Class 8th Mathematics MCQ

Chapter 5: Data Handling Part 2

Q61. Check the given table, and give the correct answers to the following questions.

Range of Marks Obtained Number of students

250–300 10

300–350 12

350–400 14

400–450 13

450–500 11

What is the number of possible outcomes, when two dies are thrown, simultaneously?

1. 12

2. 36

3. 6

4. None of these.

 

Ans: 2. 36

Solution:

Number of possible outcomes of each dies = 6

For two dies, number of possible outcomes = 6 × 6 = 36

Q62. A bag has 4 red balls and 4 green balls, what is the probability of getting a red ball randomly?

1.

2.

3.

4.

 

Ans: 1.

Solution:

Total number of balls in bag = 4 + 4 = 8

Total number of red balls = 4

Probability of getting a red ball =

Q63. Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is:

1. 8

2. 7

3. 9

4. 12

 

Ans: 4. 12

Solution:

Given, a bag contains 3 red, 5 black and 4 blue balls.

Then, total number of outcomes = Total number of balls = 3 + 5 + 4 = 12

Q64. A child has a block in the shape of a cube with one letter written on each face as shown below:

The cube is thrown once. What is the probability of getting A?

1.

2.

3.

4.

 

Ans: 1.

Solution:

Probability

Q65. Study the following frequency distribution table and answer the questions given below: 

Daily wages Number of works

290-325 5

325-360 2

360-395 4

395-430 6

430-465 7

465-500 5

The number of workers getting wages? 395 and above is:

1. 18

2. 24

3. 12

4. 28

Ans: 1. 18

Solution:

Required number = 6 + 7 + 5 = 18

Q66. Check the given table, and give the correct answers to the following questions.

Range of Marks Obtained Number of students

250–300 10

300–350 12

350–400 14

400–450 13

450–500 11

How many students secured marks between 250 – 300?

1. 13

2. 10

3. 11

4. 14

 

Ans: 2. 10

Q67. Which colour received of the votes?

1. Red

2. Blue

3. Green

4. Yellow

 

Ans: 3. Green

Solution:

Blue (25%), i.e. of votes received by blue.

Red (35%), i.e. of votes received by red.

Green (20%), i.e. of votes received by green.

Yellow (14%), i.e of votes received by yellow.

Others (6%), i.e. of votes received by others.

Hence, green is the required colour.

Q68. A dice is thrown. Find the probability of getting number more than 4.

1.

2.

3.

4.

 

Ans: 1.

Solution:

Total outcomes = 6

Favourable outcome = Numbers more than 4 = 2

P (number more than 4)

P (number more than 4)

Q69. Tally marks are used to find:

1. Class intervals.

2. Range.

3. Frequency.

4. Upper limit.

Ans: 3. Frequency.

Solution:

Tally marks are used to find the frequency of the observations.

Q70. Study the following frequency distribution table and answer the questions given below:

Daily wages Number of works

290-325 5

325-360 2

360-395 4

395-430 6

430-465 7

465-500 5

The number of workers getting daily wages 395-430 (in?) is:

1. 4

2. 5

3. 6

4. 7

 

Ans: 3. 6

Solution:

Frequency of class 395 – 430 is 6

Q71. How much expenditure has been done in all?

1. Rs. 21000

2. Rs. 18000

3. Rs. 15000

4. Rs. 20000

 

Ans: 1. Rs. 21000

Solution:

Total expenditure

= (1 + 6 + 4 + 5 + 2 + 3) × 1000 = Rs. 21000

Q72. Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped

on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?

1.

2.

3.

4.

 

Ans: 3.

Solution:

Total number of buttons = 4 + 7 + 3 + 6 = 20

Probability that button on the floor is blue

Q73. A coin is tossed two times. The number of possible outcomes is:

1. 1

2. 2

3. 3

4. 4

 

Ans: 4. 4

Solution:

Number of possible outcomes is 4,

i.e. HH, HT, TH, TT.

Q74. What is the total number of buses produced in the months of april, may and june? 

1. 3200

2. 4200

3. 4100

4. 3100

Ans: 2. 4200

Solution:

The number of buses produced in april = 1200

The number of buses produced in may = 1400

The number of buses produced in june = 1600

The total number of buses produced over the 3 years = 1200 + 1400 + 1600 = 4200

Q75. Pictorial representation of data using symbols is known as:

1. Pie chart.

2. Bar graph.

3. Pictograph.

4. None of these.

 

Ans: 3. Pictograph.

