Test Index

MAT Exam 2020 Paper

Question Numbers: 146-150

DIRECTIONS (Qs.146-150): The following pie charts show the distribution of students of graduate and post-graduate levels in seven different institutes namely

P, Q, R, S, T, V

and

W

Total Number of Students of Graduate Level = 25400

Total Number of Students of Post-Graduate Level = 18600

Question : 148 of 200

Marks: +1, -0

What is the nearest ratio between the number of students studying at post-graduate level in institute

V

and graduate level in institute T ?

8 : 9
4:5
6:7
3:4

Validate

Solution:

Concept:

Convert the given pie-chart percentages into actual numbers for both levels and then simplify the ratio to match the nearest option.

Explanation:

Post-graduate students in institute

V = 20\%

18600

Graduate students in institute

T = 18\%

25400

Required ratio is:

\frac{18600 \times \frac{20}{100}}{25400 \times \frac{18}{100}} = \frac{186 \times 20}{254 \times 18} = \frac{3720}{4572} = \frac{310}{381}.

Now,

\frac{310}{381} \approx 0.814

Among the options,

\frac{4}{5} = 0.8

, which is the closest value.

Answer:

Option B:

4:5

Go to Question:

Prev Question

Next Question