Factorization-MCQ

Class VIII Math
MCQ for Factorisation
MULTIPLE CHOICE QUESTIONS
1.   Which of the following is the common factor of 21 x2y and 35 xy2?
        (i) 7
(ii) xy
(iii) 7 xy
(iv) none of these.
2.   Which of the following arc the factors of 1 – x2?
        (i) (x + l) (x – I)
(ii) (1 – x) (1 + x)
(iii) (1 – x) (1 – x)
(iv) (1 + x) (1 + x).
3.   Which of the following is the common factor of:
        5xy, 3pqr and 40 xyz?
        (i) 5
(ii) 0
(iii) xy
(iv) 1
4.   Which of the following is quotient obtained on dividing –18 xyz2 by –3 xz?
        (i) 6 Yz
(ii) –6 yz
(iii) 6 xy2
(iv) 6 xy
5.   Which of the following is quotient obtained on dividing (x2 – b) (x – a) by –(x – a)?
        (i) (x2 – b)
(ii)
(iii) –(x2 – b)
(iv) – (x + a)
6.   Which of the following are the factors of a2 + ab + bc + ca
        (i) ab – a – b + 1 = (1 – a)(1 – b)
(ii) ab – a – b + 1 = (a – 1)(b – 1)
        (iii) ab – a – b + 1 = (1 – a)(b – 1)
(iv) ab – a – b + 1 = (a – 1)(1 – b)
7.   (y – x) (y + x) is equal to which of the following:
        (i) y2 – yx
(ii) yx – x2
(iii) y2 – x2
(iv) x2 – y2
8.   Which of the following are the factors of a2 + ab +bc + ca
        (i) (b + c) (c + a)
(ii) (a + b) (a + c)
(iii) a(a + b + c)
(iv) (a + b) (b + c).
9.   Which of the following is the factorisation of x3 – x?
        (i) x(x – x2)
(ii) x[(1+ x) (1 – x)]
(iii) x(x2 – x)
(iv) x[(x + 1) (x – 1)]
10.   Which of the following is equal to x3 – 225x
        (i) x(1 – 15x) (1 + 15x)
(ii) x(x – 15) (x + 15)
        (iii) x(1 – 15x) (1 – 15x)
(iv) x(1 + 15x) (1 – 15x).
Answers