Q76. Check the given table, and give the correct answers to the following questions.

Range of Marks Obtained Number of students

250–300 10

300–350 12

350–400 14

400–450 13

450–500 11

How many students come under the marks range of 300 – 400?

1. 26

2. 14

3. 25

4. 12

 

Ans: 1. 26

Solution:

Number of students from 300 – 350 = 12

Number of students from 350 – 400 = 14

Thus, the total number of students from 300 – 400 = 12 + 14 = 26

Q77. Observe the histogram and answer the questions given below:

How many players make runs less than 40?

1. 8

2. 2

3. 18

4. 10

 

Ans: 3. 18

Solution:

Required number = 2 + 16 = 18

Q78. Find the class width of the following histogram: 

1. 10

2. 15

3. 5

4. 20

Ans: 3. 5

Solution:

Intervals are 60 – 65, 65 – 70, 70 – 75, 75 – 80, 80 – 85, 85 – 90

Class width = Lower class limit – Upper class limit

So the class width = 65 – 60 = 5

Q79. A coin is tossed three times. The number of possible outcomes is:

1. 3

2. 4

3. 6

4. 8

 

Ans: 4. 8

Solution:

Number of possible outcomes is 8,

i.e. HHH, HHT, HTH, THH, TTH, THT, HTT, TTT.

Q80. Study the following frequency distribution table and answer the questions given below:

Daily wages Number of works

290-325 5

325-360 2

360-395 4

395-430 6

430-465 7

465-500 5

The total number of workers is:

1. 29

2. 22

3. 28

4. 21

 

Ans: 1. 29

Solution:

Required number = 5 + 2 + 4 + 6 + 7 + 5

= 29

Q81. What is the percentage of students who got better than grade C on test?

1. 52%

2. 41%

3. 26%

4. 74%

 

Ans: 2. 41%

Solution:

The grades better than grade ‘C’ is grade ‘A’ and ‘B’.

Percentage of students getting grade ‘A’ = 12%

Percentage of students getting grade ‘B’ = 29%

Total percentage of students getting grade better than ‘C’ = 12% + 29% = 41%

Q82. Observe the following bar graph carefully and answer the following questions:

The difference of the number of books of English and Science is:

1. 200

2. 100

3. 400

4. 0

 

Ans: 4. 0

Solution:

200 – 200 = 0

Q83. Check the given table, and give the correct answers to the following questions.

Range of Marks Obtained Number of students

250–300 10

300–350 12

350–400 14

400–450 13

450–500 11

What is the total number of students for all ranges?

1. 60

2. 14

3. 50

4. 12

 

Ans: 1. 60

Solution:

Total number of students = 10 + 14 + 12 + 13 + 11 = 60

Q84. Observe the histogram and answer the questions given below:

The total number of players making runs 20 and more is:

1. 74

2. 64

3. 84

4. 54

 

Ans: 1. 74

Solution:

Required number

= 2 + 16 + 14 + 4 + 6 + 14 + 8 + 10 = 74

Q85. If a coin is flipped in the air, what is the probability of getting a tail?

1. 1

2. 2

3.

4. 0

 

Ans: 3.

Solution:

A coin has two sides, Head and tails.

Probability = Number of possible outcomes/Total number of outcomes

We know that the tail is present on one side of a coin and in total there could be two outcomes H & T.

Hence, the probability of getting a tail

Q86. When a die is thrown, total number of possible outcomes is ______. 

1. 6

2. 36

3. 2

4. None of these.

Ans: 1. 6

Q87. Observe the histogram and answer the questions given below:

The number of students getting marks 6 and above is:

1. 11

2. 10

3. 12

4. 9

 

Ans: 1. 11

Solution:

Required number = 9 + 2 = 11

Q88. A group of students were asked for their favourite channels on T.V. The result were as listed below:

News, sports, informative, news, entertainment, news, sports, entertainment, informative, news, sports, informative, sports,

entertainment, sports, news, entertainment, sports.

Which is the least liked channel?

1. News

2. Sports

3. Entertainment

4. Informative

 

Ans: 4. Informative

Solution:

Arranging the data in the tally marks we get:

Channels Tally marks Number of students

News 1111 5

Sports 1111 1 6

Entertainment 1111 4

Informative 111 3

The least liked channel is informative channel which is liked by 3 students.

Q89. Two dice are thrown, find and number of outcomes.

