Quantitative Aptitude Ques 1661

Question: Directions: Use the given information to answer the following questions.

The pie charts below show the percentage of students in each faculty at North-West University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total 1049 students in Arts faculty. How many students are there in the Engineering faculty?

Options:

A) 420

B) 410

C) 390

D) 440

E) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • As there are 1049 students in Arts which constitutes 23% of total students by faculty. Let the total number of students in the university be x.

$ \therefore $ 23% of $ x=1049 $

$ \Rightarrow $ $ \frac{23\times x}{100}=1049 $

$ \Rightarrow $ $ x=\frac{1049\times 100}{23}\approx 4560 $

$ \therefore $ Total students $ =4560 $ Percentage of engineering students $ =9% $

$ \therefore $ Total number of engineering students $ =9\times \frac{4560}{100}\approx 410 $