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.**

- What is the total number of students studying MBA in all colleges together?
- 1800
- 2100
- 2300
- 2500

Answer: (c) 2300

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

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

- 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?
- 20:13
- 22:15
- 24:17
- 21:19

Answer: (a) 20:13

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, $$ = 1000 : 650 $$ $$ = 20 : 13 $$

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, $$ = 1000 : 650 $$ $$ = 20 : 13 $$

- What is the respective ratio of total number of students studying B.Tech. in the college R and S?
- 5:7
- 9:11
- 12:5
- 15:7

Answer: (c) 12:5

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

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

- 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?
- 16%
- 20%
- 26%
- 28%

Answer: (c) 26%

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, $$ = \frac{600}{2300} \times 100 $$ $$ = 26.08 \ \% \approx 26 \ \% $$

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, $$ = \frac{600}{2300} \times 100 $$ $$ = 26.08 \ \% \approx 26 \ \% $$

- 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?
- 21%
- 23%
- 25%
- 27%

Answer: (b) 23%

Solution: Number of students studying MBA in college Q = 300

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

Solution: Number of students studying MBA in college Q = 300

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