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MCQ Questions for Class 8 Maths Chapter 16 Playing with Numbers with Answers

February 25, 2023February 24, 2023 by Veer

Check the below NCERT MCQ Questions for Class 8 Maths Chapter 16 Playing with Numbers with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Playing with Numbers Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-8-maths-chapter-16-with-answers/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 15 Playing with Numbers for better exam preparation and score more marks.

Playing with Numbers Class 8 MCQs Questions with Answers

Playing With Numbers Class 8 MCQ Question 1.
The generalised form of the number 52 is
(a) 10 × 5 + 2
(b) 100 × 5 + 2
(c) 10 × 2 + 5
(d) 10 × 5.

Answer

Answer: (a) 10 × 5 + 2

MCQ On Playing With Numbers For Class 8 Question 2.
The generalised form of the number 33 is
(a) 10 × 3 + 3
(b) 10 × 3
(c) 3 + 3
(d) 3 × 3 + 3.

Answer

Answer: (a) 10 × 3 + 3

Class 8 Maths Chapter 16 MCQ Question 3..
The number 10 × 7 + 5 in usual form is
(a) 57
(b) 75
(c) 55
(d) 77.

Answer

Answer: (b) 75

Playing With Numbers Class 8 MCQ Questions Question 4.
The number 10 × 2 + 7 in usual form is
(a) 72
(b) 22
(c) 77
(d) 21.

Answer

Answer: (d) 21.

MCQ Questions For Class 8 Maths Playing With Numbers Question 5.
The generalised form of the number 123 is
(а) 1 × 100 + 2 × 10 + 3
(b) 2 × 100 + 3 × 10 + 1
(c) 3 × 100 + 1 × 10 + 2
(d) none of these.

Answer

Answer: (а) 1 × 100 + 2 × 10 + 3

Class 8 Playing With Numbers MCQ Question 6.
The generalised form of the number 234 is
(а) 2 × 100 + 3 × 10 + 4
(b) 3 × 100 + 4 × 10 + 2
(c) 4 × 100 + 2 × 10 + 3
(d) none of these.

Answer

Answer: (а) 2 × 100 + 3 × 10 + 4

Playing With Numbers MCQ Class 8 Question 7.
The number 3 × 100 + 4 × 10 + 5 in usual form is
(a) 453
(b) 435
(c) 354
(d) 345.

Answer

Answer: (d) 345.

MCQ Of Playing With Numbers Class 8 Question 8.
The number 5 × 100 + 7 × 10 + 9 in usual form is
(a) 795
(b) 759
(c) 579
(d) 597.

Answer

Answer: (c) 579

Class 8 Maths Playing With Numbers MCQ Question 9.
The number 100 × a + 10 × 6 + c in usual form is
(a) abc
(b) bca
(c) cab
(d) none of these.

Answer

Answer: (a) abc

MCQs On Playing With Numbers Class 8 Question 10.
The number 100 × b + 10 × c + a in usual form is
(a) bac
(b) bca
(c) cab
(d) cba.

Answer

Answer: (b) bca

Playing With Numbers Class 8 Extra Questions Question 11.
Find the value of A in the following:

(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (c) 3
Hint:

Playing With Numbers Class 8 Extra Questions With Answers Question 12.
Find the value of A, B in the following:

(a) 5, 6
(b) 5, 5
(c) 6, 5
(d) 6, 6.

Answer

Answer: (a) 5, 6
Hint:

MCQ Questions For Class 8 Maths Chapter 16 Question 13.
Find the value of A, B in the following:

(a) 3, 1
(b) 1, 1
(c) 3, 3
(d) 1, 3.

Answer

Answer: (a) 3, 1
Hint:

MCQ Playing With Numbers Class 8 Question 14.
Find the value of A, B in the following:

(a) 6, 9
(b) 6, 6
(c) 9, 6
(d) 9, 9

Answer

Answer: (a) 6, 9
Hint:

Playing With Numbers Class 8 MCQ With Answers Question 15.
Find the values of A, B in the following:

(a) 5, 1
(b) 5, 5
(c) 1, 1
(d) 1, 5.

Answer

Answer: (a) 5, 1
Hint:

Question 16.
Which of the following numbers is divisible by 2 ?
(a) 19
(b) 27
(c) 99
(d) 50.

Answer

Answer: (d) 50.
Hint:
In 19, 27, 99, one’s digit is not divisible by 2.

Question 17.
Which of the following numbers is divisible by 2 ?
(a) 179
(b) 235
(c) 500
(d) 673.

Answer

Answer: (c) 500
Hint:
In 500, one’s digit is divisible by 2.

Question 18.
Which of the following numbers is not divisible by 2 ?
(a) 200
(b) 40
(c) 66
(d) 83.

Answer

Answer: (d) 83.
Hint:
In 83, one’s digit is not divisible by 2.

Question 19.
Which of the following numbers is not divisible by 2 ?
(a) 54
(b) 37
(c) 60
(d) 98.

Answer

Answer: (b) 37
Hint:
In 37, one’s digit is not divisible by 2.

Question 20.
Which of the following numbers is not divisible by 2 ?
(a) 120
(b) 244
(c) 888
(d) 179.

Answer

Answer: (d) 179.
Hint:
In 179, one’s digit is not divisible by 2.

Question 21.
If the number 1 x 8 is divisible by 3, then x is equal to
(a) 0 or 3 or 6 or 9
(b) 4
(c) 5
(d) 7.

Answer

Answer: (a) 0 or 3 or 6 or 9
Hint:
1 + 0 + 8 = 9
1 + 3 + 8 = 12;
9, 12, 15, 18 each is divisible by 3

Question 22.
If the number 9 y 7 is a multiple of 3, then y =
(a) 4
(b) 3
(c) 6
(d) 2 or 5 or 8.

Answer

Answer: (d) 2 or 5 or 8.
Hint:
9 + 2 + 7 = 18
9 + 5 + 7 = 21;
9 + 8 + 7 = 24.
each of 18, 21 and 24 is divisible by 3.

Question 23.
If the three-digit number 4 3 x is divisible by 9, what is the value of x ?
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (b) 2
Hint:
4 + 3 + 2 = 9 which is divisible by 9.

Question 24.
If the three-digit number x 2 7 is divisible by 9, then the value of x is
(a) 8
(b) 7
(c) 6
(d) 9.

Answer

Answer: (d) 9
Hint:
9 + 2 + 7 = 18 is divisible by 9.

Question 25.
If the three-digit number 6 y 8 is divisible by 9, then the value of y is
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (d) 4
Hint:
6 + 4 + 8 = 18 is divisible by 9.

Question 26.
Which of the following numbers is not divisible by 3 ?
(a) 123
(b) 132
(c) 231
(d) 134.

Answer

Answer: (d) 134
Hint:
1 + 3 + 4 = 8 is not divisible by 3.

Question 27.
Which of the following numbers is not divisible by 3 ?
(a) 234
(b) 243
(c) 324
(d) 457.

Answer

Answer: (d) 457
Hint:
4 + 5 + 7 = 16 is not divisible by 3.

Question 28.
Which of the following numbers is divisible by 3 ?
(a) 145
(b) 237
(c) 709
(d) 400.

Answer

Answer: (b) 237
Hint:
2 + 3 + 7 = 12 is divisible by 3.

Question 29.
Which of the following numbers is divisible by 9 ?
(a) 234
(b) 334
(c) 444
(d) 434.

Answer

Answer: (a) 234
Hint:
2 + 3 + 4 = 9 is divisible by 9.

Question 30.
Which of the following numbers is not divisible by 9 ?
(a) 135
(b) 351
(c) 513
(d) 247.

Answer

Answer: (d) 247
Hint:
2 + 4 + 7 = 13 is not divisible by 9.

Question 31.
Which of the following numbers is divisible by 5 ?
(a) 125
(b) 127
(c) 731
(d) 339.

Answer

Answer: (a) 125
Hint:
One’s digit of 125 is 5.

Question 32.
Which of the following numbers is divisible by 5 ?
(a) 120
(b) 233
(c) 348
(d) 447.

Answer

Answer: (a) 120
Hint:
One’s digit of 120 is 0.

Question 33.
Which of the following numbers is not divisible by 5 ?
(a) 120
(b) 235
(c) 355
(d) 477.

Answer

Answer: (d) 477
Hint:
In 477, one’s digit is neither 0 nor 5.

Question 34.
Which of the following numbers is divisible by 10?
(a) 40
(b) 35
(c) 57
(d) 69.

Answer

Answer: (a) 40
Hint:
In 40, one’s digit is 0.

Question 35.
Which of the following numbers is divisible by 10?
(a) 235
(b) 3400
(c) 278
(d) 1277.

Answer

Answer: (b) 3400
Hint:
In 3400, one’s digit is 0.

Question 36.
Which of the following numbers is not divisible by 10?
(a) 120
(b) 340
(c) 760
(d) 1246.

Answer

Answer: (d) 1246
Hint:
In 1246, one’s digit is not 0.

Question 37.
The usual form of 100 × 7 + 10 × 1 + 8 is:
(a) 108
(b) 708
(c) 718
(d) 170

Answer

Answer: (c) 718
Hint:
100 × 7 + 10 × 1 + 8
= 700 + 10 + 8
= 718

Question 38.
Which of the following numbers are not divisible by 5?
(a) 20
(b) 125
(c) 122
(d) 200

Answer

Answer: (c) 122
Hint:
To be completely divisible by 5, the number should have 0 or 5 at it’s one’s digit place.

