Data Interpretation Ques 284

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 $L$, $\frac{5}{12}$ of the Assistant Professors are males and in university $M$, $\frac{5}{11}$ of the Assistant professors are males. What is the respective ratio between male Assistant Professors in university $L$ and that in university $M$ ?

(1) $4: 9$

(2) $8: 9$

(3) $5: 7$

(4) $5: 9$

(5) $3: 5$

Show Answer

Correct Answer: (2)

Solution: (2)

Number of assistant professors in university $L=\frac{160 \times 60}{100}=96$

Male assistant professors $\Rightarrow \frac{5}{12} \times 96=40$

Number of assistant professors in university $M=\frac{180 \times 55}{100}$ $=99$

Male assistant professors $=\frac{5}{11} \times 99=45$

Required ratio $=40: 45=8: 9$



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