What is the difference between the total number of lecturers (both male and female) is Zoology and the total number of male lecturers in Chemistry and Education Together?

A. 192

B. 182

C. 146

D. 136

E. None of these

Answer: Option C

Solution(By Examveda Team)

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 difference
= 352 - (26 + 180)
= 352 - 206
= 146