Question 39.
Which of the following numbers are divisible by 10?
(a) 99
(b) 45
(c) 110
(d) 75

Answer

Answer: (c) 110
Hint:
If any number has 0 at its one’s digit place, then it is divisible by 10.
Hence, 110/10 = 11

Question 40.
Which of the following are divisible by 2?
(a) 98
(b) 99
(c) 101
(d) 121

Answer

Answer: (a) 98
Hint:
If one’s digit of any number is even number, then the number is completely divisible by 2.
Hence, 98/2 = 49

Question 41.
If a number is divisible 9, then it is divisible by:
(a) 6
(b) 7
(c) 3
(d) 11

Answer

Answer: (c) 3
Hint:
If 99 is divisible by 9 then it is also divisible by 3.
99/9 = 11 and 99/3 = 33

Question 42.
If the three digit number 24x is divisible by 9, the value of x is:
(a) 3
(b) 7
(c) 1
(d) None of the above

Answer

Answer: (a) 3
Hint:
If 24x is divisible by 9, then:
2 + 4 + x = 6 + x is also divisible by 9.
It is possible only when, 6 + x = 9, 18, …
Since x is single digit, therefore, 6 + 3 = 9
x = 3

Question 43.
The number 2146587 is divisible by:
(a) 7
(b) 3
(c) 11
(d) None of the above

Answer

Answer: (b) 3
Hint:
2146587 = 2 + 1 + 4 + 6 + 5 + 8 + 7 = 33
Since, 33 is divisible by 3, hence 2146587 is divisible by 3.

Question 44.
The general form of abc is:
(a) 100a + 10b + c
(b) 100b + 10c + a
(c) 100c + 10a + b
(d) None of the above

Answer

Answer: (a) 100a + 10b + c

Question 45.
The generalised form of 129 is:
(a) 100 + 90 + 2
(b) 100 + 20 + 9
(c) 100 + 2 + 9
(d) None of the above

Answer

Answer: (b) 100 + 20 + 9

Question 46.
The number 15287 is divisible by:
(a) 3
(b) 7
(c) 9
(d) None of the above

Answer

Answer: (d) None of the above

We hope the given NCERT MCQ Questions for Class 8 Maths Chapter 16 Playing with Numbers with Answers Pdf free download will help you. If you have any queries regarding Playing with Numbers CBSE Class 8 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

February 25, 2023February 24, 2023 by Veer

Check the below NCERT MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Factorisation Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-8-maths-chapter-14-with-answers/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 14 Factorisation for better exam preparation and score more marks.

Factorisation Class 8 MCQs Questions with Answers

Factorisation Class 8 MCQ Question 1.
The common factor of x²y² and x³y³ is
(a) x²y²
(b) x³y³
(c) x²y³
(d) x³y².

Answer

Answer: (a) x²y²
Hint:
x²y² = x × x × y × y
x³y³ = x × x × x × y × y × y

Class 8 Maths Chapter 14 MCQ Question 2.
The common factor of x³y² and x⁴y is
(a) x⁴³y²
(b) x⁴y
(c) x³y²
(d) x³y.

Answer

Answer: (d) x³y.
Hint:
x³y² = x × x × x × y × y
x⁴y = x × x × x × x × y

Class 8 Factorisation MCQ Question 3.
The common factor of a² m⁴ and a⁴m² is
(a) a⁴m⁴
(b) a²m²
(c) a²m⁴
(d) a⁴m²

Answer

Answer: (b) a²m²
Hint:
a²m⁴ = a × a × m × m × m × m
a⁴m² = a × a × a × a × m × m

MCQ Of Factorisation Class 8 Question 4.
The common factor of p3q4 and p4q3 is
(a) p⁴q⁴
(b) p⁴q³
(c) p³q³
(d) p³q⁴

Answer

Answer: (c) p³q³
Hint:
p³q⁴ = p × p × p × q × q × q × q
p⁴q³ = p × p × p × p × q × q × q

MCQ On Factorisation Class 8 Question 5.
The common factor 12y and 30 is
(a) 6
(b) 12
(c) 30
(d) 6y.

Answer

Answer: (a) 6
Hint:
12y = 2 × 2 × 3 × y
30 = 2 × 3 × 5.

MCQ On Factorization For Class 8 Question 6.
The common factor of 2x, 3x³, 4 is
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (a) 1
Hint:
2x = 2 × x
3x³ = 3 × x × x × x
4 = 2 × 2.

Factorization Class 8 MCQ Question 7.
The common factor of 10ab, 30bc, 50ca is
(a) 10
(b) 30
(c) 50
(d) abc.

Answer

Answer: (a) 10
Hint:
10ab = 2 × 5 × a × b
30bc = 2 × 3 × 5 × b × c
50ca = 2 × 5 × 5 × c × a.

MCQ Questions For Class 8 Maths Factorisation Question 8.
The common factor of 14a²b and 35a⁴b² is
(a) a⁴b²
(b) 35a⁴b²
(c) 14a²b
(d) 7a²b.

Answer

Answer: (d) 7a²b.
Hint:
14a²b = 2 × 7 × a × a × b
35a⁴b² = 5 × 7 × a × a × a × a × b × b.

Factorisation Class 8 Extra Questions Question 9.
The common factor of 8a²b⁴c², 12a⁴bc⁴ and 20a³b⁴ is
(a) a⁴b⁴
(b) a²b²
(c) 4a²b²
(d) 4a²b.

Answer

Answer: (d) 4a²b.
Hint:
8a²b⁴c² = 2 × 2 × 2 × a × a × b × b × b × b × c × c
12a⁴bc² = 2 × 2 × 3 × a × a × a × a × b × c × c
20a³b⁴ = 2 × 2 × 5 × a × a × a × b × b × b × b

Class 8 Maths Factorisation MCQ Question 10.
The common factor of 6a³b⁴c², 21a²b and 15a³ is
(a) 3a²
(b) 3a³
(c) 6a³
(d) 6a²

Answer

Answer: (a) 3a²
Hint:
6a³b⁴c² = 2 × 3 × a × a × a × b × b × b × b × c × c
21a²b = 3 × 7 × a × a × a
15a³64c4 = 3 × 5 × a × a × a

MCQ Factorisation Class 8 Question 11.
The common factor of 2a²b⁴c², 8a⁴b³c⁴ and 6a³b⁴c² is
(a) 2a²b³c²
(b) 6a²b³c²
(c) 8a²b³c²
(d) a⁴b⁴c⁴.

Answer

Answer: (a) 2a²b³c²
Hint:
6a²b⁴c² = 2 × a × a × b × b × b × b × c × c × c × c
8a⁴b³c⁴ = 2 × 2 × 2 × a × a × a × a × b × b × b × c × c × c × c
6a³b⁴c² = 2 × 3 × a × a × a × b × b × b × b × c × c.

Factorisation MCQ Class 8 Question 12.
The common factor of 3a²b⁴c², 12b²c⁴ and 15a³b⁴c⁴ is
(a) b⁴c⁴
(b) 3b²c²
(c) 15b²c⁴
(d) 12b²c⁴

Answer

Answer: (b) 3b²c²
Hint:
3a²b⁴c² = 3 × a × a × b × b × b × b × c × c
12b²c⁴ = 2 × 2 × 3 × b × b × c × c × c × c.
15a³b⁴c⁴ = 3 × 5 × a × a × a × b × b × b × b × c × c × c × c.

Factorisation Of Algebraic Expressions Class 8 MCQ Question 13.
The common factor of 24x³y⁴, 36x⁴z⁴ and 48x³y²z is
(a) 12x³
(b) 24x³
(c) 36x³
(d)48x³

Answer

Answer: (a) 12x³
Hint:
24x³y⁴ = 2 × 2 × 2 × 3 × x × x × x × y × y × y × y.
36x⁴z⁴ = 2 × 2 × 3 × 3 × x × x × x × x × z × z × z × z.
48x³y²z = 2 × 2 × 2 × 2 × 3 × x × x × x × y × y × z

Class 8 Maths Ch 14 MCQ Question 14.
The common factor of 72x³y⁴z⁴, 120z²d⁴x⁴ and 96y³z⁴d⁴ is
(a) 96z³
(b) 120z³
(c) 72z³
(d) 24z².

Answer

Answer: (d) 24z²
Hint:
72x³y⁴z⁴ = 2 × 2 × 2 × 3 × 3 × x × x × x × y × y × y × y × z × z × z × z.
120z²d⁴x⁴ = 2 × 2 × 2 × 3 × 5 × z × z × d × d × d × d × x × x × x × x
96y³z⁴d⁴ = 2 × 2 × 2 × 2 × 2 × 3 × y × y × z × z × z × z × d × d × d × d

MCQ Questions On Factorisation Class 8 Question 15.
The common factor of 36p²q³x⁴, 48pq³x² and 54p³q³x⁴ is
(a) 6pq³x²
(b) 36pq³x²
(c) 54pq³x²
(d) 48pq³x²

Answer

Answer: (a) 6pq³x²
Hint:
36p²q³x⁴ = 2 × 2 × 3 × 3 × p × p × q × q × q × x × x × x × x
48pq³x² = 2 × 2 × 2 × 2 × 3 × p × q × q × q × x × x
p³q³x⁴ = p × p × p × q × q × q × x × x × x × x

Question 16.
The factorisation of 12a²b + 15ab² is
(a) 3ab (4a + 5b)
(b) 3a²b (4a + 5b)
(c) 3ab² (4a + 5b)
(d) 3a²b² (4a + 5b).

Answer

Answer: (a) 3ab (4a + 5b)
Hint:
12a²b + 15ab² = 3ab(4a + 5b).

Question 17.
The factorisation of 10x² – 18x³ + 14x⁴ is
(a) 2x² (7x² – 9x + 5)
(b) 2x (7x² – 9x + 5)
(c) 2 (7x² – 9x + 5)
(d) 2x³ (7x² – 9x + 5).

Answer

Answer: (a) 2x² (7x² – 9x + 5)
Hint:
10x² – 18x³ + 14x³ = 2x²(5 – 9x + 7x²).

Question 18.
The factorisation of 6x – 42 is
(a) 6(x – 7)
(b) 3(x – 7)
(c) 2(x – 7)
(d) 6(x + 7)

Answer

Answer: (a) 6(x – 7)
Hint:
6x – 42 = 6(x – 7)

Question 19.
The factorisation of 6x + 12y is
(a) 6(x + 2y)
(b) 3(x + 4y)
(c) 2(3x + 12y)
(d) none of these.

