Data Interpretation Ques 280

Question-

Directions : Based on the following table answer the given questions.

Universities Total Number
of faculty
members		 Percentage of
Assistant
professors		 Number of
Associate
professors
$J$ 250 60 75
$K$ 180 75 24
$L$ 150 80 16
$M$ 100 63 21
Note : The faculty members include Assistant Professors, Associate Professors and Professors only.

In university $M, \frac{8}{21}$ of the Assistant Professors are males and in university $L, \frac{3}{5}$ of the Assistant Professors are males. What is the respective ratio between male assistant Professors in university $M$ and that in university L?

(1) $2: 5$

(2) $1: 3$

(3) $3: 5$

(4) $2: 7$

(5) $2: 3$

Show Answer

Correct Answer: (2)

Solution: (2)

Male assistant professors in university M

$\Rightarrow \frac{8}{21} \times 63=24$

Male assistant professors in university L

$\Rightarrow \frac{3}{5} \times\left(\frac{150 \times 80}{100}\right)$ $=\frac{3}{5} \times 120=72$

Required ratio $=24: 72=1: 3$

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