Q 1 – The common factor of x²y² and x³y³ is
(a) x²y²
(b) x³y³
(c) x²y³
(d) x³y².
Q 2 – The common factor of x3y2 and x4y is
(a) x43y2
(b) x4y
(c) x3y2
(d) x3y.
Q 3 – The common factor 12y and 30 is
(a) 6
(b) 12
(c) 30
(d) 6y.
Q 4 – The common factor of 2x, 3x3, 4 is
(a) 1
(b) 2
(c) 3
(d) 4.
Q 5 – The common factor of 14a2b and 35a4b² is
(a) a4b²
(b) 35a4b²
(c) 14a²b
(d) 7a²b.
Q 6 – The common factor of 2a2b4c2, 8a4b3c4 and 6a3b4c2 is
(a) 2a2b3c2
(b) 6a2b3c2
(c) 8a2b3c2
(d) a4b4c4.
Q 7 – The common factor of 24x3y4, 36x4z4 and 48x3y2z is
(a) 12x3
(b) 24x3
(c) 36x3
(d)48x3
Q 8 – The common factor of 36p2q3x4, 48pq3x2 and 54p3q3x4 is
(a) 6pq3x2
(b) 36pq3x2
(c) 54pq3x2
(d) 48pq3x2
Q 9 – The factorization of 6x – 42 is
(a) 6(x – 7)
(b) 3(x – 7)
(c) 2(x – 7)
(d) 6(x + 7)
Q 10 – The factorization of 28a3b5 – 42a5b3 is
(а) 14a3b3(2b2 – 3a2)
(b) 14a2b3(2b2 – 3a2)
(c) 14a3b2(2b2 – 3a2)
(d) none of these.
Q 11 – The factorization of a3 + a2b + ab2 is
(a) a(a2 + ab + b2)
(b) 6(a2 + ab + b2)
(c) ab(a2 + ab + b2)
(d) none of these.
Q 12 – The factorization 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).
Q 13 – The factorization 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.
Q 14 – The factorization 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).
Q 15 – The factorization 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).
Q 16 – The factorization of x2 + 8x + 16 is
(a) (x + 2)2
(b) (x + 4)2
(c) (x – 2)2
(d) (x – A)2
Q 17 – The factorization of 4y2 – 12y + 9 is
(a) (2y + 3)2
(b) (2y – 3)2
(c) (3y + 2)2
(d) (3y – 2)2
Q 18 – The factorization 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).
Q 19 – The factorization 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).
Q 20 – The factorization of (l + m)2 – 4lm is
(a) (l – m)2
(b) (l + m – 2)2
(c) (l + m + 2)2
(d) none of these.
Q 21 – The factorization 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).
Q 22 – 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.
Q 23 – 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.
Q 24 – The factorization of x2 – 9 is
(a) (x – 3)2
(b) (x + 3)2
(c) (x + 3)(x – 3)
(d) none of these.
Q 25 – The factorization of 36x2y2 – 1 is
(a) (6xy – 1)(6xy + 1)
(b) (6xy – 1)2
(c) (6xy + 1)2
(d) (6 + xy)2
Q 26 – The factorization 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).
Q 27 – The factorization 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).
Q 28 – The factorization 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).
Q 29 – If x2 – x – 42 = (x + k)(x + 6), then k =
(a) 6
(b) -6
(c) 7
(d) -7.
Q 30 – The value of 3.5 × 3.5 – 2.5 × 2.5 is
(a) -6
(b) 6
(c) 60
(d) 1.
Q 31 – If x = 2, y = -1 then the value of x² -+ 4xy + 4y² is
(a) 0
(b) 1
(c) -1
(d) 2
Q 32 – The quotient of 12a8b8 + (- a6b6) is
(a) 3a2b2
(6) 3a2b
(c) 3ab2
(d) -3a2b2
Q 33 – The factorization of 12x + 36 is
(a) 12(x + 3)
(b) 12(3x)
(c) 12(3x + 1)
(d) x(12 + 36x)
Q 34 – 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)
Q 35 – 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)
Q 36 – 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
Q 37 – The factors of m2 – 256 are:
(a) (m + 4)2
(b) (m – 4)2
(c) (m – 4) (m+4)
(d) None of the above
Q 38 – 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)
Q 39 – 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)
Q 40 – The factors of 49p2 – 36 are:
(a) (7p + 6)2
(b) (7p – 6)2
(c) (7p – 6 ) ( 7p + 6)
(d) None of the above