Data Interpretation

Pie Chart 3

Data Interpretation Exercise Mode

Pie Chart 3

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Directions to Solve

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:


Question 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%
Correct Answer: Option C
Required percentage

=(9% of 5700x 100)% =   




8% of 8550




=(9 x 5700x 100)% = 75%.

8% of 8550

Question 2
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
Correct Answer: Option C
Required ratio = 


(		18% of 5700)=(18 x 5700)=6.
22% of 855022 x 855011


Question 3
Which institute has the highest percentage of candidates passed to the candidates enrolled ?

A
Q
B
R
C
V
D
T
Correct Answer: Option B

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

(i) P =[(18% of 5700)x 100]% =


 
22% of 8550



[
18  x 5700
x 100]%= 54.55%.
22 x 8550

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

Question 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%
Correct Answer: Option B
Candidates passed from institutes Q and R together
= [(13% + 17%) of 5700]
= 30% of 5700.
Candidates enrolled from institute Q and R together
= [(15% + 10%) of 8550]
= 25% of 8550.

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

=(30 x 5700x 100)%
25 x 8550

= 80%.


Question 5
The number of candidates passed from institute S and P together exceeds the number of candidates enrolled from institute T and R together by :

A
228
B
279
C
399
D
407
Correct Answer: Option C

Required difference :

= [(16% + 18%) of 5700] - [(8% + 10%) of 8550

= [(34% of 5700) - (18% of 8550)]

= (1938 - 1539)

= 399