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Class 8 Maths Chapter 1 Rational Numbers MCQs

Class 8 Maths Chapter 1-Rational Numbers MCQs (Questions and Answers) are provided here online for students. These questions are prepared as per the CBSE board syllabus (2021-2022) and NCERT guidelines. The chapter-wise objective questions are given to students to make them understand each concept and help them to score good marks in exams. Also, learn important questions for class 8 Maths here, at BYJU’S.

Practice more and test your skills on Class 8 Maths Chapter 1 Rational numbers MCQs with the given PDF here.Β 

MCQs on Class 8 Rational Numbers

Multiple choice questions are available for Class 8 Rational numbers with each question consisting of four answers, out of which one is correct. Students have to solve the question and choose the correct answer. They can also check their solutions here.

1. An integer can be:

A. Only Positive

B. Only Negative

C. Both positive and negative

D. None of the above

Answer: C

Explanation: An integer can be both positive and negative as well as zero.

i.e. …-3, -2, -1, 0, 1, 2, 3,….

2. A rational number can be represented in the form of:

A. p/q

B. pq

C. p+q

D. p-q

Answer: A

Explanation: A rational number can be represented in the form p/q where p and q are integers and q is not equal to zero.

3. The value of Β½ x β…— is equal to:

A. Β½

B. 3/10

C. β…—

D. β…–

Answer: B

Explanation: Β½ x β…— = (1 x 3)/(2 x 5) = 3/10

4. The value of (Β½) Γ· (β…—) is equal to:

A. 3/10

B. β…—

C. 6/5

D. β…š

Answer: D

Explanation: (Β½) Γ· (β…—) = (Β½) x (5/3) = (1 x 5)/(2 x 3) = β…š

5. The value of Β½ + ΒΌ is equal to:


B. 3/2

C. β…”

D. 1

Answer: A

Explanation: Β½ + ΒΌ

Making the denominator equal:

2/4 + ΒΌ = (2 + 1)/4 = ΒΎ

6. The value of (5/4) – (8/3) is:

A. 17/12

B. -17/12

C. 12/17

D. -12/17

Answer: B

Explanation: 5/4 – 8/3

Making the denominator equal:

[(5/4) x (3/3)] – [(8/3) x (4/4)]

= (15/12) – (32/12)

= (15 – 32)/12

= -17/12

7. The associative property is applicable to:

A. Addition and subtraction

B. Multiplication and division

C. Addition and Multiplication

D. Subtraction and Division

Answer: C

Explanation: As per associative property:

A + (B + C) = (A + B) + C

A Γ— (BΒ Γ— C) = (AΒ Γ— B)Β Γ— C

8. The value of (-10/3) x (-15/2) x (17/19) x 0 is:

A. 0

B. 22.66

C. 20

D. 35

Answer: A

Explanation: Any number multiplied by zero is equal to zero.

9. The additive identity of rational numbers is:

A. 0

B. 1

C. 2

D. -1

Answer: A

Explanation: Any number added to zero is equal to the number itself.

Ex: 5+0 = 5

Therefore, 0 is the additive identity of rational numbers.

10. The multiplicative identity of rational numbers is:

A. 0

B. 1

C. 2

D. -1

Answer: B

Explanation: Any number multiplied by 1 is equal to the number itself.

Ex: 5 x 1 = 5

Therefore, 1 is the multiplicative identity of rational numbers.

11. What is the sum of β…” and 4/9?

A. 6/3

B. 6/9

C. 10/9

D. 10/3

Answer: C.10/9

Solution: β…” + 4/9

β‡’ β…” x (3/3) + 4/9

β‡’ 6/9 + 4/9

β‡’ 10/9

12. What is the product of 2/9 and ΒΎ?

A. β…™

B. β…”

C. 1/9


Answer: A. β…™

Solution: The product of 2/9 and ΒΎ:

β‡’ 2/9 x ΒΎ

β‡’ (2 x 3)/(9 x 4)

β‡’ (2 x 3)/(3 x 3 x 2 x 2)

By cancelling the common terms from numerator and denominator, we get;

β‡’ 1/(3×2)

β‡’ β…™

13. What is the reciprocal of 1/9?

A. 9

B. 0

C. 1

D. None of the above

Answer: A. 9

1/9 x 9 = 1

14. What is the value of 100 divided by 0?

A. 0

B. 100

C. 1

D. Undefined

Answer: D. Undefined

100/0 = undefined

15. Which of the following is commutative for rational numbers?

A. Addition and subtraction

B. Addition and multiplication

C. Multiplication and division

D. Subtraction and division

Answer: B. Addition and multiplication

16.Β Division of rational numbers is associative.

A. True

B. False

Answer: B. False.

Explanation: Division of rational numbers is not associative.

For example,Β 

2/5 Γ· (1/2 Γ· 1/4) =Β  0.2

(2/5 Γ· 1/2) Γ· 1/4 = 3.2

Hence, 2/5 Γ· (1/2 Γ· 1/4) β‰  (2/5 Γ· 1/2) Γ· 1/4

17.Β What is the value of ΒΎ + β…š + 2/7?

A. 10/84

B. 134/84

C. 157/84

D. 167/84

Answer: C. 157/84

Solution: Given,

Β ΒΎ+β…š+2/7

LCM of 4, 6 and 7 = 84

Now, making the denominators the same and adding the given rational numbers, we get;

β‡’ 63/84 + 70/84 + 24/84

β‡’ 157/84

18. Find the additive inverse of 11/7?

A. 7/11

B. -7/11

C. 11/7


Answer: D. -11/7

Explanation: When a number is added to its additive inverse, then the result is zero,

11/7 – 11/7 = 0

19.Β How many rational numbers are there in between ΒΎ and 1?

A. 0

B. 1

C. 2

D. Countless

Answer: D. Countless

Explanation: We can write ΒΎ as 30/40 and 1 as 40/40.

Hence the rational numbers between them are:

31/40, 32/40, 33/40, 34/40,35/40,36/40, 37/40, 38/40, 39/40.

Note: There are countless rational numbers between any two rational numbers.

20. What should be subtracted from -β…” to get -1?

A. β…“

B. -β…“

C. β…”

D. -β…”

Answer: A. β…“

Solution: Let x is subtracted from -β…”.

-β…” – x = -1

-x = -1 + β…”

-x = -β…“

x = β…“

Video Lesson on Rational Numbers


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  31. For division, identity is 1 and for subtraction, identity is 0.
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    Similarly, if we subtract 0 from any number, the number remains the same.

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