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.


image

  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 %


Answer: (a) 83.34 %

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


Answer: (c) 20:17

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


Answer: (c) 5:4

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 %


Answer: (b) 26 %

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


Answer: (c) 180

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 = \(840 - 660\) = \(180s\)