Data Interpretation MCQ Questions and Answers

Directions (1 - 5): Study the following graph carefully and answer the questions given below:
Total Number of Students Appeared and Qualified from Various Schools at a Scholarship Exam.
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What is the ratio of the number of students appeared to the number of students qualified at the scholarship exam from School C?

A) 7 : 12 B) 6 : 5 C) 9 : 13 D) 9 : 10 E) None of these

Discuss

Answer & Solution

(Number of students appeared from C) : (Number of students qualified from C)
$$\eqalign{ & = \frac{3250}{2250} \cr & = \frac{13}{9} \cr & = 13:9 \cr} $$

What is the difference between the average number of students appeared in the scholarship exam from all the given schools and the average number of students qualified from all the school together?

A) 950 B) 1100 C) 990 D) 1020 E) None of these

Discuss

Answer & Solution

Average number of students appeared from all the schools
= $$\frac{1}{5}$$(3000 + 2250 + 3250 + 2500 + 3000)
= $$\frac{14000}{5}$$
= 2800
Average number of students qualified from all the schools
= $$\frac{1}{5}$$(1750 + 1250 + 2250 + 2000 + 2000)
= $$\frac{9250}{5}$$
= 1850
∴ Required difference
= 2800 - 1850
= 950

What is the ratio of the number of students qualified in the scholarship examination from School A and the number of students qualified in the examination from School B?

A) 8 : 3 B) 5 : 7 C) 7 : 3 D) 7 : 5 E) None of these

Discuss

Answer & Solution

(Number of students qualified from A) : (Number of students qualified from B)
$$\eqalign{ & = \frac{1750}{1250} \cr & = \frac{7}{5} \cr & = 7:5 \cr} $$

The average number of students qualified in the examination from Schools C and D is what percent of the average number of students appeared for the examination from the same school? ( round off to 2 digits after decimal).

A) 58.62% B) 73.91% C) 62.58% D) 58.96% E) None of these

Discuss

Answer & Solution

Average number of students qualified from C and D
$$\eqalign{ & = \frac{1}{2}\left(2250+2000\right) \cr & = \frac{4250}{2} \cr & = 2125 \cr} $$
Average number of students appeared from C and D
$$\eqalign{ & = \frac{1}{2}\left(3250+2500\right) \cr & = \frac{5750}{2} \cr & = 2875 \cr & \therefore \text{ Required %} \cr & = \left(\frac{2125}{2875}\times100\right)\% \cr & = \left(\frac{85}{115}\times100\right)\% \cr & = \frac{1700}{23}\% \cr & = 73.91\% \cr} $$

The number of students appeared for the scholarship exam from School D is approximately what percent of the total number of students appeared for the exam from all the school together?

A) 12% B) 24% C) 29% D) 18% E) 8%

Discuss

Answer & Solution

Required %
$$= \left(\frac{2500}{3000+2250+3250+2500+3000}\times100\right)\%$$
$$\eqalign{ & = \left(\frac{2500}{14000}\times100\right)\% \cr & = \frac{125}{7}\% \cr & \approx 18\% \cr} $$

Data Interpretation MCQ Questions and Answers - Bar Chart