## MCQ Questions for Class 8 Maths: Ch 14 Factorisation

1. The common factor of a2 m4 and a4m2 is
(a) a4m4
(b) a2m2
(c) a2m4
(d) a4m2
â–º (b) a2m2

2. Divide as directed: 26xy (x + 5) (y â€“ 4) Ã· 13x (y â€“ 4)
(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these
â–º (a) 2y (x + 5)

3. Divide as directed: 5 (2x + 1) (3x + 5) Ã· (2x + 1)
(a) 5 (3x + 5)
(b) (3x + 5)
(c) 5
(d) none of these
â–º (a) 5 (3x + 5)

4. Solve: â€“20(x)4 Ã· 10(x)2
(a) 1/2x
(b) x
(c) 1/2
(d) -2x2
â–º (d) -2x2

5. Find the common factors of 2y, 22xy.
(a) 2y
(b) 2
(c) 22
(d) y
â–º (a) 2y

6. Choose the factors of 15x2âˆ’26x+8 from the following.
(a) (3xâˆ’4),(5x+2)
(b) (3xâˆ’4),(5xâˆ’2)
(c) (3x+4),(5xâˆ’2)
(d) (3x+4),(5x+2)
â–º (b) (3xâˆ’4),(5xâˆ’2)

7. Find and correct the errors in the following mathematical statements. x (3x + 2) = 3x2 + 2
(a) x (3x + 2) = 3x2 + 2x
(b) x (3x + 2) = 3x2
(c) x(3x + 2) = 5x2+ 2x
(d) none of these
â–º (a) x (3x + 2) = 3x2 + 2x

8. Divide as directed: 52pqr (p + q) (q + r) (r + p) Ã·104pq (q + r) (r + p)
(a) r(p+q)
(b) 1/2 r(p+q)
(c) 1/2
(d) none of these
â–º (b) 1/2 r(p+q)

9. Factorise: x2+xy+ 8x+ 8y
(a) (x + 8) (x + y)
(b) (x + y)
(c) (x + 8)
(d) (x + 9) (x â€“ y)
â–º (a) (x + 8) (x + y)

10. What are the factors of x2+xyâˆ’2xzâˆ’2yz?
(a) (xâˆ’y) and (x+2z)
(b) (x+y) and (xâˆ’2z)
(c) (xâˆ’y)and (xâˆ’2z)
(d) (x+y) and (x+2z)
â–º (b) (x+y) and (xâˆ’2z)

11. Factorize x2 + 8x + 12
(a) (x + 2)(x + 6)
(b) (x + 3)(x + 4)
(c) 3x + 12
(d) 3x - 12
â–º (a) (x + 2)(x + 6)

12. How many factors does (x9âˆ’x) have?
(a) 5
(b) 4
(c) 2
(d) 9
â–º (a) 5

13. Which of the following is quotient obtained on dividing â€“18 xyz2 by â€“3 xz?
(a) 6 yz
(b) â€“6 yz
(c) 6 xy2
(d) 6 xy
â–º (a) 6 yz

14. Divide the given polynomial by the given monomial: (5x2âˆ’ 6x) Ã· 3x
(a) (5x â€“ 6)
(b) 1/3
(c) 1/3(5x â€“ 6)
(d) none of these
â–º (c) 1/3(5x â€“ 6)

15. Factorise 6xy â€“ 4y + 6 â€“ 9x.
(a) (3x â€“ 2) (2y â€“ 3)
(b) (3x â€“ 2)
(c) (2y â€“ 3)
(d) (2x â€“ 3) (3y â€“ 2)
â–º (a) (3x â€“ 2) (2y â€“ 3)

16. When we factorise an expression, we write it as a ________ of factors.
(a) product
(b) difference
(c) sum
(d) none of these
â–º (a) product

17. Factorise: 4y2 âˆ’12y + 9
(a) (7yâˆ’ 5)2
(b) (5yâˆ’ 3)2
(c) (2yâˆ’ 5)2
(d) (2yâˆ’ 3)2
â–º (d) (2yâˆ’ 3)2

18. Amrit and Pankaj expanded (xâˆ’5)2. Amrit's answer is x2âˆ’25 and Pankaj's answer is x2âˆ’10x+25. Which of the following statements is correct?
(a) Amrit's answer is correct.
(b) Pankaj's answer is wrong.
(c) Both got correct answer.
(d) Pankaj's answer is correct.
â–º (d) Pankaj's answer is correct.
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