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 ratio between the total number of males and the number of females who are non-graduates?

• A. 6:1
• B. 8:1
• C. 8:3
• D. 5:2

Hint:

Find total males and non-graduate females, then simplify the ratio.

Answer 1

The Correct Option is B

This question only needs two numbers: the total male count and the non-graduate female count.

1. Total males: $\frac{2}{3}$ of 240 is $160$.
2. Non-graduate females: females are $\frac{1}{3}$ of 240, i.e. $80$; three-fourths of them are graduates, so one-fourth are non-graduates, giving $\frac{1}{4}\times80=20$.
3. Simplify the ratio: $160:20$ divides down by $20$ to give $8:1$.

So the ratio between total males and non-graduate females is 8:1. $$\boxed{8:1}$$