Directions: Study the following pie-charts carefully and answer the questions below them.

1st Pie Chart shows: % of Professor and Assistant Professor together teaching six different subjects in University 'X'

2nd Pie Chart shows:
% of Professor teaching six different subjects in University 'X'

Char I

Total number = 150

Chart II

Total number = 50

Important for :
1
If the ratio of the total number of male Professors to the total number of female Professors is 9 : 16 and the ratio of the total number of male Assistant Professors to the total number of female Assistant Professors is 9 : 11, what is the total number of female Professors and Assistant Professor teaching the given six subjects in University ‘X’?
» Explain it
E
Total no. of Assistant Professors = 150 – 50 = 100

 Now, female Professors = 50 × 16 = 32 25

 Female Assistant Professors = 11 × 100 = 55 20

Total no. of female Professors and Assistant Professors = 32 + 55 = 87

Hence, option E is correct

2
What is the central angle corresponding to the total number of Professors and Assistant Professors teaching Hindi?
» Explain it
C
 Reqd central angle = 12 × 360 = 12 × 3.6 = 43.2° 100

Hence, option C is correct.

3
What percent Professors are teaching Psychology and Sociology together out of the total number Professors and Assistant Professors teaching these two subjects together?
» Explain it
A
Total no. of Professors and Assistant Professor teaching Psychology and Sociology together = (18 + 14)% = 32% of 150

 Now, 32% of 150 = 32 × 150 = 48 100

Total no. of Professors teaching Psychology and Sociology together = (16 + 12)% = 28% of 50 = 14.

Reqd. %

 = 14 × 100 = 7 × 25 = 175 = 29 1 % 48 6 6 6

Hence, option A is correct.

4
The total number of Assistant Professors teaching Economics and English together is what percent more than the total number of Professors teaching these two subjects together?
» Explain it
E
Total no. of Professor teaching Economics and English together

 = (20 + 10)% = 30% of 50 = 30 × 50 = 15 100

Totan no. of Assistant Professors teaching Economics and English together

= (24 + 10) = 34% of 150 – 15

 = 34 × 150 – 15 = 51 – 15 = 36 100

Reqd% more

 = 36 – 15 × 100 = 21 × 100 15 15

= 140% more

Hence, option E is correct.

5
What is the average number of Professors teaching Computer science, Psychology, English and Sociology?
» Explain it
A
 Reqd average = (24 + 12 + 20 + 16)% of 50 4

 = 72% of 50 = 72 × 50 = 9 4 100 × 4

Hence, option A is correct.

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