1. 36

2. 6

3. 12

4. None of these.

 

Ans: 1. 36

Q90. Study the following frequency distribution table and answer the questions given below:

Daily wages Number of works

290-325 5

325-360 2

360-395 4

395-430 6

430-465 7

465-500 5

The frequency of the third class is:

1. 5

2. 4

3. 2

4. 7

 

Ans: 2. 4

Solution:

Third class is 360 – 395

Q91. Look at the histogram below and find out many students have more than or equal height than 130cm but less than 145cm?

1. 46

2. 32

3. 22

4. 40

 

Ans: 4. 40

Solution:

The number of student having height more than equal to 130cm but less than 145cm

= 8 + 14 + 18 = 40

Q92. Tally marks are used to find which of the following?

1. Frequency

2. Lower limits

3. Upper limits

4. Class marks

 

Ans: 1. Frequency

Solution:

Tally marks is used for counting purpose, it is used to find frequency of the data.

Q93. In the class- interval 70-80, 80 is the:

1. Upper limit

2. Frequency

3. Range

4. Lower limit

 

Ans: 1. Upper limit

Q94. A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Hari takes out a marble from the jar at random.

What is the probability that the chosen marble is of red colour?

1.

2.

3.

4.

 

Ans: 2.

Solution:

As, jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Then,

Probability that the chosen marble is of red colour

Q95. Observe the histogram and answer the questions given below:

Which groups contain the maximum number of students?

1. 2-4

2. 4-6

3. 6-8

4. 8-10

Ans: 4. 8-10

Solution:

Minimum number of students

= 2 → 8-10

Q96. Observe the pie chart given below and answer the following questions:

The central angle for sector B is:

1. 108°

2. 144°

3. 72°

4. 120°

 

Ans: 2. 144°

Solution:

Central angle for sector B

Q97. Adjoining pie chart gives the expenditure (In percentage) on various items & savings of a family during a month. Answer the

following questions on the basis of the information given in the pie chart.

Expenditure on which item is equal to the total savings of the family?

1. House rent

2. Food

3. Clothes

4. Education

 

Ans: 4. Education

Q98. Which two classes have the same frequency?

Class Interval Frequency

0 – 10 1

10 – 20 6

20 – 30 20

30 – 40 12

40 – 50 6

Total 45

1. 20 – 30 and 40 – 50

2. 10 – 20 and 20 – 30

3. 10 – 20 and 40 – 50

4. None of these.

 

Ans: 3. 10 – 20 and 40 – 50

Q99. Numbers 1 to 10 are written on ten separates slips (one number on one slip), kept in a box and mixed well. One slip is chosen

from the box without looking in to it.

What is the probability of getting a number 6?

1. 1

2. 0

3.

4.

 

Ans: 3.

Q100. Study the following frequency distribution table and answer the questions given below:

Daily wages Number of works

290-325 5

325-360 2

360-395 4

395-430 6

430-465 7

465-500 5

The class with lowest frequency is:

1. 325-360

2. 360-395

3. 465-500

4. 395-430

 

Ans: 1. 325-360

Solution:

Lowest frequency = 2 → 325-360

Q101. The difference n the population of USA in the year 1981 and 1991 together and in the year 1996 and 2001 together is:

1. 75,000

2. 105,000

3. 180,000

4. 90,000

 

Ans: 1. 75,000

Solution:

Population of USA in the year 1981 and 1991 together = 45,000 + 60,000 = 105,000

Population of USA in the year 1996 and 2001 together = 75,000 + 105,000 = 180,000

The difference in the population of USA in the year 1981 and1991 together and in the year 1996 and 2001 together

= 180,000 – 105,000 = 75,000

Q102. When a coin is thrown, total number of possible outcomes is ______.

1. 2

2. 5

3. 6

4. None of these.

 

Ans: 1. 2

Q103. The given graph shows the number of employees who joined the two different companies from january to april how many more

employees joined company A than company B from January to april?

1. 800

2. 1000

3. 1800

4. 1200

 

Ans: 2. 1000

Solution:

Number of employees who joined company A from january to april

= 600 + 500 + 400 + 300 = 1800

Number of employees who joined company B from january to april

= 400 + 200 + 100 + 100 = 800

1

10

In company A there are 1000 people more than company B.

Q104. Observe the following bar graph carefully and answer the following questions:

The total of the number of books of English and Science is:

1. 200

2. 100

3. 400

4. 0

 

Ans: 3. 400

Solution:

200 + 200 = 400

Q105. The shape of a pie-chart is:

1. Circular

2. Rectangular

3. Square

4. Oval

 

Ans: 1. Circular

Q106. Tick the correct answer in the following:

A die is thrown. What is the probability of getting an even number?

