 # 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 (2022-2023) 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.

## 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

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

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 ½ x ⅗ is equal to:

A. ½

B. 3/10

C. ⅗

D. ⅖

Explanation: ½ x ⅗ = (1 x 3)/(2 x 5) = 3/10

4. The value of (½) ÷ (⅗) is equal to:

A. 3/10

B. ⅗

C. 6/5

D. ⅚

Explanation: (½) ÷ (⅗) = (½) x (5/3) = (1 x 5)/(2 x 3) = ⅚

5. The value of ½ + ¼ is equal to:

A. ¾

B. 3/2

C. ⅔

D. 1

Explanation: ½ + ¼

Making the denominator equal:

2/4 + ¼ = (2 + 1)/4 = ¾

6. The value of (5/4) – (8/3) is:

A. 17/12

B. -17/12

C. 12/17

D. -12/17

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:

B. Multiplication and division

D. Subtraction and Division

Explanation: As per associative property:

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

A × (B × C) = (A × B) × 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

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

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

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 ⅔ and 4/9?

A. 6/3

B. 6/9

C. 10/9

D. 10/3

Solution: ⅔ + 4/9

⇒ ⅔ x (3/3) + 4/9

⇒ 6/9 + 4/9

⇒ 10/9

12. What is the product of 2/9 and ¾?

A. ⅙

B. ⅔

C. 1/9

D. ¼

Solution: The product of 2/9 and ¾:

⇒ 2/9 x ¾

⇒ (2 x 3)/(9 x 4)

⇒ (2 x 3)/(3 x 3 x 2 x 2)

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

⇒ 1/(3×2)

⇒ ⅙

13. What is the reciprocal of 1/9?

A. 9

B. 0

C. 1

D. None of the above

1/9 x 9 = 1

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

A. 0

B. 100

C. 1

D. Undefined

100/0 = undefined

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

C. Multiplication and division

D. Subtraction and division

16. Division of rational numbers is associative.

A. True

B. False

Explanation: Division of rational numbers is not associative.

For example,

2/5 ÷ (1/2 ÷ 1/4) =  0.2

(2/5 ÷ 1/2) ÷ 1/4 = 3.2

Hence, 2/5 ÷ (1/2 ÷ 1/4) ≠ (2/5 ÷ 1/2) ÷ 1/4

17. What is the value of ¾ + ⅚ + 2/7?

A. 10/84

B. 134/84

C. 157/84

D. 167/84

Solution: Given,

¾+⅚+2/7

LCM of 4, 6 and 7 = 84

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

⇒ 63/84 + 70/84 + 24/84

⇒ 157/84

18. Find the additive inverse of 11/7?

A. 7/11

B. -7/11

C. 11/7

D.-11/7

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

11/7 – 11/7 = 0

19. How many rational numbers are there in between ¾ and 1?

A. 0

B. 1

C. 2

D. Countless

Explanation: We can write ¾ 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 -⅔ to get -1?

A. ⅓

B. -⅓

C. ⅔

D. -⅔

Solution: Let x is subtracted from -⅔.

-⅔ – x = -1

-x = -1 + ⅔

-x = -⅓

x = ⅓

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