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 ?

Options

A. 184
B. 96
C. 156
D. 84

Explanation

To solve the problem step by step, we will break down the information provided and calculate the required values.

### Step 1: Determine the number of males and females in the team.
- Total members in the team = 240
- Two-thirds of the members are males.

**Calculation:**
Number of males = (2/3) * 240 = 160
Number of females = Total members - Number of males
Number of females = 240 - 160 = 80

### Step 2: Calculate the number of male graduates and non-graduates.
- Fifteen percent of males are graduates.

**Calculation:**
Number of male graduates = 15% of 160
Number of male graduates = (15/100) * 160 = 24

Now, we can find the number of non-graduate males.
Number of male non-graduates = Number of males - Number of male graduates
Number of male non-graduates = 160 - 24 = 136

### Step 3: Calculate the number of female graduates and non-graduates.
- Three-fourths of the females are graduates.

**Calculation:**
Number of female graduates = (3/4) * 80 = 60

Now, we can find the number of non-graduate females.
Number of female non-graduates = Number of females - Number of female graduates
Number of female non-graduates = 80 - 60 = 20

### Step 4: Find the sum of the number of female graduates and male non-graduates.
**Calculation:**
Sum = Number of female graduates + Number of male non-graduates
Sum = 60 + 136 = 196

### Final Answer:
The sum of the number of females who are graduates and the number of males who are non-graduates is **196**.

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