Question discussion

Instructions: Read the following information carefully to answer the questions given below.In a college, 150 students of MBA are enrolled.…

101675Medium 1 reply 793 views
40
Instructions: Read the following information carefully to answer the questions given below.
In a college, 150 students of MBA are enrolled. The ratio of boys and girls is 7 : 8 respectively. 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. Finance discipline has girls, 20% of their total number and boys 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.
What percentage of students are enrolled in all three disciplines?
  • A3.3%
  • B7.2%
  • C8.5%
  • D9.32%
Answer not set

Discussion 1

0
CCommunity
Correct Option: 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