Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
2.3k views
in Factorization by (14.5k points)
closed by

Class 8 Maths MCQ Questions of Factorisation with Answers?

2 Answers

+1 vote
by (10.7k points)
selected by
 
Best answer

Students are advised to solve the MCQ Questions for Class 8 Maths to know different concepts. Use MCQ Questions for Class 8 Maths with Answers during preparation and score maximum marks in the exam. These MCQ Questions are designed by subject experts, according to the latest syllabus and NCERT guidelines.

Class 8 Maths MCQ Questions of Factorisation with answers are available online for students. The chapter-wise Multiple Choice Questions are provided at Sarthaks eConnect to make all students learn each concept and help them to score best marks in exams. Also, learn important MCQ Questions of Factorisation Class 8 with answers provided with detailed solutions.

Practice MCQ Question for Class 8 Maths chapter-wise

1. The common factor of x2y2 and x3y3 is

(a) x2y2
(b) x3y3
(c) x2y3
(d) x3y2

2. The common factor of x3y2 and x4y is

(a) x43y2
(b) x4y
(c) x3y2
(d) x3y

3. The common factor of a2m4 and a4m2 is

(a) a4m4
(b) a2m2
(c) a2m4
(d) a4m2

4. The common factor of 2x, 3x3, 4 is

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

5. The common factor of 10ab, 30bc, 50ca is

(a) 10
(b) 30
(c) 50
(d) abc

6. The common factor of 14a2b and 35a4b2 is

(a) a4b2
(b) 35a4b2
(c) 14a2b
(d) 7a2b

7. The common factor of 72x3y4z4, 120z2d4x4 and 96y3z4d4 is

(a) 96z3
(b) 120z3
(c) 72z3
(d) 24z2

8. The factorisation of 12a2b + 15ab2 is

(a) 3ab (4a + 5b)
(b) 3a2b (4a + 5b)
(c) 3ab2 (4a + 5b)
(d) 3a2b2 (4a + 5b)

9. 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)

10. 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

11. 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)

12. 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)

13. 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)

14. 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)

15. The factorisation of x2 + 8x + 16 is

(a) (x + 2)2
(b) (x + 4)2
(c) (x – 2)2
(d) (x – 4)2

16. The factorisation of 36x2y2 – 1 is

(a) (6xy – 1)(6xy + 1)
(b) (6xy – 1)2
(c) (6xy + 1)2
(d) (6 + xy)2

17. The value of (0.68)2 – (0.32)2 is

(a) -1
(b) 0
(c) 1
(d) 0.36

18. 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)

19. 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)

20. The quotient of 28x² + 14x is

(a) 2
(b) 2x
(c) x
(d) x2

21. On factorising 14pq + 35pqr, we get:

(a) pq(14 + 35r)
(b) p(14q + 35qr)
(c) q(14p + 35pr)
(d) 7pq(2 + 5r)

22. Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)

(a) r(p+q)
(b) 1/2 r(p+q)
(c) 1/2
(d) none of these

23. 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)

24. The factors of m2 – 256 are:

(a) (m + 4)2
(b) (m – 4)2
(c) (m – 4) (m+4)
(d) None of the above

25. The factors of 49p2 – 36 are:

(a) (7p + 6)2
(b) (7p – 6)2
(c) (7p – 6 ) ( 7p + 6)
(d) None of the above

+1 vote
by (10.7k points)

Answer:

1. Answer: (a) x2y2

Explanation: x2y2 = x × x × y × y

x3y3 = x × x × x × y × y × y

2. Answer: (d) x3y

Explanation: x3y2 = x × x × x × y × y

x4y = x × x × x × x × y

3. Answer: (b) a2m2

Explanation: a2m4 = a × a × m × m × m × m

a4m2 = a × a × a × a × m × m

4. Answer: (a) 1

Explanation: 2x = 2 × x

3x3 = 3 × x × x × x

4 = 2 × 2

Hence the common factor is 1

5. Answer: (a) 10

Explanation: 10ab = 2 × 5 × a × b

30bc = 2 × 3 × 5 × b × c

50ca = 2 × 5 × 5 × c × a

Hence common factor is 2 x 5 = 10

6. Answer: (d) 7a2b

Explanation: 14a2b = 2 × 7 × a × a × b

35a4b2 = 5 × 7 × a × a × a × a × b × b

7. Answer: (d) 24z2

Explanation: 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

Hence common factor is 2 x 2 x 2 x 3 = 24z2

8. Answer: (a) 3ab (4a + 5b)

Explanation:  12a2b + 15ab2 

= 3ab(4a + 5b)

9. Answer: (a) xyz(x + y + z)

Explanation: x2yz + xy2z + xyz2 

= xyz (x + y + z)

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

Explanation: a(x + y + z) + b(x + y + z) + c(x + y + z)

= (x + y + z) (a + b + c)

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

Explanation:  6xy – 4y + 6 – 9x

= 2y(3x – 2) – 3(- 2 + 3x)

= (3x – 2)(2y – 3)

12. Answer: (a) (x + 2)(x + y)

Explanation:  x2 + xy + 2x + 2y

= x(x + y) + 2(x + y)

= (x + 2) (x + y).

13. Answer: (a) (a - 1)(b -1)

Explanation: ab – a – b + 1

= a(b – 1) – 1(b – 1)

= (a – 1)(b – 1)

14. Answer: (a) (x + y + z)(x + 1)

Explanation:  x2 + x + xy + y + zx + z

= x(x + 1) + y(x + 1) + z(x + 1)

= (x + 1)(x + y + z)

15. Answer: (b) (x + 4)2

Explanation: x2 + 8x + 16

= (x)2 + 2 (x)(4) + (4)2 ((a + b)2 = a2 + 2ab + b2))

= (x + 4)2.

16. Answer: (a) (6xy – 1)(6xy + 1)

Explanation:  36x2y2 – 1

= (6xy)– (1)2 ((a2 - b2) = (a+b)(a-b))

= (6xy – 1)(6xy + 1)

17. Answer: (d) 0.36

Explanation: (0.68 + 0.32) (0.68 – 0.32) 

= 0.36.

18. Answer: (a) (3x + 4)(x + 2)

Explanation: 3x2 + 10x + 8 

= 3x2 + 6x + 4x + 8

= 3x(x + 2) + 4(x + 2)

= (x + 2)(3x + 4)

19. Answer: (a) (2x – 3)(3x + 2)

Explanation:  6x2 – 5x – 6

= 6x2 – 9x + 4x – 6

= 3x(2x – 3) + 2(2x – 3)

= (2x – 3)(3x + 2)

20. Answer: (b) 2x

Explanation:  \(\frac{28x^21}{14x}\)

\(=\frac{2\times2\times7\times x\times x}{2\times7\times x}\)

= 2x

21. Answer: (d) 7pq(2 + 5r)

Explanation: 14pq + 35pqr

= 2.7.p.q + 5.7.p.q.r

= 7pq(2 + 5r)

22. Answer: (b) 1/2 r(p+q)

Explanation:  52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)

\(=\frac{52\times p\times q\times r\times (p+q)\times(q+r)\times(r+p)}{52\times2\times p\times q\times(q+r)\times(r+p)}\)

\(\frac{1}{2}r(p+q)\)

23. Answer: (b) (b) 3[(m + 1) (m + 2)]

Explanation: 3m2 + 9m + 6

= 3(m2 + 3m + 2)

= 3 [m2 + m + 2m + 2]

= 3 [m(m + 1)+ 2( m + 1)]

= 3 [(m + 1) (m + 2)]

24. Answer: (d) None of the above

Explanation: 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)

25. Answer: (d) None of the above

Explanation:  49p2 – 36 

= (7p)2 – ( 6 )2 

= (7p – 6 ) ( 7p + 6) ((a2 - b2) = (a+b)(a-b))

Click here Practice MCQ Question for Factorisation Class 8

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...