Answer

Answer: (a) 6(x + 2y)
Hint:
6x + 12y = 6(x + 2y)

Question 20.
The factorisation of 28a³b⁵ – 42a⁵b³ is
(а) 14a³b³(2b² – 3a²)
(b) 14a²b³(2b² – 3a²)
(c) 14a³b²(2b² – 3a²)
(d) none of these.

Answer

Answer: (а) 14a³b³(2b² – 3a²)
Hint:
28a³ b⁵ – 42a⁵b³ = 14a³b³(2b² – 3a²)

Question 21.
The factorisation of a³ + a²b + ab² is
(a) a(a² + ab + b²)
(b) 6(a² + ab + b²)
(c) ab(a² + ab + b²)
(d) none of these.

Answer

Answer: (a) a(a² + ab + b²)
Hint:
a³ + a²b + ab² = a(a² + ab + b²)

Question 22.
The factorisation of x²yz + xy²z + xyz² is
(a) xyz(x + y + z)
(b) x²yz(x + y + z)
(c) xy²z(x + y + z)
(d) xyz²(x + y + z).

Answer

Answer: (a) xyz(x + y + z)
Hint:
x²yz + xy²z + xyz² = xyz (x + y + z)

Question 23.
The factorisation of ax²y + bxy² + cxyz is
(a) xy(ax + by + cz)
(b) axy(ax + by + cz)
(c) bxy(ax + by + cz)
(d) cxy(ax + by + cz).

Answer

Answer: (a) xy(ax + by + cz)
Hint:
ax²y + bxy² + cxyz = xy (ax + by + cz)

Question 24.
The factorisation of
a (x + y + z) + b(x + y + z) + c(x + y + z) is
(a) (a + b + c)(x + y + z)
(b) (ab + bc + ca)(x + y + z)
(c) (xy + yz + zx)(a + b + c)
(d) none of these.

Answer

Answer: (a) (a + b + c)(x + y + z)
Hint:
a(x + y + z) + b(x + y + z) + c(x + y + z)
= (x + y + z) (a + b + c).

Question 25.
The factorisation of 6xy – 4y + 6 – 9x is
(a) (3x – 2)(2y – 3)
(b) (3x + 2)(2y – 3)
(c) (3x – 2)(2y + 3)
(d) (3x + 2)(2y + 3).

Answer

Answer: (a) (3x – 2)(2y – 3)
Hint:
6xy – 4y + 6 – 9x
= 2y(3x – 2) – 3(- 2 + 3x)
= (3x – 2)(2y – 3)

Question 26.
The factorisation of x² + xy + 2x + 2y is
(a) (x + 2)(x + y)
(b) (x + 2)(x – y)
(c) (x – 2)(x + y)
(d) (x – 2)(x – y).

Answer

Answer: (a) (x + 2)(x + y)
Hint:
x² + xy + 2x + 2y
= x(x + y) + 2(x + y)
= (x + 2) (x + y).

Question 27.
The factorisation of ax + bx – ay – by is
(a) (x – y)(a + b)
(b) (x + y)(a + b)
(c) (x – y)(a – b)
(d) (x + y)(a – b).

Answer

Answer: (a) (x – y)(a + b)
Hint:
ax + bx – ay – by
= x(a + b) – y(a + b)
= (x – y)(a + b).

Question 28.
The factorisation of ab – a – b + 1 is
(a) (a – 1)(b – 1)
(b) (a + 1)(b + 1)
(c) (a – 1)(b + 1)
(d) (a + 1)(b – 1).

Answer

Answer: (a) (a – 1)(b – 1)
Hint:
ab – a – b + 1
= a(b – 1) – 1(b – 1)
= (a – 1)(b – 1).

Question 29.
The factorisation of
x² + x + xy + y + zx + z is
(a) (x + y + z)(x + 1)
(b) (x + y + z)(x + y)
(c) (x + y + z)(y + z)
(d) (x + y + z)(z + x).

Answer

Answer: (a) (x + y + z)(x + 1)
Hint:
x² + x + xy + y + zx + z
= x(x + 1) + y(x + 1) + z(x + 1)
= (x + 1)(x + y + z).

Question 30.
The factorisation of x²y² + xy + xy²z + yz + x²yz + xz is
(a) (xy + yz + zx)(xy + 1)
(b) (xy + yz + zx)(yz + 1)
(c) (xy + yz + zx)(zx + 1)
(d) none of these.

Answer

Answer: (a) (xy + yz + zx)(xy + 1)
Hint:
x²y² + xy + xy²z + yz + x²yz + xz
= xy(xy + 1) + yz(xy + 1) + zx(xy + 1)
= (xy + yz + zx)(xy + 1).

Question 31.
The factorisation of x² + 8x + 16 is
(a) (x + 2)²
(b) (x + 4)²
(c) (x – 2)²
(d) (x – A)²

Answer

Answer: (b) (x + 4)²
Hint:
x² + 8x + 16
= (x)² + 2 (x)(4) + (4)²
= (x + 4)².

Question 32.
The factorisation of 4y² – 12y + 9 is
(a) (2y + 3)²
(b) (2y – 3)²
(c) (3y + 2)²
(d) (3y – 2)²

Answer

Answer: (b) (2y – 3)²
Hint:
4y² – 12y + 9
= (2y)² – 2(2y)(3) + (3)²
= (2y – 3)²

Question 33.
The factorisation of 49p² – 36 is
(a) (7p + 6)(7p – 6)
(b) (6p + 7)(6p – 7)
(c) (7p + 6)²
(d) (7p – 6)²

Answer

Answer: (a) (7p + 6)(7p – 6)
Hint:
49p² – 36
= (7p)² – (6)² = (7p – 6)(7p + 6).

Question 34.
The factorisation of y² – 7y + 12 is
(a) (y + 3)(y + 4)
(b) (y + 3)(y – 4)
(c) (y – 3)(y + 4)
(d) (y – 3)(y – 4).

Answer

Answer: (d) (y – 3)(y – 4)
Hint:
y² – 7y + 12
= y² – 3y – 4y + 12
= y(y – 3) – 4(y – 3)
= (y – 3)(y – 4).

Question 35.
The factorisation of z² – 4z – 12 is
(a) (z + 6)(z + 2)
(b) (z – 6)(z – 2)
(c) (z – 6)(z + 2)
(d) (z + 6)(z – 2).

Answer

Answer: (c) (z – 6)(z + 2)
Hint:
z³ – 4z – 12
= z² – 6z + 2z — 12
= z(z – 6) + 2(z – 6)
= (z – 6)(z + 2).

Question 36.
The factorisation of am² + bm² + bn² + an² is
(a) (a + b)(m² – n²)
(b) (a + b)(m² + n²)
(c) (a – b)(m² + n²)
(d) (a – b)(m² – n²).

Answer

Answer: (b) (a + b)(m² + n²)
Hint:
am² + bm² + bn² + an²
= m²(a + b) + n²(b + a)
= (a + b)(m² + n²).

Question 37.
The factorisation of (lm + l) + m + 1 is
(a) (l + 1)(m + 1)
(6) (l – 1)(m – 1)
(c) (l + 1)(m – 1)
(d) (l – 1)(m + 1).

Answer

Answer: (a) (l + 1)(m + 1)
Hint:
lm + l + m + 1
= l(m + 1) + 1 (m + 1)
= (l + 1 )(m + 1).

Question 38.
The factorisation of (l + m)² – 4lm is
(a) (l – m)²
(b) (l + m – 2)²
(c) (l + m + 2)²
(d) none of these.

Answer

Answer: (a) (l – m)²
Hint:
(1 + m)² – 4lm
= l² + m² + 2lm – 4lm
= l² – 2lm + m² = (l – m)²

Question 39.
The factorisation of
1 + p + q + r + pq + qr + pr + pqr is
(a) (1 + p)(1 + q)(1 + r)
(b) (1 – p)(1 – q)(1 – r)
(c) (1 – p)(1 – q)(1 + r)
(d) (1 + p)(1 – q)(1 – r).

Answer

Answer: (a) (1 + p)(1 + q)(1 + r)
Hint:
1 + p + q + r + pq + qr+pr + pqr
= 1 + p + q + pq + r(1 + p + q + pq)
= (1 + r)(1 + p + q + pq)
= (1 + r)(1 + p)(1 + q).

Question 40.
The value of
0.645 × 0.645 + 2 × 0.645 × 0.355 + 0.355 × 0.355 is
(a) 1
(b) 0
(c) -1
(d) 2.

Answer

Answer: (a) 1
Hint:
Value = (0.645 + 0.355)² = (1)² = 1.

Question 41.
The factorisation 1 + 16x + 64x² is
(a) (1 – 8x)²
(b) (1 + 8x)²
(c) (8 – x)²
(d) (8 + x)²

Answer

Answer: (b) (1 + 8x)²
Hint:
1 + 16x + 64x²
= (1)2 + 2(1) (8x) + (8x)² = (1 + 8x)²

Question 42.
The factorisation x² + x + \(\frac{1}{4}\) is
(a) (\(\frac{x}{2}\) – 1)²
(b) (\(\frac{x}{2}\) + 1)²
(c) (x + \(\frac{1}{2}\))²
(d) (x – \(\frac{1}{2}\))²

Answer

Answer: (c) (x + \(\frac{1}{2}\))²
Hint:
x² + x + \(\frac{1}{4}\) = x² + 2(x)(\(\frac{1}{2}\)) + (\(\frac{1}{2}\))²
= (x + \(\frac{1}{2}\))²

Question 43.
The value of 99² is
(a) (90)² + 2(90)(9) + (9)²
(b) (90)² – 2(90)(9) + (9)²
(c) (90)² + (9)²
(d) none of these.

