Introduction to Graphs MCQs

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Graphs are the visual representation of data that are used to understand the numerical facts quickly, easily, and clearly. There are different types of graphs used to represent different types of data. Bar Graph is used to show the comparison among different categories. It is represented in the form of two or more vertical or horizontal bars. A histogram is a type of bar graph that shows data in intervals.Then there are pie-graphs, which also show the comparison among categories but are represented through a circle. The line graphs consist of bits of line segments joined consecutively into a whole unbroken line, which is called a linear graph.

Ques. The below-mentioned graphs show the expenditure of a small business. Observe the graph and answer the following questions.

below-mentioned graphs show the expenditure of a small business

(i) What is the maximum expenditure of the business?

  1. Traveling Allowance
  2. Rent
  3. Appliances
  4. Salary of Employees

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Ans. 4. Salary of Employees

Explanation: The business spends the most on the salary of the employee and the least on travel allowance and rent.

(ii) Which of the heads have the same amount of expenditure?

  1. Traveling Allowance and Rent
  2. Appliances
  3. Salary of Employees
  4. Others

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Ans. 1. Traveling Allowance and Rent

Explanation: The travel allowance and the rent has the same amount of expenditure, i.e, 1,00,000.

(iii) What is the sum of expenditure on traveling allowance and rent?

  1. 1,00,000
  2. 2,00,000
  3. 3,00,000
  4. 4,00,000

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Ans. 2. 2,00,000

Explanation: Expenditure in traveling allowance = Rs.1,00,000

Expenditure in rent = Rs.1,00,000

So, the sum of the both heads = 1,00,000 + 1,00,000 = Rs. 2,00,000

The sum of expenditure on traveling allowance and rent is Rs. 2,00,000

Ques. Observe the circle graph shown below and answer the following questions:

Observe the circle graph shown below and answer the following questions

(i) If the budget of the family is Rs.10,800, then how much will be the savings?

  1. Rs. 1,050
  2. Rs. 1,000
  3. Rs. 950
  4. Rs. 1,200

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Ans. 1. Rs. 1,050

Explanation:Saving is shown as 35° in the pie chart. 

                     The whole pie is of 360°

So, Saving = \({35 \over 360} \times 10,800\) = Rs.1,050

The savings of the family is Rs.1,050.

(ii) If the budget of the family is 10,800, then what is the difference between the expenditure on clothes and education?

  1. Rs. 1,200
  2. Rs. 1,000
  3. Rs. 800
  4. Rs. 1,500

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Ans. 1. Rs. 1,200

Explanation:  Expenditure on clothes shown on pie chart = 70°

Expenditure on education shown on pie chart = 30°

So, the difference of both = 70 - 30 = 40°

Difference amount = \({40 \over 360} \times 10,800\) = 1,200

The difference between the expenditure on clothes and food is Rs. 1,200.

(iii) If the budget of the family is Rs. 10,800, then what will be the sum of expenditure on education and food?

  1. Rs. 5,000
  2. Rs. 8,000
  3. Rs. 5,400
  4. Rs. 6,000

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Ans. 3. Rs. 5,400

Explanation: Expenditure on education shown in the pie chart = 30°

Expenditure on food shown in the pie chart = 150°

So, the sum will be = 150° + 30° = 180°

Sum amount = \({180 \over 360} \times 10,800\) = 5,400

The sum of expenditure on education and food is Rs. 5,400.

Ques. Observe the histogram and answer the questions:

Observe the histogram and answer the questions

(i) What is the difference between the number of students of class intervals 0-5 and 5-10?

  1. 100
  2. 200
  3. 300
  4. 400

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Ans. 1. 100

Explanation:  The number of students of class interval (0-5) = 100

The number of students of class interval (5-10) = 200

So, the difference = 200 - 100 = 100

The difference between the number of students of class interval (0-5) and (5-10) is 100 students.

(ii) What is the sum of the number of students in the class intervals 20-25 and 10-15?

  1. 800
  2. 900
  3. 600
  4. 400

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Ans. 1. 800

Explanation: The number of students of class interval (20-25) = 500

The number of students of class interval (10-15) = 300

So, the sum = 500 + 300 = 800

The sum of students in the class intervals 20-25 and 10-25 is 800 students.

