Question
Directions (1 - 5): Study the following pie-chart and the table given below it carefully to answer the questions given below:
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?
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?
Answer: Option C
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
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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
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