Answer

Answer: (a) (90)² + 2(90)(9) + (9)²
Hint:
99² = (90 + 9)²
= (90)² + 2(90)(9) + (9)²

Question 44.
The value of 49² is
(a) (50)² – 2(50)(1) + (1)²
(b) (50)² + 2 (50) (1) + (1)²
(c) (50)² – (1)²
(d) (50)² + (1)²

Answer

Answer: (a) (50)² – 2(50)(1) + (1)²
Hint:
49² = (50 – 1)²
= (50)² – 2(50)(1) + (1)²

Question 45.
The factorisation of (\(\frac{x^2}{y^2}\) -2+\(\frac{y^2}{x^2}\)) x ≠ 0, y ≠ 0 is
(a) (\(\frac{x}{y}\)+\(\frac{y}{x}\))²
(b) (\(\frac{x}{y}\)–\(\frac{y}{x}\))²
(c) (\(\frac{x}{y}\)-1)²
(d) (\(\frac{x}{y}\)+1)²

Answer

Answer: (b) (\(\frac{x}{y}\)–\(\frac{y}{x}\))²
Hint:
\(\frac{x^2}{y^2}\) – 2 + \(\frac{y^2}{x^2}\)
= (\(\frac{x}{y}\))² – 2(\(\frac{x}{y}\))(\(\frac{y}{x}\)) + (\(\frac{y}{x}\))²
= (\(\frac{x}{y}\) – \(\frac{y}{x}\))²

Question 46.
The value of \(\frac{0.73×0.73×-0.27×0.27}{0.73-0.27}\) is
(a) 1
(b) 0
(c) 0.73
(d) 0.27.

Answer

Answer: (a) 1
Hint:
Value = \(\frac{(0.73+0.27)(0.73-0.27)}{0.73-0.27}\) = 1

Question 47.
The factorisation of x² – 9 is
(a) (x – 3)²
(b) (x + 3)²
(c) (x + 3)(x – 3)
(d) none of these.

Answer

Answer: (c) (x + 3)(x – 3)
Hint:
x² – 9 = (x)² – (3)² = (x – 3) (x + 3).

Question 48.
The factorisation of 36x²y² – 1 is
(a) (6xy – 1)(6xy + 1)
(b) (6xy – 1)²
(c) (6xy + 1)²
(d) (6 + xy)²

Answer

Answer: (a) (6xy – 1)(6xy + 1)
Hint:
36x²y² – 1 = (6xy)² – (1)²
= (6xy – 1)(6xy + 1).

Question 49.
The value of \(\frac{0.564×0.564×-0.436×0.436}{0.564-0.436}\) is
(a) 0
(b) 1
(c) -1
(d) none of these.

Answer

Answer: (b) 1
Hint:
Value = \(\frac{(0.564+0.436)(0.564-0.436)}{0.564-0.436}\) = 1

Question 50.
The value of (0.68)² – (0.32)² is
(a) -1
(b) 0
(c) 1
(d) 0.36.

Answer

Answer: (d) 0.36.
Hint:
Value = (0.68 + 0.32) (0.68 – 0.32) = 0.36.

Question 51.
The factorisation of 3x² + 10x + 8 is
(a) (3x + 4)(x + 2)
(b) (3x – 4)(x – 2)
(c) (3x + 4)(x – 2)
(d) (3x – 4)(x + 2).

Answer

Answer: (a) (3x + 4)(x + 2)
Hint:
3x² + 10x + 8 = 3x² + 6x + 4x + 8
= 3x(x + 2) + 4(x + 2)
= (x + 2)(3x + 4).

Question 52.
The factorisation of 3x² – 16x + 16 is
(a) (x – 4)(3x – 4)
(b) (x + 4)(3x + 4)
(c) (x – 4)(3x + 4)
(d) (x + 4)(3x – 4).

Answer

Answer: (a) (x – 4)(3x – 4)
Hint:
3x² – 16x + 16
= 3x² – 12x – 4x + 16
= 3x(x – 4) – 4(x – 4)
= (x – 4) (3x – 4).

Question 53.
The factorisation of 6x² – 5x – 6 is
(a) (2x – 3)(3x + 2)
(b) (2x + 3)(3x + 2)
(c) (2x – 3)(3x – 2)
(d) (2x + 3)(3x – 2).

Answer

Answer: (a) (2x – 3)(3x + 2)
Hint:
6x² – 5x – 6
= 6x² – 9x + 4x – 6
= 3x(2x – 3) + 2(2x – 3)
= (2x – 3)(3x + 2).

Question 54.
The factorisation of 6 – x – 2x² is
(a) (2 + x)(3 – 2x)
(b) (2 + x)(3 + 2x)
(c) (2 – x)(3 – 2x)
(d) (2 – x)(3 + 2x).

Answer

Answer: (a) (2 + x)(3 – 2x)
Hint:
6 – x – 2x²
= 6 + 3x – 4x – 2x²
= 3(2 + x) – 2x (2 + x)
= (2 + x)(3 – 2x).

Question 55.
If x² – x – 42 = (x + k)(x + 6), then k =
(a) 6
(b) -6
(c) 7
(d) -7.

Answer

Answer: (d) -7
Hint:
x² – x – 42
= x² – 7x + 6x – 42
= x(x – 7) + 6(x – 7)
= (x – 7)(x + 6) ∴ k = – 7.

Question 56.
The value of 3.5 × 3.5 – 2.5 × 2.5 is
(a) -6
(b) 6
(c) 60
(d) 1.

Answer

Answer: (b) 6
Hint:
Value = (3.5 + 2.5)(3.5 – 2.5) = 6.

Question 57.
If (x – \(\frac{1}{x}\))² = x² + a + \(\frac{1}{x^2}\) then a =
(a) -2
(b) 2
(c) 2x
(d) -2x

Answer

Answer: (a) -2
Hint:
(x – \(\frac{1}{x}\))² = x² – 2 + \(\frac{1}{x^2}\) ∴ a = -2.

Question 58.
If x = 2, y = -1 then the value of x² -+ 4xy + 4y² is
(a) 0
(b) 1
(c) -1
(d) 2

Answer

Answer: (a) 0
Hint:
x² + 4xy + 4y² = (x)² + 2(x)(2y) + (2y)²
= (x + 2y)² = {2 + 2(- 1)}² = 0.

Question 59.
The quotient of 28x² + 14x is
(a) 2
(b) 2x
(c) x
(d) x²

Answer

Answer: (b) 2x
Hint:
\(\frac{28x^21}{14x}\) = \(\frac{2×2×7×x×x}{2×7×x}\) = 2x

Question 60.
The quotient of 12a⁸b⁸ + (- a⁶b⁶) is
(a) 3a²b²
(6) 3a²b
(c) 3ab²
(d) -3a²b²

Answer

Answer: (d) -3a²b²
Hint:
MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers
= -3a²b²

Question 61.
The factorisation of 12a²b +15ab² gives:
(a) 3ab(4ab + 5)
(b) 3ab(4a + 5(b)
(c) 3a(4a + 5(b)
(d) 3b(4a + 5(b)

Answer

Answer: (b) 3ab(4a + 5(b)
Hint:
12a²b+15ab²
12a²b = 3 x 4 x a x a x b
15ab² = 3 x 5 x a x b x b
The common factors are 3ab.
12a²b + 15ab² = 3ab(4a +5b)

Question 62.
The factorisation of 12x + 36 is
(a) 12(x + 3)
(b) 12(3x)
(c) 12(3x + 1)
(d) x(12 + 36x)

Answer

Answer: (a) 12(x + 3)
Hint:
12x + 36
12 x + 12 . 3
= 12(x + 3)

Question 63.
On factorising 14pq + 35pqr, we get:
(a) pq(14 + 35r)
(b) p(14q + 35qr)
(c) q(14p + 35pr)
(d) 7pq(2 + 5r)

Answer

Answer: (d) 7pq(2 + 5r)
Hint:
14pq + 35pqr
= 2.7.p.q + 5.7.p.q.r
= 7pq(2 + 5r)

Question 64.
The factors of 6xy – 4y + 6 – 9x are:
(a) (3x + 2) (2y + 3)
(b) (3x – 2) (2y – 3)
(c) (3x – 2) (2y + 3)
(d) (3x + 2) (2y – 3)

Answer

Answer: (b) (3x – 2) (2y – 3)
Hint:
6xy – 4y + 6 – 9x
= 6xy – 4y – 9x + 6
= 2y (3x – 2) – 3 (3x – 2)
= (3x – 2) (2y – 3)

Question 65.
The factors of x² + xy + 8x + 8y are:
(a) (x +y) (x + 8)
(b) (2x + y) (x + 8)
(c) (x + 2y) (x + 8)
(d) (x + y) (2x + 8)

Answer

Answer: (a) (x +y) (x + 8)
Hint:
x² + xy + 8x + 8y
= x(x + y) + 8(x + y)
=(x + y)(x + 8)

Question 66.
The factors of 4y² – 12y + 9 is:
(a) (2y + 3)²
(b) (2y – 3)²
(c) (2y – 3)(2y + 3)
(d) None of the above

Answer

Answer: (b) (2y-3)²
Hint:
4y² – 12y + 9
4y² = (2y)² & 9 = 3² & 12y = 2.3.2y
4y² – 12y + 9 = (2y)² – 2 × 3 × (2y) + (3)²
= (2y – 3)² [By algebraic identities: (a-(b)² = a²+b²-2ab

Question 67.
The factors of 49p² – 36 are:
(a) (7p + 6)²
(b) (7p – 6)²
(c) (7p – 6 ) ( 7p + 6)
(d) None of the above

Answer

Answer: (c) (7p – 6 ) ( 7p + 6)
Hint:
49p² – 36 = (7p)² – ( 6 )² = (7p – 6 ) ( 7p + 6)

Question 68.
The factors of m² – 256 are:
(a) (m + 4)²
(b) (m – 4)²
(c) (m – 4) (m+4)
(d) None of the above

Answer

Answer: (d) None of the above
Hint:
m⁴ = (m²)² and 256 = (16)²
m⁴ – 256 = (m²)² – (16)² = (m² – 16) (m² + 16)
m² – 16 = m² – 4² = (m – 4) (m + 4)
m⁴ – 256 = (m – 4) (m + 4) (m² + 16)

Question 69.
When we factorise x² + 5x + 6, then we get:
(a) (x + 2) (x + 3)
(b) (x – 2) (x – 3)
(c) (x × 2) + (x × 3)
(d) (x × 2) – (x × 3)

Answer

Answer: (a) (x + 2) (x + 3)
Hint:
The factors of a form:
(x + (a) (x + (b) = x² + (a + (b) x + ab
x²+ 5x + 6
a + b = 5 and ab = 6
x²+ 5x+6 = (x + 2) (x + 3)

Question 70.
The factors of 3m² + 9m + 6 are:
(a) (m + 1) (m + 2)
(b) 3(m + 1) (m + 2)
(c) 6(m + 1) (m + 2)
(d) 9(m + 1) (m + 2)

Answer

Answer: (b) 3(m + 1) (m + 2)
Hint:
3m² + 9m + 6 = 3(m² + 3m + 2)
= 3 [m² + m + 2m + 2]
= 3 [m(m + 1)+ 2( m + 1)]
= 3 [(m + 1) (m + 2)]

We hope the given NCERT MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers Pdf free download will help you. If you have any queries regarding Factorisation CBSE Class 8 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 8 Maths Chapter 12 Exponents and Powers with Answers

February 25, 2023February 24, 2023 by Veer

Check the below NCERT MCQ Questions for Class 8 Maths Chapter 12 Exponents and Powers with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Exponents and Powers Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-8-maths-chapter-12-with-answers/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers for better exam preparation and score more marks.