1.

2.

3.

4.

 

Ans: 1.

Solution:

A die is thrown possible outcomes = 6

Now probability of getting an even number which are 2, 4, 6

Q107. Observe the following bar graph carefully and answer the following questions:

How many books are there of the subject whose books are maximum?

1. 100

2. 200

3. 300

4. 400

 

Ans: 4. 400

Solution:

Hindi → 400.

Q108. Observe the pie chart and answer the following questions:

Which two colours have the same central angles?

1. Red, yellow.

2. Red, green.

3. Yellow, green.

4. Blue, red.

Ans: 1. Red, yellow.

Solution:

Red → 45%

Yellow → 45%

Q109. Size of the class 150-175 is:

1. 150

2. 175

3. 25

4. -25

 

Ans: 3. 25

Solution:

Size of the class 150-175

= Upper limit – Lower

Limit = 175 – 150 = 25

Q110. If 20-30 is the class interval of grouped data, then the lower class limit is:

1. 20

2. 10

3. 50

4. 30

 

Ans: 1. 20

Q111. The class mark of 95 – 100 is:

1. 95.5

2. 97.5

3. 95

4. 100

 

Ans: 2. 97.5

Q112. What are the possible number of outcomes if a coin is tossed twice?

1. One

2. Two

3. Three

4. Four

 

Ans: 4. Four

Q113. Observe the histogram and answer the questions given below:

The number of students getting marks 4 to less than 6 is:

1. 2

2. 4

3. 6

4. 8

 

Ans: 2. 4

Solution:

Required number

= Frequency of class (4 – 6) = 4

Q114. Numbers 1 to 5 are written on separate slips, i.e one number on one slip and put in a box. Wahida pick a slip from the box

without looking at it. What is the probability that the slip bears an odd number?

1.

2.

3.

4.

 

1

52

53

5

4

5

Ans: 3.

Solution:

Numbers on the slips are 1, 2, 3, 4 and 5.

Odd numbers = 1, 3, 5

Number of slips bears an odd number = 3

Probability that the slip bears an odd number

Q115. A coin is tossed 12 times and the outcomes are observed as shown below:

The chance of occurrence of Head is:

1.

2.

3.

4.

 

Ans: 2.

Solution:

Total number of times coin tossed = 12

Total number of occurrence of head = 5

The chance of occurrence of head

Q116. Study the following frequency distribution table and answer the questions given below:

Class interval Age (in years) Number of Persons

15-20 12

20-25 20

25-30 42

30-35 20

35-40 6

What is the size of the class intervals?

1. 5

2. 10

3. 15

4. 20

 

Ans: 1. 5

Solution:

Size = 20 – 15 = 5

Q117. Check the given table, and give the correct answers to the following questions.

Range of Marks Obtained Number of students

250–300 10

300–350 12

350–400 14

400–450 13

450–500 11

The number of times that a particular entry occurs is called:

1. Raw data

2. Class-interval

3. Range

4. Frequency

 

Ans: 4. Frequency

Q118. Study the following frequency distribution table and answer the questions given below:

Daily wages Number of works

325-360 2

360-395 4

395-430 6

430-465 7

465-500 5

The upper limit of the fourth class is:

1. 430

2. 395

3. 465

4. 500

Ans: 1. 430

Solution:

Size = 325 – 290 = 35

Q119. Observe the following bar graph carefully and answer the following questions:

Of which subject are there the maximum books?

1. Hindi

2. English

3. Maths

4. Science

 

Ans: 1. Hindi

Solution:

The height of the bar corresponding to Hindi is maximum.

Q120. Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing,

that has the number 2 on it?

1.

2.

3.

4.

 

Ans: 1.

Solution:

Total number of cards = 5

Number of cards having 2 on it = 2

Probability of Rohan picking a card without seeing, that has the number 2 on it

Q121. Tick the correct answer in the following:

8 cards are numbered as 1, 2, 3, 4, 5, 6, 7, 8 respectively. They are kept in a box and mixed thoroughly. One card is chosen at

random. What is the probability of getting a number less than 4?

1.

2.

3.

4.

 

Ans: 3.

Solution:

8 cards are numbered 1, 2, 3, 4, 5, 6, 7, 8

They are mixed and kept in a box one care is chosen at random, then probability of card having 9 number less than

 

 

 

 

Also Read Notes: –Class 8th Mathematics Chapter 5: Data Handling

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