NCERT Class 8 Mathematics MCQ (1)

Class 8 Mathematics MCQ Rational Numbers

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NCERT Class 8 Mathematics MCQ
Rational Numbers with Answers

Question : The associative property is applicable to:
(a) Addition and subtraction
(b) Multiplication and division
(c) Addition and Multiplication
(d) Subtraction and Division

Show Answer :

Answer :(c) Addition and Multiplication

Question : A number which can be written in the form, p/q where p and q are integers and _ is called a rational number.
(a) q = 0
(b) q ≠ 0
(c) q = 1
(d) none of these

Show Answer :

Answer :(d) q ≠ 0

Question : a(b + c) = ab + ac is called
(a) commutative law
(b) associative law
(c) distributive law
(d) none of these.

Show Answer :

Answer :(c) distributive law

Question : The additive identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1

Show Answer :

Answer :(a) 0

Question : Find the multiplicative inverse of -13.
(a) 13
(b) -13
(c) -1/13
(d) 12

Show Answer :

Answer :(c) -1/13

Question : The value of ½ + ¼ is equal to:
(a) ¾
(b) 3/2
(c) ⅔
(d) 1

Show Answer :

Answer : (a)
Explanation: ½ + ¼
Making the denominator equal:
2/4 + ¼ = (2+1)/4 = ¾

Question : The value of 5/4 – 8/3 is:
(a) 17/12
(b) -17/12
(c) 12/17
(d) -12/17

Show Answer :

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

Question : The associative property is applicable to:
(a) Addition and subtraction
(b) Multiplication and division
(c) Addition and Multiplication
(d) Subtraction and Division

Show Answer :

Answer : (c)
Explanation: As per associative property:
A+B = B+A
A.B = B.A
Where A and B are two integers.

Question : An integer can be:
(a) Only Positive
(b) Only Negative
(c) Both positive and negative
(d) None of the above

Show Answer :

Answer : (c)
Explanation: An integer can be both positive and negative as well as zero.

Question : A rational number can be represented in the form of:
(a) p/q
(b) pq
(c) p+q
(d) p-q

Show Answer :

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.

Question : The value of ½ x ⅗ is equal to:
(a) ½
(b) 3/10
(c) ⅗
(d) ⅖

Show Answer :

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

Question : The value of (½) ÷ (⅗) is equal to:
(a) 3/10
(b) ⅗
(c) 6/5
(d) ⅚

Show Answer :

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

Question : The value of (-10/3) x (-15/2) x (17/19) x 0 is:
(a) 0
(b) 22.66
(c) 20
(d) 35

Show Answer :

Answer : (a)
Explanation: Any number multiplied by zero is equal to zero.

Question : The additive identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1

Show Answer :

Answer : (a)
Explanation: Any number added to zero is equal to the number itself.
Ex: 5+0 = 5

Question : Find the reciprocal of -2.
(a) 2
(b) -2
(c) -1/2
(d) None of these

Show Answer :

Answer :c) -1/2

Question : 0 is not
(a) a natural number
(b) a whole number
(c) an integer
(d) a rational number.

Show Answer :

Answer :(a) a natural number

Question : The value of ½ x ⅗ is equal to:
(a) ½
(b) 3/10
(c) ⅗
(d) ⅖

Show Answer :

Answer :(d) 3/10

Question : The additive identity for rational numbers is
(a) 1
(b) -1
(c) 0
(d) None of these

Show Answer :

Answer :(c) 0

Question : Which of the following is the reciprocal of the reciprocal of a rational number?
(a) -1
(b) 1
(c) 0
(d) The number itself

Show Answer :

Answer :(d) The number itself

Question : What is the sum of the additive inverse and multiplicative inverse of 2?
(a) 3/2
(b) -3/2
(c) 1/2
(d) -1/2

Show Answer :

Answer :(d) -3/2

Question : a + b = b + a is called
(a) commutative law of addition
(b) associative law of addition
(c) distributive law of addition
(d) none of these.

Show Answer :

Answer :(a) commutative law of addition

Question : The value of ½ + ¼ is equal to:
(a) ¾
(b) 3/2
(c) ⅔
(d) 1

Show Answer :

Answer :(a) ¾

Question : Which of the following is the Multiplicative identity for rational numbers?
(a) 1
(b) -1
(c) 0
(d) None of these

Show Answer :

Answer :(a) 1

Question : What is the additive inverse of -2/3?
(a) 0
(b) 1
(c) 2/3
(d) -2/3

Show Answer :

Answer :(c) 2/3

Question : (a + b) + c = a + (b + c) is called
(a) commutative law for multiplication
(b) commutative law for addition
(c) associative law for addition
id) associative law for multiplication.