Exponents and Powers Class 8 MCQs Questions with Answers

Exponents And Powers Class 8 MCQ Question 1.
a^m x a^m is equal to
(a) a^m+n
(b) a^m-n
(c) a^mn
(d) a^n-m

Answer

Answer: (a) a^m+n
Hint:
Formula

MCQ On Exponents And Powers For Class 8 Question 2.
a^m ÷ aⁿ is equal to
(a) a^m-n
(b) a^m+n
(c) a^mn
(d) a^n-m

Answer

Answer: (a) a^m-n
Hint:
Formula

Class 8 Maths Chapter 12 MCQ Question 3.
(a^m)ⁿ is equal to
(a) a^m+n
(b) a^m-n
(c) a^mn
(d) a^n-m

Answer

Answer: (c) a^mn
Hint:
Formula

Class 8 Exponents And Powers MCQ Question 4.
a^m × b^m is equal to
(a) (ab)^m
(b) (ab)^-m
(c) a^m b
(d) ab^m

Answer

Answer: (a) (ab)^m
Hint:
Formula

MCQ Of Exponents And Powers Class 8 Question 5.
a⁰ is equal to
(a) 0
(b) 1
(c) -1
(d) a.

Answer

Answer: (b) 1
Hint:
Formula

Exponents And Powers MCQ Class 8 Question 6.
\(\frac{a^m}{b^m}\) is equal to bm
(a) (\(\frac{a}{b}\))^m
(b) (\(\frac{b}{a}\))^m
(c) (\(\frac{a^m}{b}\))^m
(d) (\(\frac{a}{b^m}\))^m

Answer

Answer: (a) (\(\frac{a}{b}\))^m
Hint:
Formula

MCQ Questions On Exponents And Powers For Class 8 Question 7.
2 × 2 × 2 × 2 × 2 is equal to
(a) 2⁴
(b) 2³
(c) 2²
(d) 2⁵

Answer

Answer: (d) 2⁵
Hint:
Formula

MCQ Questions For Class 8 Maths Exponents And Powers Question 8.
In 10², the exponent is
(a) 1
(b) 2
(c) 10
(d) 1.

Answer

Answer: (b) 2
Hint:
Definition of exponent

Class 8 Maths Exponents And Powers MCQ Question 9.
In 10² the base is
(a) 1
(b) 0
(c) 10
(d) 100.

Answer

Answer: (c) 10
Hint:
Definition of base

MCQ Exponents And Powers Class 8 Question 10.
10^-1 is equal to
(a) 10
(b) -1
(c) \(\frac{1}{10}\)
(d) –\(\frac{1}{10}\)

Answer

Answer: (c) \(\frac{1}{10}\)
Hint:
10^-1 = \(\frac{1}{10^1}\) = \(\frac{1}{10}\)

MCQs On Exponents And Powers Class 8 Question 11.
The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 23

Answer

Answer: (d) 23
Hint:
2^-3. 2³ = 2^-3+3 = 2⁰ = 1

Class 8 Maths Ch 12 MCQ Question 12.
The multiplicative inverse of 10⁵ is
(a) 5
(b) 10
(c) 10^-5
(d) 10⁵.

Answer

Answer: (c) 10^-5
Hint:
10⁵. 10^-5 = 2^5-5 = 10⁰ = 1

Exponents And Powers Class 8 MCQ Pdf Question 13.
The multiplicative inverse of \(\frac{1}{2^2}\) is 22
(a) 2⁵
(b) 2²
(c) 2
(d) 1.

Answer

Answer: (b) 2²
Hint:
\(\frac{1}{2^2}\) = 2² = 1

MCQ Questions For Class 8 Maths Chapter 12 Question 14.
The multiplicative inverse of 10¹⁰ is
(a) 10
(b) \(\frac{1}{10}\)
(c) 10^-10
(d) 10¹⁰.

Answer

Answer: (d) 10¹⁰
Hint:
10^-10.10¹⁰ = 10^-10+10 = 10⁰ = 1

Exponents And Powers Class 8 MCQ With Answers Question 15.
The multiplicative inverse of am is
(a) a
(b) m
(c) a^m
(d) a^-m

Answer

Answer: (d) a^-m
Hint:
Definition of multiplicative inverse

MCQ Questions On Exponents For Class 8 With Answers Question 16.
5³ × 5^-1 is equal to
(a) 5
(b) 5³
(c) 5^-1
(d) 5²

Answer

Answer: (d) 5²
Hint:
5³ × 5^-1 = 5^3-1 = 5²

Class 8 Maths Chapter Exponents And Powers MCQ Question 17.
(- 2)^-5 x (-2)⁶ is equal to
(a) 2
(b) -2
(c) -5
(d) 6.

Answer

Answer: (b) -2
Hint:
(-2)^-5 × (-2)⁶ = (-2)^-5+6 = (-2)¹ = -2

Exponents And Powers Class 8 Extra Questions MCQ Question 18.
3² × 3^-4 × 3⁵ is equal to
(a) 3
(b) 3²
(c) 3³
(d) 3⁵

Answer

Answer: (c) 3³
Hint:
3² × 3^-4 × 3⁵ = 3^2-4+5 = 3³

MCQ For Exponents And Powers Class 8 Question 19.
(-2)^-2 is equal to
(a) \(\frac{1}{4}\)
(b) \(\frac{1}{2}\)
(c) –\(\frac{1}{2}\)
(d) –\(\frac{1}{4}\)

Answer

Answer: (a) \(\frac{1}{4}\)
Hint:
(-2)^-2 = \(\frac{1}{(-2)^2}\) = \(\frac{1}{4}\)

Exponents And Powers Class 8 MCQ Questions Question 20.
(\(\frac{1}{2}\))^-4 is equal to
(a) 2
(b) 2^-4
(c) 1
(d) 2^-4

Answer

Answer: (b) 2^-4
Hint:
(\(\frac{1}{2}\))^-4 = \(\frac{(1)^{-4}}{(2)^{-4}}\) = \(\frac{1}{(2)^{-4}}\) = 2⁴

Exponents And Radicals Class 8 MCQ Question 21.
(2° + 4^-1) × 2² is equal to
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (d) 5
Hint:
(2⁰ + 4^-1) × 2² = (1 + \(\frac{1}{4}\)) × 4 = \(\frac{5}{4}\) × 4 = 5

Question 22.
(2^-1 + 3^-1 + 5^-1)⁰ is equal to
(a) 2
(b) 3
(c) 5
(d) 1.

Answer

Answer: (d) 1
Hint:
(2^-1 + 3^-1 + 5^-1)⁰ = 1 [∵ a⁰ = 1]

Question 23.
3^m + 3^-3 = 3⁵ ⇒ m is equal to
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (b) 2
Hint:
3^m + 3^-3= 3⁵ ⇒ 3^m+3 = 3⁵
⇒ m + 3 = 5 ⇒ m = 2

Question 24.
(-2)^m+1 × (-2)⁴ = (-2)⁶ ⇒ m =
(a) 0
(b) 1
(c) -1
(d) none of these.

Answer

Answer: (b) 1
Hint:
(-2)^m+1 × (-2)⁴ = (-2)⁶
⇒ (-2)^m+1+4 = (-2)⁶
⇒ m + 5 = 6 ⇒ m = 1

Question 25.
(-1)⁵⁰ is equal to
(a) -1
(b) 1
(c) 50
(d) – 50.

Answer

Answer: (b) 1
Hint:
(-1) ^{even natural number} = 1

Question 26.
(-1)⁵¹ is equal to
(a) -1
(b) 1
(c) 51
(d) -51.

Answer

Answer: (a) -1
Hint:
(-1) ^{odd natural number} = -1

Question 27.
149600000000 is equal to
(a) 1.496 × 10¹¹
(b) 1.496 × 10¹⁰
(c) 1.496 × 10¹²
(d) 1.496 × 10⁸.

