Q. The common factor of x²y² and x³y³ is
-
(A)
x²y²
-
(B)
x³y³
-
(C)
x²y³
-
(D)
x³y²
✅ Correct Answer: (A)
x²y²
Q. The common factor of x3y2 and x4y is
-
(A)
x43y2
-
(B)
x4y
-
(C)
x3y2
-
(D)
x3y
✅ Correct Answer: (D)
x3y
Q. The common factor of a2 m4 and a4m2 is
-
(A)
a4m4
-
(B)
a2m2
-
(C)
a2m4
-
(D)
a4m2
✅ Correct Answer: (B)
a2m2
Q. The common factor of p3q4 and p4q3 is
-
(A)
p4q4
-
(B)
p4q3
-
(C)
p3q3
-
(D)
p3q4
✅ Correct Answer: (C)
p3q3
Q. The common factor 12y and 30 is
-
(A)
6
-
(B)
12
-
(C)
30
-
(D)
6y
Q. The common factor of 2x, 3x3, 4 is
Q. The common factor of 10ab, 30bc, 50ca is
-
(A)
10
-
(B)
30
-
(C)
50
-
(D)
abc
Q. The common factor of 14a2b and 35a4b² is
-
(A)
a4b²
-
(B)
35a4b²
-
(C)
14a²b
-
(D)
7a²b
✅ Correct Answer: (D)
7a²b
Q. The common factor of 8a2b4c2, 12a4bc4 and 20a3b4 is
-
(A)
a4b4
-
(B)
a2b2
-
(C)
4a2b2
-
(D)
4a2b
✅ Correct Answer: (D)
4a2b
Q. The common factor of 6a3b4c2, 21a2b and 15a3 is
-
(A)
3a2
-
(B)
3a3
-
(C)
6a3
-
(D)
6a2
✅ Correct Answer: (A)
3a2
Q. The common factor of 2a2b4c2, 8a4b3c4 and 6a3b4c2 is
-
(A)
2a2b3c2
-
(B)
6a2b3c2
-
(C)
8a2b3c2
-
(D)
a4b4c4
✅ Correct Answer: (A)
2a2b3c2
Q. The common factor of 3a2b4c2, 12b2c4 and 15a3b4c4 is
-
(A)
b4c4
-
(B)
3b2c2
-
(C)
15b2c4
-
(D)
12b2c4
✅ Correct Answer: (B)
3b2c2
Q. The common factor of 24x3y4, 36x4z4 and 48x3y2z is
-
(A)
12x3
-
(B)
24x3
-
(C)
36x3
-
(D)
48x3
✅ Correct Answer: (A)
12x3
Q. The common factor of 72x3y4z4, 120z2d4x4 and 96y3z4d4 is
-
(A)
96z3
-
(B)
120z3
-
(C)
72z3
-
(D)
24z2
✅ Correct Answer: (D)
24z2
Q. The common factor of 36p2q3x4, 48pq3x2 and 54p3q3x4 is
-
(A)
6pq3x2
-
(B)
36pq3x2
-
(C)
54pq3x2
-
(D)
48pq3x2
✅ Correct Answer: (A)
6pq3x2
Q. The factorisation of 12a2b + 15ab2 is
-
(A)
3ab (4a + 5b)
-
(B)
3a2b (4a + 5b)
-
(C)
3ab2 (4a + 5b)
-
(D)
3a2b2 (4a + 5b)
✅ Correct Answer: (A)
3ab (4a + 5b)
Q. 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)
✅ Correct Answer: (A)
2x2 (7x2 – 9x + 5)
Q. The factorisation of 6x – 42 is
-
(A)
6(x – 7)
-
(B)
3(x – 7)
-
(C)
2(x – 7)
-
(D)
6(x + 7)
✅ Correct Answer: (A)
6(x – 7)
Q. The factorisation of 6x + 12y is
-
(A)
6(x + 2y)
-
(B)
3(x + 4y)
-
(C)
2(3x + 12y)
-
(D)
none of these
✅ Correct Answer: (A)
6(x + 2y)
Q. The factorisation of 28a3b5 – 42a5b3 is
-
(A)
14a3b3(2b2 – 3a2)
-
(B)
14a2b3(2b2 – 3a2)
-
(C)
14a3b2(2b2 – 3a2)
-
(D)
none of these
✅ Correct Answer: (A)
14a3b3(2b2 – 3a2)
Q. 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
✅ Correct Answer: (A)
a(a2 + ab + b2)
Q. 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)
✅ Correct Answer: (A)
xyz(x + y + z)
Q. 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)
✅ Correct Answer: (A)
xy(ax + by + cz)
Q. 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
✅ Correct Answer: (A)
(a + b + c)(x + y + z)
Q. 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)
✅ Correct Answer: (A)
(3x – 2)(2y – 3)
Q. 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)
✅ Correct Answer: (A)
(x + 2)(x + y)
Q. 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)
✅ Correct Answer: (A)
(x – y)(a + b)
Q. 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)
✅ Correct Answer: (A)
(a – 1)(b – 1)
Q. 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)
✅ Correct Answer: (A)
(x + y + z)(x + 1)
Q. 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
✅ Correct Answer: (A)
(xy + yz + zx)(xy + 1)
Q. The factorisation of x2 + 8x + 16 is
-
(A)
(x + 2)2
-
(B)
(x + 4)2
-
(C)
(x – 2)2
-
(D)
(x – A)2
✅ Correct Answer: (B)
(x + 4)2
Q. The factorisation of 4y2 – 12y + 9 is
-
(A)
(2y + 3)2
-
(B)
(2y – 3)2
-
(C)
(3y + 2)2
-
(D)
(3y – 2)2
✅ Correct Answer: (B)
(2y – 3)2
Q. The factorisation of 49p2 – 36 is
-
(A)
(7p + 6)(7p – 6)
-
(B)
(6p + 7)(6p – 7)
-
(C)
(7p + 6)2
-
(D)
(7p – 6)2
✅ Correct Answer: (A)
(7p + 6)(7p – 6)
Q. 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)
✅ Correct Answer: (D)
(y – 3)(y – 4)
