Directions (1-5): Study the following information carefully and answer the given questions.

The following pie chart1 shows the percentage distribution of total number of students enrolled for MBA from various institutions and the pie chart2 shows the percentage distribution of total number of students successfully completed the course.

Total students enrolled = 40000

1) Find the difference between the total number of students enrolled for MBA course from institute A and C together to that of total number of students successfully completed the course from institute B and D together?

A.80

B.150

C.230

D.320

E.None of these

2) Which institute has highest percentage of successful candidates out of the total number of enrolled candidates?

A.Institute D

B.Institute A

C.Institute B

D.Institute C

E.None of these

3) Find the ratio between the total number of candidates not completed the course from institute D to that of institute F?

A.11 : 9

B.17 : 13

C.8 : 7

D.9 : 5

E.None of these

4) Total number of candidates enrolled for MBA course from institute B and E together is approximately what percentage of total number of candidates successfully completed the course from institute A and C together?

A.160 %

B.145 %

C.120 %

D.105 %

E.80 %

5) Find the difference between the average number of students enrolled for institute C, D and F together to that of the average number of students successfully completed the course from institute C, D and E together?

A.1020

B.840

C.780

D.960

E.None of these

Answers :

1) Answer: A

The total number of students enrolled for MBA course from institute A and C together

= > 40000*(27/100) = 10800

The total number of students successfully completed the course from institute B and D together

= > 32000*(34/100) = 10880

Required difference = 10880 – 10800 = 80

2) Answer: D

Institute A = > Successful % = (4160/4800)*100 = 86.667 %

Institute B = > Successful % = (6400/7200)*100 = 88.889 %

Institute C = > Successful % = (5760/6000)*100 = 96 %

Institute D = > Successful % = (4480/6400)*100 = 70 %

Institute E = > Successful % = (6080/8800)*100 = 69.09 %

Institute F = > Successful % = (5120/6800)*100 = 75.29 %

Institute C has highest percentage of successful candidates.

3) Answer: C

The total number of candidates not completed the course from institute D

= > [40000*(16/100)] – [32000*(14/100)]

= > 6400 – 4480 = 1920

The total number of candidates not completed the course from institute F

= > [40000*(17/100)] – [32000*(16/100)]

= > 6800 – 5120 = 1680

Required ratio = 1920 : 1680 = 8 : 7

4) Answer: A

Total number of candidates enrolled for MBA course from institute B and E together

= > 40000*(40/100) = 16000

Total number of candidates successfully completed the course from institute A and C together

= > 32000*(31/100) = 9920

Required % = (16000/9920)*100 = 161.29 % = 160 %

5) Answer: D

The average number of students enrolled for institute C, D and F together

= > 40000*[(15 + 16 + 17)/100]*(1/3) = 6400

The average number of students successfully completed the course from institute C, D and E together

= > 32000*[(18 + 14 + 19)/100]*(1/3) = 5440

Required difference = 6400 – 5440 = 960