Answer

Answer: (a) 1.496 × 10¹¹
Hint:
149,600,000,000 = 1.496 × 10¹¹

Question 28.
300000000 is equal to
(a) 3 × 10⁸
(b) 3 × 10⁷
(c) 3 × 10⁶
(d) 3 × 10⁹

Answer

Answer: (a) 3 × 10⁸
Hint:
300,000,000 = 3 × 10⁸

Question 29.
0.000007 is equal to
(a) 7 × 10^-6
(b) 7 × 10^-5
(c) 7 × 10^-4
(d) 7 × 10^-3

Answer

Answer: (a) 7 × 10^-6
Hint:
0.000007 = 7 × 10^-6

Question 30.
384467000 is equal to
(a) 3.84467 × 10⁸
(b) 3.84467 × 10³
(c) 3.84467 × 10⁷
(d) 3.84467 × 10⁶

Answer

Answer: (a) 3.84467 × 10⁸
Hint:
384467000 = 3.84467 × 10⁸

Question 31.
0.00001275 is equal to
(a) 1.275 × 10^-5
(b) 1.275 × 10^-3
(c) 1.275 × 10⁴
(d) 1.275 × 10³

Answer

Answer: (a) 1.275 × 10^-5
Hint:
0.00001275 = 1.275 × 10^-5

Question 32.
695000 is equal to
(a) 6.95 × 10⁵
(b) 6.95 × 10³
(c) 6.95 × 10⁶
(d) 6.95 × 10⁴

Answer

Answer: (a) 6.95 × 10⁵
Hint:
695000 = 6.95 × 10⁵

Question 33.
503600 is equal to
(a) 5.036 × 10⁵
(b) 5.036 × 10⁶
(c) 5.036 × 10⁴
(d) 5.036 × 10⁷

Answer

Answer: (a) 5.036 × 10⁵
Hint:
503600 = 5.036 × 10⁵

Question 34.
0.0016 is equal to
(a) 1.6 × 10^-3
(b) 1.6 × 10^-2
(c) 1.6 × 10^-4
(d) 1.6 × 10^-5

Answer

Answer: (a) 1.6 × 10^-3
Hint:
0.0016 = 1.6 × 10^-3

Question 35.
0.000003 is equal to
(a) 3 × 10^-6
(b) 3 × 10⁶
(c) 3 × 10⁵
(d) 3 × 10^-5

Answer

Answer: (a) 3 × 10^-6
Hint:
0.000003 = 3 × 10^-6

Question 36.
8848 is equal to
(a) 8.848 × 10³
(b) 8.848 × 10²
(c) 8.848 × 10
(d) 8.848 × 10⁴

Answer

Answer: (a) 8.848 × 10³
Hint:
8848 = 8.848 × 10³

Question 37.
1.5 × 10¹¹ is equal to
(a) 150000000000
(b) 15000000000
(c) 1500000000
(d)1500000000000.

Answer

Answer: (a) 150000000000
Hint:
1.5 × 10¹¹ = 150,000,000,000

Question 38.
2.1 × 10^-6 is equal to
(a) 0.0000021
(b) 0.000021
(c) 0.00021
(d) 0.0021.

Answer

Answer: (a) 0.0000021
Hint:
2.1 × 10^-6 = 0.0000021

Question 39.
2.5 × 10⁴ is equal to
(a) 25
(b) 250
(c) 2500
(d) 25000.

Answer

Answer: (d) 25000
Hint:
2.5 × 10⁴ = 25000

Question 40.
0.07 × 10¹⁰ is equal to
(a) 700000000
(b) 7000000
(c) 7000
(d) 7.

Answer

Answer: (a) 700000000
Hint:
0.07 × 10¹⁰ = 700,000,000.

Question 41.
The value of 2^-2 is:
(a) 4
(b) ¼
(c) 2
(d) ½

Answer

Answer: (b) ¼
Hint:
2^-2 = 1/2² = ¼

Question 42.
The multiplicative inverse of 7^-2is:
(a) 7²
(b) 7
(c) 1/7²
(d) 1/7

Answer

Answer: (a) 7²
Hint:
The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7^-2 = 1/7²
Hence, 7² x 1/7² = 1

Question 43.
2² x 2³ x 2⁴ is equal to:
(a) 2²⁴
(b) 2^-5
(c) 2⁹
(d) 2^-9

Answer

Answer: (c) 2⁹
Hint:
By laws of exponents:
a^m x aⁿ = a^m+n
2² x 2³ x 2⁴ = 2²⁺³⁺⁴ = 2⁹

Question 44.
3^-2 x 3^-5 is equal to:
(a) 3^-7
(b) 3^-3
(c) 3^-10
(d) 3⁷

Answer

Answer: (a) 3^-7
Hint:
3^-2 x 3^-5= (1/3²) x (1/3⁵)
= (1/3²⁺⁵)
= (1/3⁷)
= 3^-7

Question 45.
5⁴/5² is equal to:
(a) 5⁶
(b) 5^-6
(c) 5^-2
(d) 5²

Answer

Answer: (d) 5²
Hint:
By exponent law:
a^m/aⁿ = a^m-n
5⁴/5² = 5^4-2 = 5²

Question 46.
The value of (3⁴)³ is:
(a) 3
(b) 3¹²
(c) 3⁷
(d) None of the above

Answer

Answer: (b) 3¹²
Hint:
By law of exponent:
(a^m)ⁿ = a^mn
(3⁴)³ = 3^4×3 = 3¹²

Question 47.
3² x 4² is equal to:
(a) 121
(b) 49
(c) 144
(d) 156

Answer

Answer: (c) 144
Hint:
By exponent law;
a^m x b^m = (ab)^m
3² x 4² = (3×4)² = 12² = 144

Question 48.
5⁷/6⁷ will give the value:
(a) (5/6)⁷
(b) (5/6)⁰
(c) (5/6)^-7
(d) (6/5)^-7

Answer

Answer: (a) (5/6)⁷
Hint:
By exponent law:
a^m/b^m = (a/b)^m
5⁷/6⁷ = (⅚)⁷

Question 49.
100⁰+20⁰+5⁰ is equal to
(a) 125
(b) 25
(c) 1/125
(d) 3

Answer

Answer: (d) 3
Hint:
By exponent law we know:
a⁰ = 1
100⁰ + 20⁰ + 5⁰ = 1 + 1 + 1 = 3

Question 50.
If (–3)^m+1 × (-3)⁵ = (-3)⁷, then the value of m is:
(a) 5
(b) 7
(c) 1
(d) 3

Answer

Answer: (c) 1
Explanation: (-3)^m+1 × (-3)⁵ = (-3)⁷
(-3)^m+1+5 = (-3)⁷
(-3)^m+6 = (-3)⁷
Since, base are equal on both the sides, hence if we compare the powers,
m + 6 = 7
m = 7 – 6 = 1

We hope the given NCERT MCQ Questions for Class 8 Maths Chapter 12 Exponents and Powers with Answers Pdf free download will help you. If you have any queries regarding Exponents and Powers CBSE Class 8 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 8 Maths Chapter 11 Mensuration with Answers

February 25, 2023February 24, 2023 by Veer

Check the below NCERT MCQ Questions for Class 8 Maths Chapter 11 Mensuration with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Mensuration Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-8-maths-chapter-11-with-answers/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 11 Mensuration for better exam preparation and score more marks.

Mensuration Class 8 MCQs Questions with Answers

Mensuration Class 8 MCQ Question 1.
The diagram has the shape of a

(a) square
(b) rectangle
(c) triangle
(d) trapezium.

Answer

Answer: (b) rectangle

MCQ On Mensuration For Class 8 Question 2.
The diagram has the shape of a

(a) rectangle
(b) square
(c) circle
(d) parallelogram.

Answer

Answer: (b) square

Mensuration MCQ Class 8 Question 3.
The diagram has the shape of a

(a) circle
(b) rectangle
(c) square
(d) triangle.

Answer

Answer: (d) triangle

MCQ Of Mensuration Class 8 Question 4.
The diagram has the shape of a

(a) rectangle
(b) square
(c) parallelogram
(d) circle.

Answer

Answer: (c) parallelogram

Class 8 Mensuration MCQ Question 5.
The diagram has the shape of a

(a) circle
(b) square
(c) rectangle
(d) parallelogram.

Answer

Answer: (a) circle

Class 8 Maths Chapter 11 MCQ Question 6.
The diagram has the shape of a

(a) circle
(b) parallelogram
(c) rectangle
(d) trapezium.

Answer

Answer: (d) trapezium

Class 8 Maths Ch 11 MCQ Question 7.
The area of a rectangle of length a and breadth b is
(a) a + b
(b) ab
(c) a² + b²
(d) 2ab.

Answer

Answer: (b) ab

Class 8 Maths Mensuration MCQ Question 8.
The area of a square of side a is
(a)a
(b) a²
(c) 2a
(d) 4a.

Answer

Answer: (b) a²

MCQ Mensuration Class 8 Question 9.
The area of a triangle with base b and altitude h is
(a) \(\frac{1}{2}\)bh
(b) bh
(c) \(\frac{1}{3}\)bh
(d) \(\frac{1}{4}\)bh.

Answer

Answer: (a) \(\frac{1}{2}\)bh

Mensuration Class 8 Worksheets MCQ Question 10.
The area of a parallelogram of base b and altitude h is
(a) \(\frac{1}{2}\)bh
(b) bh
(c) \(\frac{1}{3}\)bh
(d) \(\frac{1}{4}\)bh.

Answer

Answer: (b) bh

MCQs On Mensuration Class 8 Question 11.
The area of a circle of radius r is
(a) \(\frac{1}{2}\)πr²
(b) r²
(c) πr².
(d) \(\frac{1}{4}\)πr²

Answer

Answer: (b) r²

Ncert Class 8 Maths Chapter 11 MCQ Question 12.
1 cm³ =
(a) 1000 mm³
(b) 100 mm³
(c) 10 mm³
(d) \(\frac{1}{1000}\)mm³

Answer

Answer: (a) 1000 mm³

Mensuration Class 8 Extra Questions Question 13.
1 m³ =
(a ) 1000000 cm³
(b) 100 cm³
(c) 10 cm³
(d) \(\frac{1}{1000}\) cm³

Answer

Answer: (a ) 1000000 cm³

MCQ Questions For Class 8 Maths Mensuration Question 14.
1 mm³ =
(a) 0.001 cm³
(b) 0.01 cm³
(c) 0.1 cm³
(d) 1000 cm³

Answer

Answer: (a) 0.001 cm³

MCQs Of Mensuration Class 8 Question 15.
1 cm³ =
(a) 0.000001 m³
(b) 0.01 m³
(c) 0.1 m³
(d) 1000 m³

Answer

Answer: (a) 0.000001 m³

Mensuration Class 8 MCQ Questions Question 16.
The surface area of a cuboid of length l, breadth b and height h is
(a ) lbh
(b) lb + bh + hl
(c) 2 (lb + bh + hl)
(d) 2(l + b)h.

