# Bar Diagrams: Exercise-4

#### 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 Number of students enrolled in three different disciplines in five different colleges.

1. What is the total number of students studying MBA in all colleges together?

1. 1800
2. 2100
3. 2300
4. 2500

Solution: total number of students studying MBA in all colleges together, $$= 350 + 300 + 500 + 600 + 550$$ $$= 2300$$

1. What is the respective ratio of total number of students studying MCA in the colleges R and S together to those studying MBA in the colleges P and Q together?

1. 20:13
2. 22:15
3. 24:17
4. 21:19

Solution: Total number of students studying MCA in the colleges R and S together, $$= 550 + 450$$ $$= 1000$$ total number of students studying MBA in the colleges P and Q together, $$= 350 + 300$$ $$= 650$$ Required ratio, $$= 1000 : 650$$ $$= 20 : 13$$

1. What is the respective ratio of total number of students studying B.Tech. in the college R and S?

1. 5:7
2. 9:11
3. 12:5
4. 15:7

Solution: Required ratio, $$= 600 : 250$$ $$= 12 : 5$$

1. Number of students studying B.Tech. in college R forms approximately what percent of the total number of students studying MBA in all colleges together?

1. 16%
2. 20%
3. 26%
4. 28%

Solution: Number of students studying B.Tech in college R = 600
Total number of students studying MBA in all the colleges together = 2300
Hence, Required percentage, $$= \frac{600}{2300} \times 100$$ $$= 26.08 \ \% \approx 26 \ \%$$

1. Number of students studying MBA in college Q forms approximately what percent of total number of students studying all the disciplines together in that college?

1. 21%
2. 23%
3. 25%
4. 27%

total number of students studying all the disciplines together in the college Q, $$= 300 + 450 + 550$$ $$= 1300$$ Hence, Required percentage $$= \frac{300}{1300} \times 100$$ $$= 23.07 \ \% \approx 23 \ \%$$