Directions: Study the following information carefully and answer the questions given beside:
 
The charts show the number of students who applied for different courses and qualified in that courses.
 
Total number of students who applied = 21000



Total number of students who qualified = 15000

1
The number of students who qualified in M.tech is approximately how much % of the number of students who applied for M.tech?
» Explain it
B
The number of students who applied for M.tech = 21000 × 15%
 
The number of students who qualified in M.tech = 15000 × 14%
 
Reqd% =  15000 × 14%  × 100
21000 × 15%
 
= 66.67% ≈ 67%

Hence, option B is correct.
2
If the number of female students who applied for M.com is 50% more than the number of male students who applied for M.com, find the numbers of male students who applied for M.com.
» Explain it
D
Let,
 
The number of male students who applied for M.com = x
 
The number of female students who applied for M.com = x × 150%
 
Ratio = x : x × 150% = 2 : 3
 
The numbers of male students who applied for M.com

= 21000 × 30% ×  2  = 2520
5

Hence, option D is correct.
3
Find the difference between the number of students who applied for M.Sc and MBA and the number of students who qualified in the same course.
» Explain it
E
The number of students who applied for M.Sc and MBA together = 21000 × (21 + 16)% = 7770
 
The number of students who qualified in M.Sc and MBA together = 15000 × (16 + 20)% = 5400
 
Difference = 7770 – 5400 = 2370
 
Hence, option E is correct.
4
What is the ratio between the number of students who applied for MCA and the number of students who qualified in the same course?
» Explain it
A
Ratio = 21000 × 18% : 15000 × 15%
 
= 21 × 18 : 15 × 15  = 7 × 6 : 5 × 5  = 42 : 25
 
Hence, option A is correct.
5
What is the average of the number of students who qualified in M.tech, M.Sc and  MCA course?
» Explain it
C
The total number of students who qualified in M.tech, M.Sc and MCA = 15000 × (16 + 14 + 15)%
 
= 15000 × 45% = 6750
 
Average = 2250
 
Hence, option C is correct.