Answer

Answer: (c) 2 (lb + bh + hl)

Class 8 Math Chapter 11 MCQ Question 17.
The surface area of a cube of edge a is
(a) 4a²
(b) 6a²
(c) 3a²
(d) a².

Answer

Answer: (b) 6a²

Question 18.
The total surface area of a cylinder of base radius r and height h is
(a) 2πr (r + h)
(b) πr (r + h)
(c) 2πrh
(d) 2πr².

Answer

Answer: (a) 2πr (r + h)

Question 19.
The volume of a cuboid of length l, breadth b and height h is
(a) lbh
(b) lb + bh + hl
(c) 2 (lb + bh + hl)
(d) 2 (l + b) h.

Answer

Answer: (a) lbh

Question 20.
The volume of a cube of edge a is
(a) a²
(b) a³
(c) a⁴
(d) 6a²

Answer

Answer: (b) a³

Question 21.
The volume of a cylinder of base radius r and height h is
(a) 2πrh
(b) πr²h
(c) 2πr (r + h)
(d) \(\frac{1}{3}\) πr²h.

Answer

Answer: (b) πr²h

Question 22.
1 L =
ia) 10 cm³
(b) 100 cm³
(c) 1000 cm³
(d) 10000 cm³.

Answer

Answer: (c) 1000 cm³

Question 23.
1 m³ =
(a) 1 L
(b) 10 L
(c) 100 L
(d) 1000 L.

Answer

Answer: (d) 1000 L.

Question 24.
The perimeter of the figure is

(a) 7 cm
(b) 14 cm
(c) 12 cm
(d) 24 cm.

Answer

Answer: (b) 14 cm
Hint:
Perimeter = 2 (4 + 3) = 14 cm.

Question 25.
The area of the figure is

(a) 8 cm²
(b) 6 cm²
(c) 12 cm²
(d) 16 cm²

Answer

Answer: (c) 12 cm²
Hint:
Area = 6² = 12 cm².

Question 26.
The perimeter of the figure is

(a) 5 cm
(b) 10 cm
(c) 4 cm
(d) 8 cm.

Answer

Answer: (b) 10 cm
Hint:
Perimeter = 2 (4 + 1) = 10 cm.

Question 27.
The area of the figure is

(a) 6 cm²
(b) 12 cm²
(c) 5 cm²
(d) 10 cm²

Answer

Answer: (a) 6 cm²
Hint:
Area = 3 × 2 = 6 cm².

Question 28.
The perimeter of the figure is

(a) 12 cm
(b) 24 cm
(c) 6 cm
(d) 60 cm.

Answer

Answer: (a) 12 cm
Hint:
Perimeter = 4 + 3 + 5 = 12 cm.

Question 29.
The area of the figure is

(a) 9 cm²
(b) 18 cm²
(c) 12 cm²
(d) 15 cm²

Answer

Answer: (a) 9 cm²
Hint:
Area = \(\frac{6×3}{2}\) 9 cm².

Question 30.
The perimeter of the figure is

(a) 4 cm
(b) 6 cm
(c) 8 cm
(d) 12 cm.

Answer

Answer: (c) 8 cm
Hint:
Perimeter = 4 × 2 = 8 cm.

Question 31.
The area of the figure is

(a) 16 cm²
(b) 8 cm²
(c) 4 cm²
(d) 12 cm²

Answer

Answer: (a) 16 cm²
Hint:
Area = 4 × 4 = 16 cm².

Question 32.
The area of the figure is

(a) 77 cm²
(b) 154 cm²
(c) 38.5 cm²
(d) none of these

Answer

Answer: (a) 77 cm²
Hint:
Area = \(\frac{1}{2}\) × \(\frac{22}{7}\) × 7 × 7 = 77 cm².

Question 33.
The area of the trapezium is

(a) 9 cm²
(b) 6 cm²
(c) 7 cm²
(d) 24 cm²

Answer

Answer: (a) 9 cm²
Hint:
Area = \(\frac{(4+2)3}{2}\) = 9 cm².

Question 34.
The area of the trapezium is

(a) 6 cm²
(b) 4 cm²
(c) 3 cm²
(d) 9 cm²

Answer

Answer: (a) 6 cm²
Hint:
Area = \(\frac{(3+2)3}{2}\) = 6 cm².

Question 35.
The perimeter of the trapezium is

(a) 12 cm
(b) 24 cm
(c) 6 cm
(d) 18 cm.

Answer

Answer: (a) 12 cm
Hint:
Perimeter = 3 + 3 + 2 + 4 = 12 cm.

Question 36.
The area of the quadrilateral is

(a) 3.75 cm²
(b) 7.5 cm²
(c) 3 cm²
(d) 10 cm²

Answer

Answer: (a) 3.75 cm²
Hint:
Area = \(\frac{1}{2}\) × 3 × 2.5 = 1.5 × 2.5
= 3.75 cm².

Question 37.
The area of the quadrilateral is

(a) 10 cm²
(b) 5 cm²
(c) 20 cm²
(d) 15 cm²

Answer

Answer: (a) 10 cm²
Hint:
Area = 2(\(\frac{5×2}{2}\)) = 10 cm².

Question 38.
The area of the quadrilateral is

(a) 6 cm²
(b) 12 cm²
(c) 3 cm²
(d) 8 cm²

Answer

Answer: (a) 6 cm²
Hint:
Area = \(\frac{4×(1+2)}{2}\)) = 6 cm²

Question 39.
The area of a rhombus is 60 cm². One diagonal is 10 cm. The other diagonal is
(a) 6 cm
(b) 12 cm
(c) 3 cm
(d) 24 cm.

Answer

Answer: (b) 12 cm
Hint:
\(\frac{1}{2}\) × 10 × d₂ = 60 ⇒ d₂ = 12 cm.

Question 40.
The area of a trapezium is 40 cm². Its parallel sides are 12 cm and 8 cm. The distance between the parallel sides is
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm.

Answer

Answer: (d) 4 cm.
Hint:
\(\frac{(12+8)d}{2}\) = 40 ⇒ d = 4 cm.

Question 41.
8 persons can stay in a cubical room. Each person requires 27 m³ of air. The side of the cube is
(a) 6 m
(b) 4 m
(c) 3 m
(d) 2 m.

Answer

Answer: (a) 6 m
Hint:
Volume = 8 × 27 = 216 m³
∴ side = \(\sqrt[3]{216}\) = 6 m.

Question 42.
If the height of a cuboid becomes zero, it will take the shape of a
(a) cube
(b) parallelogram
(c) circle
(d) rectangle.

Answer

Answer: (d) rectangle.

Question 43.
The volume of a room is 80 m³. The area of the floor is 20 m². The height of the room is
(a) 1 m
(b) 2 m
(c) 3 m
(d) 4 m.

Answer

Answer: (d) 4 m
Hint:
Height = \(\frac{80}{20}\) = 4 m.

Question 44.
The floor of a room is a square of side 6 m. Its height is 4 m. The volume of the room is
(a) 140 m³
(b) 142 m³
(c) 144 m³
(d) 145 m³

Answer

Answer: (c) 144 m³
Hint:
Volume = 6 × 6 × 4 = 144 m³.

Question 45.
The base radius and height of a right circular cylinder are 14 cm and 5 cm respectively. Its curved surface is
(a) 220 cm²
(b) 440 cm²
(c) 1232 cm²
(d) 2π × 14 × (14 + 5) cm²

Answer

Answer: (b) 440 cm²
Hint:
Curved surface = 2 × \(\frac{22}{7}\) × 14 × 5
= 440 cm².

Question 46.
The heights of two right circular cylinders are the same. Their volumes are respectively 16π m³ and 81π m³. The ratio of their base radii is
(a) 16 : 81
(b) 4 : 9
(c) 2 : 3
(d) 9 : 4.

Answer

Answer: (b) 4 : 9
Hint:
\(\frac{πr_1^2h}{πr_2^2h}\) = \(\frac{16π}{81π}\) ⇒ \(\frac{r_1}{r_2}\) = \(\frac{4}{9}\)

Question 47.
The ratio of the radii of two right circular cylinders is 1 : 2 and the ratio of their heights is 4 : 1. The ratio of their volumes is
(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 4 : 1.

Answer

Answer: (a) 1 : 1
Hint:
\(\frac{r_1}{r_2}\) = \(\frac{π(1)^24}{π(2)^21}\) = 1 : 1

Question 48.
A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water is
(a) 18π cm³
(b) 36π cm³
(c) 9π cm³
(d) 36 cm³

Answer

Answer: (b) 36π cm³
Hint:
Volume = \(\frac{1}{2}\)π × 3 × 3 × 8 = 36π cm³.

Question 49.
The base area of a right circular cylinder is 16K cm³. Its height is 5 cm. Its curved surface area is
(a) 40π cm²
(b) 30π cm²
(c) 20π cm²
(d) 10π cm²

Answer

Answer: (a) 40π cm²
Hint:
πr² = 16π ⇒ r = 4 cm
∴ Curved surface area
= 2 × π × 4 × 5 = 40π cm²

Question 50.
The base radius and height of a right circular cylinder are 5 cm and 10 cm. Its total surface area is
(a) 150π cm²
(b) 300π cm²
(c) 150 cm²
(d) 300 cm²

Answer

Answer: (a) 150π cm²
Hint:
Total surface area = 2πr (h + r)
= 2π 5 (10 + 5) = 150π cm².

