Line Graph: Exercise-2


Overview:


Questions and Answers Type:MCQ (Multiple Choice Questions).
Main Topic:Data Interpretation.
Data Interpretation Sub-topic:Line Graph Questions and Answers.
Number of Questions:5 Questions with Solutions.

Directions: Study the following graph carefully and answer the questions given below it.


Number of tourists visiting a country from city A and city B during six different months.


image
  1. What is the difference between average number of tourists from city A and city B during all the months together?

    1. 30
    2. 38
    3. 40
    4. 42


Answer: (d) 42

Solution: Average number of tourists in city A, $$ = \frac{300 + 400 + 450 + 500 + 500 + 400}{6} $$ $$ = \frac{2550}{6} = 425 $$ average number of tourists in city B, $$ = \frac{250 + 500 + 500 + 600 + 450 + 500}{6} $$ $$ = \frac{2800}{6} $$ $$ = 466.67 \approx 467 $$ Hence, the required difference, $$ = 467 - 425 = 42 $$

  1. What is the respective ratio between the total number of tourists from city A and B during January, Fabruary and March taken together?

    1. 24:25
    2. 23:24
    3. 23:25
    4. 24:22


Answer: (c) 23:25

Solution: Tourists from city A during January, Fabruary and March taken together, $$ = 300 + 400 + 450 $$ $$ = 1150 $$ Tourists from city B during January, Fabruary and March taken together, $$ = 250 + 500 + 500 $$ $$ = 1250 $$ Hence, required ratio, $$ = 1150 : 1250 $$ $$ = 23 : 25 $$

  1. By what percent is the number of tourists from city A less than that from city B in the month of April?

    1. 10%
    2. 20%
    3. 30%
    4. 40%


Answer: (b) 20%

Solution: Required percent, $$ = \frac{600 - 500}{500} \times 100 $$ $$ = 20 \ \% $$

  1. By what percent the number of tourists from city B increased in April than that from the month January?

    1. 140%
    2. 120%
    3. 100%
    4. 75%


Answer: (a) 140%

Solution: Required percent, $$ = \frac{600 - 250}{250} \times 100 $$ $$ = 140 \ \% $$

  1. By what percent approximately is the total number of tourists from city A less than that of all the tourists from city B taking all the months together?

    1. 5%
    2. 7%
    3. 8%
    4. 9%


Answer: (d) 9%

Solution: total tourists from city A = 2550

total tourists from city B = 2800

Required percent, $$ = \frac{2800 - 2550}{2800} \times 100 $$ $$ = 8.92 \ \% \approx 9 \ \% $$