Answer: Option A
Number of lecturers in various subjects are:
$$\eqalign{
& \text{Chemistry → } \frac{13}{100}\times1600 = 208 \cr
& \text{Education → } \frac{18}{100}\times1600 = 288 \cr
& \text{Hindi → } \frac{12}{100}\times1600 = 192 \cr
& \text{Mathematics → } \frac{21}{100}\times1600 = 336 \cr
& \text{Physics → } \frac{14}{100}\times1600 = 224 \cr
& \text{Zoology → } \frac{22}{100}\times1600 = 352 \cr} $$
Subject
Number of Males
Number of Females
Chemistry
208 × $$\frac{1}{8}$$ = 26
208 - 26 = 182
Education
288 × $$\frac{5}{8}$$ = 180
288 - 180 = 108
Hindi
192 × $$\frac{1}{4}$$ = 48
192 - 48 = 144
Mathematics
336 × $$\frac{3}{7}$$ = 144
336 - 144 = 192
Physics
224 × $$\frac{9}{14}$$ = 144
224 - 144 = 80
Zoology
352 × $$\frac{7}{16}$$ = 154
352 - 154 = 198
Required ratio
= 80 : 144
= 5 : 9