Question 51.
If the length and breadth of a rectangle are 10 cm and 5 cm, respectively, then its area is:
(a) 100 sq.cm
(b) 150 sq.cm
(c) 115 sq.cm
(d) 200 sq.cm

Answer

Answer: (b) 150 sq.cm
Hint:
Length = 10 cm
And breadth = 5 cm
Area of rectangle = Lenght x breadth
= 10 x 5
= 150 cm²

Question 52.
The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:
(a) 41 cm²
(b) 82 cm²
(c) 410 cm²
(d) 820 cm²

Answer

Answer: (a) 41 cm²
Hint:
Area of rhombus = ½ d₁ d₂
A = ½ x 10 x 8.2
A = 41 cm²

Question 53.
The area of a trapezium is 480 cm², the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. The other parallel side is:
(a) 20 cm
(b) 34 cm
(c) 44 cm
(d) 50 cm

Answer

Answer: (c) 44 cm
Hint:
Area of trapezium = ½ h (a + b)
a=20 cm, h = 15 cm, Area = 480 sq.cm
480 = ½ (15) (20 + b)
20 + b = (480 x 2)/15
20 + b = 64
b = 44cm

Question 54.
The area of a rhombus is 240 cm² and one of the diagonals is 16 cm. Find the other diagonal.
(a) 16 cm
(b) 20 cm
(c) 30 cm
(d) 36 cm

Answer

Answer: (c) 30 cm
Hint:
Area = 240 cm²
d₁ = 16 cm
Area of rhombus = ½ d₁ x d₂
240 = ½ x 16 x d₂
d₂ = 480/16 = 30 cm

Question 55.
A cuboid has ______ pairs of identical faces.
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (b) 3
Hint:
All six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.

Question 56.
All six faces of a cube are:
(a) Identical
(b) Different
(c) Circular
(d) Rectangular

Answer

Answer: (a) Identical
Hint:
All six faces are squares and identical

Question 57.
A cylindrical box has ____ curved surface and ____ circular faces, which are identical.
(a) One, One
(b) One, two
(c) two, one
(d) two, two

Answer

Answer: (b) One, two
Hint:
A cylindrical box having circular bases have identical top. One curved surface and two circular faces which are identical.

Question 58.
If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
(a) 1100 cm²
(b) 1200 cm²
(c) 1300 cm²
(d) 1400 cm²

Answer

Answer: (c) 1300 cm²
Hint:
Total surface area = 2 (20 × 15 + 20 × 10 + 10 × 15)
TSA = 2 ( 300 + 200 + 150) = 1300 cm²

Question 59.
The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm² is:
(a) 15 cm
(b) 17 cm
(c) 19 cm
(d) 21 cm

Answer

Answer: (a) 15 cm
Hint:
Total surface area = 2πr (h + r)
968 = 2 x 22/7 x 7 (7+h)
h = 15 cm

Question 60.
The height of a cuboid whose volume is 275 cm³ and base area is 25 cm² is:
(a) 10 cm
(b) 11 cm
(c) 12 cm
(d) 13 cm

Answer

Answer: (b) 11 cm
Hint:
Volume of a cuboid = Base area × Height
Height = Volume / Base area
H = 275/25 = 11 cm

We hope the given NCERT MCQ Questions for Class 8 Maths Chapter 11 Mensuration with Answers Pdf free download will help you. If you have any queries regarding Mensuration CBSE Class 8 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 8 Maths Chapter 10 Visualising Solid Shapes with Answers

February 25, 2023February 24, 2023 by Veer

Check the below NCERT MCQ Questions for Class 8 Maths Chapter 10 Visualising Solid Shapes with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Visualising Solid Shapes Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-8-maths-chapter-10-with-answers/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes for better exam preparation and score more marks.

Visualising Solid Shapes Class 8 MCQs Questions with Answers

Visualising Solid Shapes Class 8 MCQ Question 1.
The name of the shape is

(a) cylinder
(b) square
(c) circle
(d) triangle.

Answer

Answer: (b) square

MCQ On Visualising Solid Shapes Class 8 Question 2.
The name of the shape is

(a) sphere
(b) cylinder
(c) cone
(d) triangle.

Answer

Answer: (c) cone

Class 8 Maths Chapter 10 MCQ Question 3.
The name of the shape is

(a) cone
(b) sphere
(c) cuboid
(d) cylinder.

Answer

Answer: (d) cylinder

Ncert Class 8 Maths Chapter 10 MCQ Question 4.
The name of the shape

(a) triangle
(b) cone
(c) cylinder
(d) sphere

Answer

Answer: (a) triangle

Class 8 Maths Ch 10 MCQ Question 5.
The name of the shape is

(a) cone
(b) circle
(c) cylinder
(d) cube.

Answer

Answer: (b) circle

Class 8 Visualising Solid Shapes MCQ Question 6.
The name of the shape is

(a) cuboid
(b) cube
(c) square
(d) cylinder.

Answer

Answer: (b) cube

MCQ Questions For Class 8 Maths Visualising Solid Shapes Question 7.
The name of the shape is

(a) cube
(b) cuboid
(c) sphere
(d) square.

Answer

Answer: (b) cuboid

Visualising Solid Shapes MCQ Question 8.
The name of the shape is

(a) circle
(b) sphere
(c) cylinder
(d) cone.

Answer

Answer: (b) sphere

Class 8 Maths Chapter 10 Extra Questions Question 9.
A cuboid has how many faces ?
(a) 2
(b) 4
(c) 6
(d) 3.

Answer

Answer: (c) 6

Visualising Solid Shapes Class 8 Extra Questions Question 10.
How many faces does a cube have ?
(a) 6
(b) 4
(c) 3
(d) 2.

Answer

Answer: (a) 6

Class 8 Maths Chapter 10 MCQ Questions Question 11.
How many vertices does a cuboid have ?
(a) 4
(b) 6
(c) 8
(d) 3.

Answer

Answer: (c) 8

Visualising Solid Shapes MCQ Class 8 Question 12.
How many vertices does a cube have ?
(a) 8
(b) 6
(c) 4
(d) 2.

Answer

Answer: (a) 8

The Side View Of A Cone Appears As Question 13.
How many edges does a cuboid have ?
(a) 12
(b) 8
(c) 6
(d) 4.

Answer

Answer: (a) 12

Class 8th Maths Chapter 10 MCQ Question 14.
How many edges does a cube have ?
(a) 12
(b) 6
(c) 4
(d) 8.

Answer

Answer: (a) 12

Class 8 Math Chapter 10 MCQ Question 15.
How many faces does a triangular pyramid have ?
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (d) 4

MCQ Questions For Class 8 Maths Chapter 10 Question 16.
How many vertices does a triangular pyramid have ?
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (d) 4

MCQ Questions On Visualising Solid Shapes Class 8 Question 17.
How many edges does a triangular pyramid have ?
(a) 2
(b) 4
(c) 6
(d) 8.

Answer

Answer: (c) 6

Question 18.
How many faces does a triangular prism have ?
(a) 5
(b) 4
(c) 3
(d) 6.

Answer

Answer: (a) 5

Question 19.
How many vertices does a triangular prism have ?
(a) 6
(b) 5
(c) 4
(d) 3.

Answer

Answer: (a) 6

Question 20.
How many edges does a triangular prism have ?
(a) 11
(b) 9
(c) 6
(d) 3.

Answer

Answer: (b) 9

Question 21.
How many faces does a pyramid with square base have ?
(a) 5
(b) 3
(c) 2
(d) 6.

Answer

Answer: (a) 5

Question 22.
How many vertices does a pyramid with square base have ?
(a) 5
(b)4
(c) 3
(d) 6.

Answer

Answer: (a) 5

Question 23.
How many edges does a pyramid with square base have ?
(a) 8
(b) 6
(c) 4
(d) 5.

Answer

Answer: (a) 8

See the following solid and answer the following questions:

Question 24.
The number of faces is
(a) 6
(b) 7
(c) 8
(d) 9.

Answer

Answer: (b) 7

Question 25.
The number of vertices is
(a) 5
(b) 7
(c) 8
(d) 10

Answer

Answer: (d) 10

Question 26.
The number of edges is
(a) 5
(b) 10
(c) 20
(d) 15.

Answer

Answer: (d) 15

Question 27.
For a polyhedron, if ‘F’ stands for number of faces, V stands for number of vertices and E stands for number of edges, then which of the following relationships is named as Euler’s formula ?
(a) F + V = E + 2
(b) F + E = V + 2
(c) V + E = F + 2
(d) F+ V = E – 2.

Answer

Answer: (a) F + V = E + 2

Question 28.
A cube has ______ faces.
(a) 4
(b) 5
(c) 6
(d) 8

Answer

Answer: (c) 6
Explanation:
A cube is a three dimensional shape having six faces.

Question 29.
A sphere has how many faces ?
(a) One
(b) Two
(c) Four
(d) None

Answer

Answer: (d) None
Explanation:
A sphere is a round-shaped object having no faces and edges.

Question 30.
The top-view of a cone looks like:
(a) A Circle
(b) A Square
(c) A Rectangle
(d) A Triangle

Answer

Answer: (a) A Circle
Explanation:
The base of a right-cone is always circular. When we see it from the top, it looks like a circle with its vertex as the center of the circle.

Question 31.
The top-view of a cube looks like a:
(a) Circle
(b) Square
(c) Rectangle
(d) Triangle

Answer

Answer: (b) Square
Explanation:
Since all the faces of a cube are of equal length.

Question 32.
The base of a prism is:
(a) Circle
(b) Triangle
(c) Square
(d) Any shape

Answer

Answer: (d) Any shape
Explanation:
A pyramid is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.

Question 33.
If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has ?
(a) 6
(b) 8
(c) 12
(d) 18

Answer

Answer: (b) 8
Explanation:
By Euler’s formula we know that:
For any polyhedron,
F + V – E = 2
F = 2 – V + E
F = 2 – 6 + 12 = 8

Question 34.
Number of vertices a cone has:
(a) One
(b) Two
(c) Three
(d) Four

Answer

Answer: (a) One

Question 35.
An example of cone is:
(a) Tube
(b) A tent
(c) A ball
(d) A box

Answer

Answer: (b) A tent

Question 36.
The top-view of a cuboid looks like a:
(a) Circle
(b) Square
(c) Rectangle
(d) Triangle

Answer

Answer: (c) Rectangle

Question 37.
The side-view of a cone appears as:
(a) Circle
(b) Square
(c) Rectangle
(d) Triangle

Answer

Answer: (d) Triangle

We hope the given NCERT MCQ Questions for Class 8 Maths Chapter 10 Visualising Solid Shapes with Answers Pdf free download will help you. If you have any queries regarding Visualising Solid Shapes CBSE Class 8 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.