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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