# Bar Diagrams: Exercise-7

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Data Interpretation. Data Interpretation Sub-topic: Bar Graph Questions and Answers. Number of Questions: 5 Questions with Solutions.

Directions: Study the following bar diagram carefully and answer the questions given below it.

The total number of students from different schools appeared and qualified for a competitive exam.

1. Find the average number of students qualified in the examination from schools P and Q is what percentage of the average number of students appeared for the examination from the same schools?

1. 83.34 %
2. 85.23 %
3. 88.20 %
4. 89.15 %

Solution: The average number of students qualified from schools P and Q. $$= \frac{1}{2} \ (600 + 650)$$ $$= \frac{1}{2} \ (1250)$$ $$= 625$$ The Average number of students appeared from schools P and Q. $$= \frac{1}{2} \ (700 + 800)$$ $$= \frac{1}{2} \ (1500)$$ $$= 750$$ Required percentage $$= \left[\frac{625}{750} \times 100\right] \ \%$$ $$= 83.34 \ \%$$

1. Find out the ratio of the number of students who appeared to the number of students qualified in the exam from school S?

1. 15:11
2. 13:9
3. 20:17
4. 22:19

Solution: Required ratio $$= \frac{1000}{850}$$ $$= \frac{20}{17}$$ $$= 20:17$$

1. Find out the ratio of the number of students who appeared in the exam from school S to the number of students who appeared in the exam from school T?

1. 2:3
2. 4:3
3. 5:4
4. 6:5

Solution: Required ratio $$= \frac{1000}{800}$$ $$= \frac{10}{8}$$ $$= \frac{5}{4} = 5:4$$

1. Find the number of students qualified for the exam, from the school S is approximately what percent of the total number of students qualified for the exam from all the schools together?

1. 20 %
2. 26 %
3. 29 %
4. 32 %

Solution: Number of students qualified for the exam from the school S = 850

Number of students qualified for the exam from all the schools together = $$600 + 650 + 700 + 850 + 500$$ = $$3300$$

Required percentage $$= \left[\frac{850}{3300} \times 100\right] \ \%$$ $$= 25.76 \ \%$$ $$\approx 26 \ \%$$

1. Find the difference between the average number of students who appeared and qualified from all the schools together in the exam?

1. 210
2. 200
3. 180
4. 175

Solution: The average number of students appeared for the exam from all the schools together.

= $$\frac{1}{5} \ (700 + 800 + 900 + 1000 + 800)$$

= $$\frac{1}{5} \times 4200$$

= 840

The average number of students qualified for the exam from all the schools together.

= $$\frac{1}{5} \ (600 + 650 + 700 + 850 + 500)$$

= $$\frac{1}{5} \times 3300$$

= 660

Requaired difference = $$840 - 660$$ = $$180s$$