Question

Of the $120$ people in the room, $\frac{3}{5}$ are women. If $\frac{2}{3}$ of the people are married, what is the maximum number of women in the room who could be unmarried?

• A. $40$
• B. $20$
• C. $30$
• D. $60$

Answer 1

The correct option is A $40$

Number of women in the room=$\frac{3}{5}\times 120=72$

Number of married people in the room=$\frac{2}{3}\times 120=80$

Number of unmarried people in the room=$120-80=40$

Number of women$=72$

Number of unmarried $=40$

So number of women unmarried $=40$