Bar Diagrams: Exercise-10


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.


Distance covered (in Km) by six cars on two different days.


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Time, taken (in hours) by six cars to cover a certain distance on two different days.


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  1. Which one of the following cars traveled at the same speed on both days?

    1. A
    2. B
    3. E
    4. None


Answer: (d) None

Solution: The speed of cars, on day 1. $$ A = \frac{640}{8} $$ $$ = 80 \ Km/hr $$ $$ B = \frac{830}{10} $$ $$ = 83 \ Km/hr $$ $$ C = \frac{590}{6} $$ $$ = 98.34 \ Km/hr $$ $$ D = \frac{940}{9} $$ $$ = 104.45 \ Km/hr $$ $$ E = \frac{510}{5} $$ $$ = 102 \ Km/hr $$ $$ F = \frac{825}{7} $$ $$ = 117.86 \ Km/hr $$ The speed of cars, on day 2. $$ A = \frac{780}{9} $$ $$ = 86.67 \ Km/hr $$ $$ B = \frac{725}{9} $$ $$ = 80.56 \ Km/hr $$ $$ C = \frac{630}{7} $$ $$ = 90 \ Km/hr $$ $$ D = \frac{650}{6} $$ $$ = 108.34 \ Km/hr $$ $$ E = \frac{620}{6} $$ $$ = 103.34 \ Km/hr $$ $$ F = \frac{790}{6} $$ $$ = 131.67 \ Km/hr $$ Hence none of the cars traveled at the same speed on both days.

  1. Find the speed of car A on day 1 in meter per second?

    1. 22.23 m/s
    2. 24.14 m/s
    3. 20.28 m/s
    4. 18.33 m/s


Answer: (a) 22.23 m/s

Solution: The speed of car A on day 1 in km/hr.$$ A = \frac{640}{8} $$ $$ = 80 \ Km/hr $$ The speed of car A on day 1 in m/s.$$ = \left[80 \times \frac{5}{18}\right] \ m/s $$ $$ = 22.23 \ m/s $$

  1. Find the difference between the speed of car E on day 1 and the speed of car B on day 2 km/hr?

    1. 18.22 Km/hr
    2. 20.25 Km/hr
    3. 21.44 Km/hr
    4. 22.33 Km/hr


Answer: (c) 21.44 Km/hr

Solution: The speed of car E, on day 1. $$ = \frac{510}{5} = 102 \ km/hr $$ The speed of car B, on day 2. $$ = \frac{725}{9} = 80.56 \ km/hr $$ Required difference $$ = 102 - 80.56 $$ $$ = 21.44 \ km/hr $$

  1. The distance travelled by car D on day 2 was approximately what percent of the distance travelled by car D on day 1?

    1. 50 %
    2. 69 %
    3. 74 %
    4. 77 %


Answer: (b) 69 %

Solution: Required percentage $$ = \left[\frac{650}{940} \times 100\right] \ \% $$ $$ = 69.15 \ \% $$ $$ \approx 69 \ \% $$

  1. Find the ratio of speeds of car A on day 1 to car C on day 2?

    1. 3:4
    2. 5:6
    3. 7:8
    4. 8:9


Answer: (d) 8:9

Solution: The speed of car A, on day 1. $$ = \frac{640}{8} $$ $$ = 80 \ Km/hr $$ The speed of car C, on day 2. $$ = \frac{630}{7} $$ $$ = 90 \ Km/hr $$ Required ratio $$ = \frac{80}{90} $$ $$ = 8:9 $$