 bought by males.

Answer: Option C
:
C
Statement (1):Insufficient. From the first statement we know that 150 shares and 150 T32 are sold the previous day.

\begin{matrix} M & F & T o t a l T & 150 (1 / 2 O F 100) V & 150 T o t a l & 100 & 200 & 300 \end{matrix}

(1/3 of 300)
Statement (2): INSUFFICIENT:

\begin{matrix} M & F & T o t a l T & 2 x V & x T o t a l & 300 \end{matrix}

(1/3 of 300)
Statement (2): INSUFFICIENT.

\begin{matrix} M & F & T o t a l T & 2 x & 150 V & x & 150 T o t a l & 100 & 200 & 300 \end{matrix}

we still cannot find out what is asked
Statements (1) and (2) together: SUFFICIENT. Combining the tables above, we get the following:
Thus, 2x + (150 - x) = 200
x + 150 = 200
x= 50 and the chart can be completed as follows