Data Interpretation Ques 280
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: 280.(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
$=24: 72=1: 3$