Data Interpretation - Pie Charts

Study the following graph carefully and answer the questions given below:

Distribution of candidates who were enrolled for MBA entrance exam and the candidates (out of those enrolled) who passed the exam in different institutes:

1. 

What percentage of candidates passed the Exam from institute T out of the total number of candidates enrolled from the same institute?

A. 50%
B. 62.5%
C. 75%
D. 80%

Answer: Option C

Explanation:

Required percentage = ( 9% of 5700 x 100 ) % = ( 9 x 5700 x 100 ) % = 75%.
8% of 8550 8% of 8550


2. 

Which institute has the highest percentage of candidates passed to the candidates enrolled?

A. Q
B. R
C. V
D. T

Answer: Option B

Explanation:

The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

(i) P = [ ( 18% of 5700 ) x 100 ] % = [ 18 x 5700 x 100 ] % = 54.55%.
22% of 8550 22 x 8550

(ii) Q = [ ( 17% of 5700 ) x 100 ] % = 75.56%.
15% of 8550

(iii) R = [ ( 13% of 5700 ) x 100 ] % = 86.67%.
10% of 8550

(iv) S = [ ( 16% of 5700 ) x 100 ] % = 62.75%.
17% of 8550

(v) T = [ ( 9% of 5700 ) x 100 ] % = 75%.
8% of 8550

(vi) V = [ ( 15% of 5700 ) x 100 ] % = 83.33%.
12% of 8550

(vii) X = [ ( 12% of 5700 ) x 100 ] % = 50%.
16% of 8550

Highest of these is 86.67% corresponding to institute R.


3. 

The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:

A. 228
B. 279
C. 399
D. 407

Answer: Option C

Explanation:

Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550]
= [(34% of 5700) - (18% of 8550)]
= (1938 - 1539)
= 399.


4. 

What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together?

A. 68%
B. 80%
C. 74%
D. 65%

Answer: Option B

Explanation:

Candidates passed from institutes Q and R together = [(13% + 17%) of 5700]
= 30% of 5700.
Candidates enrolled from institutes Q and R together = [(15% + 10%) of 8550]
= 25% of 8550.

Therefore Required Percentage
= ( 30% of 5700 x 100 ) %
25% of 8550
= ( 30 x 5700 x 100 ) %
25 x 8550
= 80%.


5. 

What is the ratio of candidates passed to the candidates enrolled from institute P?

A. 9 : 11
B. 14 : 17
C. 6 : 11
D. 9 : 17

Answer: Option C

Explanation:

Required ratio = ( 18% of 5700 ) = ( 18 x 5700 ) = 6 .
22% of 8550 22 x 8550 11