Quantitative Techniques Question 14

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. By what percent is the number of boys in marketing more than the number of girls in HR discipline?

Options:

A) 13 $\frac{1}{3} $ %

B) 33 $\frac{1}{3} $ %

C) 14 $\frac{2}{3} $ %

D) 16 $\frac{2}{3} $ %

Show Answer

Answer:

Correct Answer; D

Solution:

(d) Required percentage $ =\frac{28-24}{24}\times 100 $ $ =\frac{4}{24}\times 100 =\frac{1}{6}\times 100 = 16 \frac{2}{3}% $