Data Interpretation Ques 284
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 $=40: 45=8: 9$
BETA