Show Answer :

Answer :(c) associative law for addition

Question : The multiplicative inverse of 1/2 is
(a) 1
(b) -1
(c) 2
(d) 0

Show Answer :

Answer :(c) 2

Question :Which of the following forms a pair of equivalent rational numbers?
(a) 2440 and 3550
(b) 2535 and 5577
(c) 815 and 2448
(d) 972 and 321

Show Answer :

Answer : (b) 2535 and 5577

Question :Which number is in the middle if 16, 49, 67, 25 and 34 arranged in descending order?
(a) 25
(b) 49
(c) 16
(d) 67

Show Answer :

Answer : (c) 16

Question :Find the multiplicative inverse of -13.
(a) 13
(b) -13
(c) 113
(d) 12

Show Answer :

Answer : (c) 113

Question :Which of the following statements is true?
(a) Every fraction is a rational number.
(b) Every rational number is a fraction.
(c) Every integer is a rational number.
(d) Both (a) and (c).

Show Answer :

Answer : (d) Both (a) and (c).

Question : The multiplicative identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1

Show Answer :

Answer : (b)
Explanation: Any number multiplied by 1 is equal to the number itself
Ex: 5 x 1 = 5

Question : Which of the following statements is false ?
(a) Natural numbers are closed under subtraction
(b) Whole numbers are not closed under subtraction
(c) Integers are closed under subtraction
(d) Rational numbers are closed under subtraction.

Show Answer :

Answer :(a) Natural numbers are closed under subtraction

Question : A rational number can be represented in the form of:
(a) p/q
(b) pq
(c) p+q
(d) p-q

Show Answer :

Answer :(a) p/q

Question : Which of the following statements is true?
(a) Natural numbers are closed under division.
(b) Whole numbers are not closed under division.
(c) Integers are closed under division.
(d) Rational numbers are closed under division.

Show Answer :

Answer :(c) Integers are closed under division

Question : Which of the following statements is true?
(a) Every fraction is a rational number.
(b) Every rational number is a fraction.
(c) Every integer is a rational number.
(d) Both (i) and (iii).

Show Answer :

Answer :(d) Both (i) and (iii).

Question :Which of the following is the identity element under addition?
(a) 1
(b) -1
(c) 0
(d) None of these

Show Answer :

Answer : (c) 0

Question :What is the additive inverse of 23?
(a) 0
(b) 1
(c) 23
(d) 23

Show Answer :

Answer : (c) 23

Question :Write the additive inverse of 45.
(a) 1
(b) 45
(c) 45
(d) 0

Show Answer :

Answer : (b) 45

Question :Which among the following is a rational number equivalent to 53 ?
(a) 2515
(b) 2515
(c) 2515
(d) 2530

Show Answer :

Answer : (c) 2515

Question :Which of the following is the reciprocal of the reciprocal of a rational number?
(a) -1
(b) 1
(c) 0
(d) The number itself

Show Answer :

Answer : (d) The number itself

Question :How is 2884 expressed as a rational number with numerator 4?
(a) 47
(b) 412
(c) 412
(d) 47

Show Answer :

Answer : (b) 412

Question :The value of 12 × 35 is equal to:
(a) 12
(b) 310
(c) 35
(d) 25

Show Answer :

Answer : (b) 310

Question :What should be subtracted from 711 to get −2?
(a) 1511
(b) 1511
(c) 2911
(d) 2911

Show Answer :

Answer : (a) 1511

Question :A number which can be written in the form, p/q where p and q are integers and _____ is called a rational number.
(a) q = 0
(b) q ≠ 0
(c) q = 1
(d) none of these

Show Answer :

Answer : (b) q ≠ 0

Question :The value of 12 + 14 is equal to:
(a) 34
(b) 32
(c) 23
(d) 1

Show Answer :

Answer : (a) 34

Question :Which of the following is the Multiplicative identity for rational numbers?
(a) 1
(b) -1
(c) 0
(d) None of these

Show Answer :

Answer : (a) 1

Question :________ is not associative for rational numbers.
(a) Subtraction or Division
(b) Addition or Multiplication
(c) Addition or Division
(d) Multiplication or Division

Show Answer :

Answer : (a) Subtraction or Division

Question :Which of the following is the Multiplicative identity for rational numbers?
(a) 1
(b) -1
(c) 0
(d) None of these

Show Answer :