Ques. Observe the temperature-time graph and answer the following questions.

Observe the temperature-time graph and answer the following questions

(i) What is the rise in temperature from 11 hours to 13 hours?

  1. 1oF
  2. 2oF
  3. 3oF
  4. 4oF

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Ans. 1. 1oF

Explanation: The temperature at 11hrs = 103oF

The temperature at 13hrs = 104oF

So the difference = 104o- 103oF= 1oF

The difference in temperature from 11hrs to 13hrs is 1oF.

(ii) What is the fall in temperature from 13 hours to 21 hours?

  1. 2oF
  2. 3oF
  3. 4oF
  4. 6oF

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Ans. 4. 6oF

Explanation: The temperature at 13hrs = 104oF

The temperature at 21hrs = 98oF

Fall in temperature = 104oF- 98oF= 6oF

The fall in temperature from 13hrs to 21hrs is  6oF

Ques. What are the coordinates for the origin?

  1. (0,0)
  2. (0,1)
  3. (1,0)
  4. (1,1)

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Ans. 1. The origin refers to the point 0, so the coordinates will be (0,0).

Explanation: The coordinates of the origin are (0,0) can be seen in the graph. It clearly shows that the point of origin is 0 for the x and y-axis.

Ques. What will be the coordinates of the point whose y-coordinate is 4 and x-coordinate is 3?

  1. (5,3)
  2. (3,5)
  3. (0,3)
  4. (0,5)

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Answer. 2. The coordinate point will be (3,5).

Explanation: The coordinates are always written in the format (x,y) So as the x-coordinate is 3 and the y-coordinate is 4, the coordinate point will be (3,5).

Ques. Are coordinates (4,5) and (5,4) the same?

  1. Yes
  2. No
  3. Sometimes
  4. Both (1) and (3)

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Ans. 2. The coordinates (4,5) and (5,4) are not the same.

Explanation: The coordinates are always written in the format (x,y). So for the coordinate (4,5), 4 is the x-coordinate and 5 is the y-coordinate, and for the coordinate (5,4), 5 is the x-coordinate and 4 is the y-coordinate. This can be clearly seen in the graph that the two coordinates have different positions.

Ques. Which of the graphs shows data in intervals?

  1. Line Graph
  2. Linear Graph
  3. Histogram
  4. Bar Graph

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Ans. Histogram

Ques. Which of the graphs displays continuously changing data over a period of time?

  1. Line Graph
  2. Linear Graph
  3. Histogram
  4. Bar Graph

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Ans. 1. Line graph

Ques. The line graph consisting of an unbroken line known as?

  1. Line Graph
  2. Linear Graph
  3. Histogram
  4. Bar Graph

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Ans. 2. Linear Graph

Ques. The below-mentioned graph shows the distance covered by Hari at different times. What was the average distance covered by Hari at 8 am, 9 am, and 10 am?

  1. 200/3
  2. 300
  3. 1441/3
  4. 400/ 3

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Ans. 2. 300

Explanation: The distance covered at 8 am = 50km

The distance covered at 9 am = 150km

The distance covered at 10 am = 200km

So,  Average distance = (50+150+200)3 = 4003= 300km

The average distance covered is 300km.

Ques. What will we get if we join (-3,2), (-3,-3), and (-3,4)?

  1. A triangle
  2. A straight passing through the origin
  3. A straight line without passing the origin
  4. None of the above

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Answer: 3. Straight line without passing through the origin

Explanation: It can be clearly seen in the graph that the 3 coordinates will create a straight line without origin.

Ques. Where will the point (4,0) lie?

  1. X-axis
  2. Y-axis
  3. Origin
  4. None of the above

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Ans. 1. The point (4,0) will lie on the x-axis.

Explanation: Since the y-coordinate is 0 so we can’t move in the upward direction. So the point (4,0) will lie in point 4 of the x-coordinate.

Ques. Where does the point (0,0) lie?

  1. X-axis
  2. Y-axis
  3. Origin
  4. None of the above

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Ans. The point (0,0) lies in the origin.

Explanation: The origin is defined as the point (0,0). It is the point at which the x- and y-axes meet.

The origin is defined as the point (0,0). It is the point at which the x- and y-axes meet.

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