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

It helps to express every group as a share of the full team of 240 before converting to actual head counts.

1. Gender split: males are $\frac{2}{3}$ of 240, i.e. $160$; females are the remaining $\frac{1}{3}$, i.e. $80$.
2. Male graduates: $15\%$ of $160 = 24$, so non-graduate males $= 160 - 24 = 136$.
3. Female graduates: $\frac{3}{4}$ of $80 = 60$, so non-graduate females $= 80 - 60 = 20$.
4. Difference required: non-graduate females $(20)$ versus graduate males $(24)$ gives $24 - 20 = 4$.

So the difference between the number of non-graduate females and graduate males is 4. $$\boxed{4}$$