Directions: Read the following information carefully to answer the questions given below:

In a college, 150 students of MBA are enrolled. The ratio of boys to girls is 7 : 8. There are three disciplines, namely Marketing, HR and Finance, in the college. In Marketing discipline there are 50% girls of their total number and the boys are 40% of their total number. In HR discipline, girls are 30% of their total number while boys are 30% of their total number. Finance discipline has girls 20% of their total number and the boys are 30% of their total number. 7 boys and 9 girls are in HR and Marketing both. 6 boys and 7 girls are in HR and Finance both. 5 boys and 8 girls are in Marketing and Finance both. 2 boys and 3 girls are enrolled in all three disciplines.
Important for :
1
What percentage of students are enrolled in all three disciplines?
» Explain it
A
 Boys = 7 × 150 = 70;  Girls = 8 × 150 = 80 15 15

 Disciplines Boy Girl Marketing, n(M) 28 40 HR, n(M) 21 24 Finance, n(F) 21 16 HR + Marketing, n (H ∩ M) 7 9 HR + Finance, n(H ∩ F) 6 7 Marketing + Finance, n (M ∩ F) 5 8 Marketing + Finance + HR, n (M ∩ F ∩ H) 2 3

 Reqd% = 5 × 100 = 3.33% 150
2
What is the ratio of boys to girls only in Marketing discipline?
» Explain it
B
 Boys = 7 × 150 = 70;  Girls = 8 × 150 = 80 15 15

 Disciplines Boy Girl Marketing, n(M) 28 40 HR, n(M) 21 24 Finance, n(F) 21 16 HR + Marketing, n (H ∩ M) 7 9 HR + Finance, n(H ∩ F) 6 7 Marketing + Finance, n (M ∩ F) 5 8 Marketing + Finance + HR, n (M ∩ F ∩ H) 2 3

Reqd ratio = 18 : 26 = 9 : 13
3
The ratio of the number of boys in Marketing and Finance both to that of girls only in Finance is
» Explain it
C
 Boys = 7 × 150 = 70;  Girls = 8 × 150 = 80 15 15

 Disciplines Boy Girl Marketing, n(M) 28 40 HR, n(M) 21 24 Finance, n(F) 21 16 HR + Marketing, n (H ∩ M) 7 9 HR + Finance, n(H ∩ F) 6 7 Marketing + Finance, n (M ∩ F) 5 8 Marketing + Finance + HR, n (M ∩ F ∩ H) 2 3

Reqd ratio = 5 : 4
4
By what per cent is the number of of boys in Marketing discipline more than the number of girls in HR discipline?
» Explain it
D
 Boys = 7 × 150 = 70;  Girls = 8 × 150 = 80 15 15

 Disciplines Boy Girl Marketing, n(M) 28 40 HR, n(M) 21 24 Finance, n(F) 21 16 HR + Marketing, n (H ∩ M) 7 9 HR + Finance, n(H ∩ F) 6 7 Marketing + Finance, n (M ∩ F) 5 8 Marketing + Finance + HR, n (M ∩ F ∩ H) 2 3

 Reqd% = 28 – 24 × 100 = 4 × 100 = 16 2 % 24 24 3

5
The ratio of boys to girls enrolled only in HR discipline is
» Explain it
A
 Boys = 7 × 150 = 70;  Girls = 8 × 150 = 80 15 15

 Disciplines Boy Girl Marketing, n(M) 28 40 HR, n(M) 21 24 Finance, n(F) 21 16 HR + Marketing, n (H ∩ M) 7 9 HR + Finance, n(H ∩ F) 6 7 Marketing + Finance, n (M ∩ F) 5 8 Marketing + Finance + HR, n (M ∩ F ∩ H) 2 3

Reqd ratio = 10 : 11