Q. 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)
✅ Correct Answer: (C)
(z – 6)(z + 2)
Q. 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)
✅ Correct Answer: (B)
(a + b)(m2 + n2)
Q. The factorisation of (lm + l) + m + 1 is
-
(A)
(l + 1)(m + 1)
-
(B)
(l – 1)(m – 1)
-
(C)
(l + 1)(m – 1)
-
(D)
(l – 1)(m + 1)
✅ Correct Answer: (A)
(l + 1)(m + 1)
Q. 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
✅ Correct Answer: (A)
(l – m)2
Q. 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)
✅ Correct Answer: (A)
(1 + p)(1 + q)(1 + r)
Q. The value of
0.645 × 0.645 + 2 × 0.645 × 0.355 + 0.355 × 0.355 is
Q. The factorisation 1 + 16x + 64x² is
-
(A)
(1 – 8x)2
-
(B)
(1 + 8x)2
-
(C)
(8 – x)2
-
(D)
(8 + x)2
✅ Correct Answer: (B)
(1 + 8x)2
Q. 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
✅ Correct Answer: (C)
(x + \(\frac{1}{2}\))²
Q. 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
✅ Correct Answer: (A)
(90)2 + 2(90)(9) + (9)2
Q. 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
✅ Correct Answer: (A)
(50)2 – 2(50)(1) + (1)2
Q. 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
✅ Correct Answer: (B)
(\(\frac{x}{y}\)–\(\frac{y}{x}\))2
Q. 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
Q. The factorisation of x2 – 9 is
-
(A)
(x – 3)2
-
(B)
(x + 3)2
-
(C)
(x + 3)(x – 3)
-
(D)
none of these
✅ Correct Answer: (C)
(x + 3)(x – 3)
Q. The factorisation of 36x2y2 – 1 is
-
(A)
(6xy – 1)(6xy + 1)
-
(B)
(6xy – 1)2
-
(C)
(6xy + 1)2
-
(D)
(6 + xy)2
✅ Correct Answer: (A)
(6xy – 1)(6xy + 1)
Q. 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
Q. The value of (0.68)2 – (0.32)2 is
-
(A)
-1
-
(B)
0
-
(C)
1
-
(D)
0.36
✅ Correct Answer: (D)
0.36
Q. 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)
✅ Correct Answer: (A)
(3x + 4)(x + 2)
Q. 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)
✅ Correct Answer: (A)
(x – 4)(3x – 4)
Q. 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)
✅ Correct Answer: (A)
(2x – 3)(3x + 2)
Q. 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)
✅ Correct Answer: (A)
(2 + x)(3 – 2x)
Q. If x2 – x – 42 = (x + k)(x + 6), then k =
-
(A)
6
-
(B)
-6
-
(C)
7
-
(D)
-7
Q. The value of 3.5 × 3.5 – 2.5 × 2.5 is
-
(A)
-6
-
(B)
6
-
(C)
60
-
(D)
1
Q. If (x – \(\frac{1}{x}\))² = x² + a + \(\frac{1}{x^2}\) then a =
-
(A)
-2
-
(B)
2
-
(C)
2x
-
(D)
-2x
Q. If x = 2, y = -1 then the value of x² -+ 4xy + 4y² is
Q. The quotient of 28x² + 14x is
-
(A)
2
-
(B)
2x
-
(C)
x
-
(D)
x2
Q. The quotient of 12a8b8 + (- a6b6) is
-
(A)
3a2b2
-
(B)
3a2b
-
(C)
3ab2
-
(D)
-3a2b2
✅ Correct Answer: (D)
-3a2b2
Q. 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)
✅ Correct Answer: (B)
3ab(4a + 5(b)
Q. The factorisation of 12x + 36 is
-
(A)
12(x + 3)
-
(B)
12(3x)
-
(C)
12(3x + 1)
-
(D)
x(12 + 36x)
✅ Correct Answer: (A)
12(x + 3)
Q. On factorising 14pq + 35pqr, we get:
-
(A)
pq(14 + 35r)
-
(B)
p(14q + 35qr)
-
(C)
q(14p + 35pr)
-
(D)
7pq(2 + 5r)
✅ Correct Answer: (D)
7pq(2 + 5r)
Q. 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)
✅ Correct Answer: (B)
(3x – 2) (2y – 3)
Q. 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)
✅ Correct Answer: (A)
(x +y) (x + 8)
Q. 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
✅ Correct Answer: (B)
(2y – 3)2
Q. The factors of 49p2 – 36 are
-
(A)
(7p + 6)2
-
(B)
(7p – 6)2
-
(C)
(7p – 6 ) ( 7p + 6)
-
(D)
None of the above
✅ Correct Answer: (C)
(7p – 6 ) ( 7p + 6)
Q. The factors of m2 – 256 are
-
(A)
(m + 4)2
-
(B)
(m – 4)2
-
(C)
(m – 4) (m+4)
-
(D)
None of the above
✅ Correct Answer: (D)
None of the above
Q. 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)
✅ Correct Answer: (A)
(x + 2) (x + 3)
Q. 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)
✅ Correct Answer: (B)
3(m + 1) (m + 2)
8th Class mcqs download, 8th Class mcqs pdf free download, 8th Class free pdf download, 8th Class mcq questions, 8th Class ncert book pdf download,