Quantitative Techniques Question 11

Question; Direction; 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 while boys 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?

Options:

A) 3.3%

B) 7.2%

C) 8.5%

D) 9.32%

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Answer:

Correct Answer; A

Solution:

  • (a) Required percentage = $\frac{5}{150}\times 100 $ = $\frac{10}{3} $ = $ 3 \frac{1}{3} $ % = 3.3%