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

Step 1: Work out the male-female split.
Total members = 240.
Males \(= \frac{2}{3} \times 240 = 160\).
Females \(= 240 - 160 = 80\).

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

Step 3: Add the two required quantities.
Females who are graduates \(= 60\).
Males who are non-graduates \(= 136\).
Sum \(= 60 + 136 = 196\).

Final Answer:
The required sum is 196. \[ \boxed{196} \]