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.**

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

- Which one of the following cars traveled at the same speed on both days?
- A
- B
- E
- 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.

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.

- Find the speed of car A on day 1 in meter per second?
- 22.23 m/s
- 24.14 m/s
- 20.28 m/s
- 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.$$ = \left[80 \times \frac{5}{18}\right] \ m/s $$ $$ = 22.23 \ m/s $$

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.$$ = \left[80 \times \frac{5}{18}\right] \ m/s $$ $$ = 22.23 \ m/s $$

- Find the difference between the speed of car E on day 1 and the speed of car B on day 2 km/hr?
- 18.22 Km/hr
- 20.25 Km/hr
- 21.44 Km/hr
- 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 $$ = 102 - 80.56 $$ $$ = 21.44 \ km/hr $$

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 $$ = 102 - 80.56 $$ $$ = 21.44 \ km/hr $$

- The distance travelled by car D on day 2 was approximately what percent of the distance travelled by car D on day 1?
- 50 %
- 69 %
- 74 %
- 77 %

Answer: (b) 69 %

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

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

- Find the ratio of speeds of car A on day 1 to car C on day 2?
- 3:4
- 5:6
- 7:8
- 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 $$ = \frac{80}{90} $$ $$ = 8:9 $$

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 $$ = \frac{80}{90} $$ $$ = 8:9 $$