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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
Answer :(c) Addition and MultiplicationShow Answer :
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
Answer :(d) q ≠ 0Show Answer :
Question : a(b + c) = ab + ac is called
(a) commutative law
(b) associative law
(c) distributive law
(d) none of these.
Answer :(c) distributive lawShow Answer :
Question : The additive identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1
Answer :(a) 0Show Answer :
Question : Find the multiplicative inverse of -13.
(a) 13
(b) -13
(c) -1/13
(d) 12
Answer :(c) -1/13Show Answer :
Question : The value of ½ + ¼ is equal to:
(a) ¾
(b) 3/2
(c) ⅔
(d) 1
Answer : (a)Show Answer :
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
Answer : (b)Show Answer :
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
Answer : (c)Show Answer :
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
Answer : (c)Show Answer :
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
Answer : (a)Show Answer :
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
Answer : (b)Show Answer :
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
Answer : (d)Show Answer :
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
Answer : (a)Show Answer :
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
Answer : (a)Show Answer :
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
Answer :c) -1/2Show Answer :
Question : 0 is not
(a) a natural number
(b) a whole number
(c) an integer
(d) a rational number.
Answer :(a) a natural numberShow Answer :
Question : The value of ½ x ⅗ is equal to:
(a) ½
(b) 3/10
(c) ⅗
(d) ⅖
Answer :(d) 3/10Show Answer :
Question : The additive identity for rational numbers is
(a) 1
(b) -1
(c) 0
(d) None of these
Answer :(c) 0Show Answer :
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
Answer :(d) The number itselfShow Answer :
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
Answer :(d) -3/2Show Answer :
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.
Answer :(a) commutative law of additionShow Answer :
Question : The value of ½ + ¼ is equal to:
(a) ¾
(b) 3/2
(c) ⅔
(d) 1
Answer :(a) ¾Show Answer :
Question : Which of the following is the Multiplicative identity for rational numbers?
(a) 1
(b) -1
(c) 0
(d) None of these
Answer :(a) 1Show Answer :
Question : What is the additive inverse of -2/3?
(a) 0
(b) 1
(c) 2/3
(d) -2/3
Answer :(c) 2/3Show Answer :
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.
Answer :(c) associative law for additionShow Answer :
Question : The multiplicative inverse of 1/2 is
(a) 1
(b) -1
(c) 2
(d) 0
Answer :(c) 2Show Answer :
Question :Which of the following forms a pair of equivalent rational numbers?
(a)
(b)
(c)
(d)
Answer : (b) Show Answer :
Question :Which number is in the middle if
(a)
(b)
(c)
(d)
Answer : (c) Show Answer :
Question :Find the multiplicative inverse of -13.
(a) 13
(b) -13
(c)
(d) 12
Answer : (c) Show Answer :
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).
Answer : (d) Both (a) and (c).Show Answer :
Question : The multiplicative identity of rational numbers is:
(a) 0
(b) 1
(c) 2
(d) -1
Answer : (b)Show Answer :
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.
Answer :(a) Natural numbers are closed under subtractionShow Answer :
Question : A rational number can be represented in the form of:
(a) p/q
(b) pq
(c) p+q
(d) p-q
Answer :(a) p/qShow Answer :
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.
Answer :(c) Integers are closed under divisionShow Answer :
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).
Answer :(d) Both (i) and (iii).Show Answer :
Question :Which of the following is the identity element under addition?
(a) 1
(b) -1
(c) 0
(d) None of these
Answer : (c) 0Show Answer :
Question :What is the additive inverse of
(a) 0
(b) 1
(c)
(d)
Answer : (c) Show Answer :
Question :Write the additive inverse of
(a) 1
(b)
(c)
(d) 0
Answer : (b) Show Answer :
Question :Which among the following is a rational number equivalent to
(a)
(b)
(c)
(d)
Answer : (c) Show Answer :
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
Answer : (d) The number itselfShow Answer :
Question :How is
(a)
(b)
(c)
(d)
Answer : (b) Show Answer :
Question :The value of
(a)
(b)
(c)
(d)
Answer : (b) Show Answer :
Question :What should be subtracted from
(a)
(b)
(c)
(d)
Answer : (a) Show Answer :
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
Answer : (b) q ≠ 0Show Answer :
Question :The value of
(a)
(b)
(c)
(d) 1
Answer : (a) Show Answer :
Question :Which of the following is the Multiplicative identity for rational numbers?
(a) 1
(b) -1
(c) 0
(d) None of these
Answer : (a) 1Show Answer :
Question :________ is not associative for rational numbers.
(a) Subtraction or Division
(b) Addition or Multiplication
(c) Addition or Division
(d) Multiplication or Division
Answer : (a) Subtraction or DivisionShow Answer :
Question :Which of the following is the Multiplicative identity for rational numbers?
(a) 1
(b) -1
(c) 0
(d) None of these
Answer : (a) 1Show Answer :
Question :Find the multiplicative inverse of
(a) 4
(b)
(c) -4
(d)
Answer : (a) 4Show Answer :
Question :Which of the following is the reciprocal of a rational number?
(a) -1
(b) 1
(c) 2
(d) Both a and b
Answer : (d) Both a and bShow Answer :
Question :What is the sum of the additive inverse and multiplicative inverse of 2?
(a)
(b)
(c)
(d)
Answer : (b) Show Answer :
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).
Answer : (d) Both (a) and (c).Show Answer :
Question :Find the reciprocal of -2.
(a) 2
(b) -2
(c)
(d) None of these
Answer : (c) Show Answer :
Question : An integer can be:
(a) Only Positive
(b) Only Negative
(c) Both positive and negative
(d) None of the above
Answer :CShow Answer :
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
Answer :AShow Answer :
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
Answer :BShow Answer :
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
Answer :AShow Answer :
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
Answer :BShow Answer :
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
Answer 😀Show 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
Answer :CShow Answer :
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
Answer :AShow Answer :
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
Answer :AShow Answer :
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
Answer :BShow Answer :
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
Answer :A. 9Show Answer :
1/9 x 9 = 1
Question : What is the value of 100 divided by 0?
A. 0
B. 100
C. 1
D. Undefined
Answer :D. UndefinedShow Answer :
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
Answer :B. Addition and multiplicationShow Answer :
Question : Division of rational numbers is associative.
A. True
B. False
Answer :B. False. Explanation: Division of rational numbers is not associative.Show Answer :
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
Answer :C. 157/84 Solution: Given,Show Answer :
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
Answer :C.10/9Show Answer :
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
Answer :A. ⅙Show Answer :
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
Answer :D. -11/7 Explanation: When a number is added to its additive inverse, then the result is zero,Show Answer :
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
Answer :D. Countless Explanation: We can write ¾ as 30/40 and 1 as 40/40.Show Answer :
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
Answer :A. ⅓ Solution: Let x is subtracted from -⅔.Show Answer :
-⅔ – x = -1
-x = -1 + ⅔
-x = -⅓
x = ⅓