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 sum of the number of females who are graduates and the number of males who are non-graduates?

• A. 184
• B. 96
• C. 156
• D. 196

Hint:

Add female graduates to male non-graduates directly, the other two groups are not needed.

Answer 1

The Correct Option is D

Instead of computing every category, focus only on the two groups this question asks for.

1. Females who are graduates: females number $\frac{1}{3}\times240 = 80$, and $\frac{3}{4}$ of them are graduates, giving $\frac{3}{4}\times80 = 60$.
2. Males who are non-graduates: males number $\frac{2}{3}\times240=160$, and since $15\%$ are graduates, the non-graduate share is $85\%$, giving $\frac{85}{100}\times160=136$.
3. Add the two figures: $60+136=196$.

So the sum of female graduates and male non-graduates is 196. $$\boxed{196}$$