Question

In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remaining males are non-graduates. Three-fourth of the females are graduates. Remaining females are non-graduates.

What is the difference between the number of females who are non-graduates and the number of males who are graduates?

• A. 2
• B. 24
• C. 4
• D. 116

Hint:

Compute graduate males and non-graduate females separately, then subtract.

Answer 1

The Correct Option is C

Step 1: Split the team into males and females.
Total members = 240.
Males \(= \frac{2}{3} \times 240 = 160\).
Females \(= 240 - 160 = 80\).

Step 2: Split each group into graduates and non-graduates.
Graduate males \(= 15\% \text{ of } 160 = \frac{15}{100} \times 160 = 24\).
Non-graduate males \(= 160 - 24 = 136\).
Graduate females \(= \frac{3}{4} \times 80 = 60\).
Non-graduate females \(= 80 - 60 = 20\).

Step 3: Find the required difference.
Females who are non-graduates \(= 20\).
Males who are graduates \(= 24\).
Difference \(= 24 - 20 = 4\).

Final Answer:
The difference is 4. \[ \boxed{4} \]