Answer : (a) 1

Question :Find the multiplicative inverse of 14.
(a) 4
(b) 14
(c) -4
(d) 14

Show Answer :

Answer : (a) 4

Question :Which of the following is the reciprocal of a rational number?
(a) -1
(b) 1
(c) 2
(d) Both a and b

Show Answer :

Answer : (d) Both a and b

Question :What is the sum of the additive inverse and multiplicative inverse of 2?
(a) 32
(b) 32
(c) 12
(d) 12

Show Answer :

Answer : (b) 32

Question :Which of the following statements is true?
(a) Every fraction is a rational number.
(b) Every rational number is a fraction.
(c) Every integer is a rational number.
(d) Both (a) and (c).

Show Answer :

Answer : (d) Both (a) and (c).

Question :Find the reciprocal of -2.
(a) 2
(b) -2
(c) 12
(d) None of these

Show Answer :

Answer : (c) 12

Question : An integer can be:
(a) Only Positive
(b) Only Negative
(c) Both positive and negative
(d) None of the above

Show Answer :

Answer :C
Explanation: An integer can be both positive and negative as well as zero.
i.e. …-3, -2, -1, 0, 1, 2, 3,….

Question : The value of ½ + ¼ is equal to:
(a) ¾
(b) 3/2
(c) ⅔
(d) 1

Show Answer :

Answer :A
Explanation: ½ + ¼
Making the denominator equal:
2/4 + ¼ = (2 + 1)/4 = ¾

Question : The value of (5/4) – (8/3) is:
(a) 17/12
(b) -17/12
(c) 12/17
(d) -12/17

Show Answer :

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

Question : A rational number can be represented in the form of:
(a) p/q
(b) pq
(c) p+q
(d) p-q

Show Answer :

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.

Question : The value of ½ x ⅗ is equal to:
(a) ½
(b) 3/10
(c) ⅗
(d) ⅖

Show Answer :

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

Question : The value of (½) ÷ (⅗) is equal to:
(a) 3/10
(b) ⅗
(c) 6/5
(d) ⅚

Show Answer :

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

Question : The associative property is applicable to:
(a) Addition and subtraction
(b) Multiplication and division
(c) Addition and Multiplication
(d) Subtraction and Division

Show Answer :

Answer :C
Explanation: As per associative property:
A + (B + C) = (A + B) + C
A × (B × C) = (A × B) × C

Question : The value of (-10/3) x (-15/2) x (17/19) x 0 is:
(a) 0
(b) 22.66
(c) 20
(d) 35

Show Answer :

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

Question : The additive identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1

Show Answer :

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.

Question : The multiplicative identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1

Show Answer :

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.

Question : What is the reciprocal of 1/9?
A. 9
B. 0
C. 1
D. None of the above

Show Answer :

Answer :A. 9
1/9 x 9 = 1

Question : What is the value of 100 divided by 0?
A. 0
B. 100
C. 1
D. Undefined

Show Answer :

Answer :D. Undefined
100/0 = undefined

Question : 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

Show Answer :

Answer :B. Addition and multiplication

Question : Division of rational numbers is associative.
A. True
B. False

Show Answer :

Answer :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

Question : What is the value of ¾ + ⅚ + 2/7?
A. 10/84
B. 134/84
C. 157/84
D. 167/84

Show Answer :

Answer :C. 157/84

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

Question : What is the sum of ⅔ and 4/9?
A. 6/3
B. 6/9
C. 10/9
D. 10/3

Show Answer :

Answer :C.10/9
Solution: ⅔ + 4/9
⇒ ⅔ x (3/3) + 4/9
⇒ 6/9 + 4/9
⇒ 10/9

Question : What is the product of 2/9 and ¾?
A. ⅙
B. ⅔
C. 1/9
D. ¼

Show Answer :

Answer :A. ⅙
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

Question : Find the additive inverse of 11/7?
A. 7/11
B. -7/11
C. 11/7
D.-11/7

Show Answer :

Answer :D. -11/7

Explanation: When a number is added to its additive inverse, then the result is zero,
11/7 – 11/7 = 0

Question : How many rational numbers are there in between ¾ and 1?
A. 0
B. 1
C. 2
D. Countless

Show Answer :

Answer :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.

Question : What should be subtracted from -⅔ to get -1?
A. ⅓
B. -⅓
C. ⅔
D. -⅔

Show Answer :

Answer :A. ⅓

Solution: Let x is subtracted from -⅔.
-⅔ – x = -1
-x = -1 + ⅔
-x = -⅓
x = ⅓

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