Questions · Page 5 of 6

M.C.Q. [1 Marks Each]

MCQ 2011 Mark
If $x=2, y=-1$ then the value of $x^{2}-4 x y+4 y^{2}$ is
  • $0$
  • B
    $1$
  • C
    $-1$
  • D
    $2$
Answer
Correct option: A.
$0$
$x^{2}+4 x y+4 y^{2}=(x)^{2}+2(x)(2 y)+(2 y)^{2}$
$=(x+2 y)^{2}=\{2+2(-1)\}^{2}=0$
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MCQ 2021 Mark
If $\left(x-\frac{1}{x}\right)^{2}=x^{2}+a+\frac{1}{x^{2}}$ then $a=$
  • -2
  • B
    2
  • C
    $2 x$
  • D
    $-2 x$
Answer
Correct option: A.
-2
$\left(x-\frac{1}{x}\right)^{2}=x^{2}-2+\frac{1}{x^{2}} \therefore a=-2$
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MCQ 2031 Mark
The value of $3.5 \times 3.5-2.5 \times 2.5$ is
  • A
    $-6$
  • $6$
  • C
    $60$
  • D
    $1$
Answer
Correct option: B.
$6$
Value $=(3.5+2.5)(3.5-2.5)=6 $
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MCQ 2041 Mark
If $x^{2}-x-42=(x+k)(x+6),$ then $k=$
  • A
    $6$
  • B
    $-6$
  • C
    $7$
  • $-7$
Answer
Correct option: D.
$-7$
$x^{2}-x-42$
$=x^{2}-7 x+6 x-42$
$=x(x-7)+6(x-7)$
$=(x-7)(x+6) \therefore k=-7$
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MCQ 2051 Mark
The factorisation of $6-x-2 x^{2}$ is
  • $(2+x)(3-2 x)$
  • B
    $(2+x)(3+2 x)$
  • C
    $(2-x)(3-2 x)$
  • D
    $(2-x)(3+2 x)$
Answer
Correct option: A.
$(2+x)(3-2 x)$
a
$6-x-2 x^{2}$
$=6+3 x-4 x-2 x^{2}$
$=3(2+x)-2 x(2+x)$
$=(2+x)(3-2 x)$
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MCQ 2061 Mark
The factorisation of $6 x^{2}-5 x-6$ is
  • $(2 x-3)(3 x+2)$
  • B
    $(2 x+3)(3 x+2)$
  • C
    $(2 x-3)(3 x-2)$
  • D
    $(2 x+3)(3 x-2)$
Answer
Correct option: A.
$(2 x-3)(3 x+2)$
a
$6 x^{2}-5 x-6$
$=6 x^{2}-9 x+4 x-6$
$=3 x(2 x-3)+2(2 x-3)$
$=(2 x-3)(3 x+2)$
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MCQ 2071 Mark
The factorisation of $3 x^{2}-16 x+16$ is
  • $(x-4)(3 x-4)$
  • B
    $(x+4)(3 x+4)$
  • C
    $(x-4)(3 x+4)$
  • D
    $(x+4)(3 x-4)$
Answer
Correct option: A.
$(x-4)(3 x-4)$
a
$3 x^{2}-16 x+16$
$=3 x^{2}-12 x-4 x+16$
$=3 x(x-4)-4(x-4)$
$=(x-4)(3 x-4)$
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MCQ 2081 Mark
The factorisation of $3 x^{2}+10 x+8$ is
  • $(3 x+4)(x+2)$
  • B
    $(3 x-4)(x-2)$
  • C
    $(3 x+4)(x-2)$
  • D
    $(3 x-4)(x+2)$
Answer
Correct option: A.
$(3 x+4)(x+2)$
a
$3 x^{2}+10 x+8=3 x^{2}+6 x+4 x+8$
$=3 x(x+2)+4(x+2)$
$=(x+2)(3 x+4)$
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MCQ 2091 Mark
The value of $(0.68)^{2}-(0.32)^{2}$ is
  • A
    $-1$
  • B
    $0$
  • C
    $1$
  • $36$
Answer
Correct option: D.
$36$
$(0.68+0.32)(0.68-0.32)=0.36$
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MCQ 2101 Mark
The value of $\frac{0.564 \times 0.564 \times-0.436 \times 0.436}{0.564-0.436}$ is
  • A
    $0$
  • $1$
  • C
    $-1$
  • D
    none of these
Answer
Correct option: B.
$1$
Value $=\frac{(0.564+0.436)(0.564-0.436)}{0.564-0.436}=1$
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MCQ 2111 Mark
The factorisation of $36 x^{2} y^{2}-1$ is
  • $(6 x y-1)(6 x y+1)$
  • B
    $(6 x y-1)^{2}$
  • C
    $(6 x y+1)^{2}$
  • D
    $(6+x y)^{2}$
Answer
Correct option: A.
$(6 x y-1)(6 x y+1)$
a
$36 x^{2} y^{2}-1=(6 x y)^{2}-(1)^{2}$
$=(6 x y-1)(6 x y+1)$
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MCQ 2121 Mark
The factorisation of $x^{2}-9$ is
  • A
    $(x-3)^{2}$
  • B
    $(x+3)^{2}$
  • $(x+3)(x-3)$
  • D
    none of these
Answer
Correct option: C.
$(x+3)(x-3)$
c
$x^{2}-9=(x)^{2}-(3)^{2}=(x-3)(x+3)$
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MCQ 2131 Mark
The value of $\frac{0.73 \times 0.73 \times-0.27 \times 0.27}{0.73-0.27}$ is
  • $1$
  • B
    $0$
  • C
    $0.73$
  • D
    $27$
Answer
Correct option: A.
$1$
Value $=\frac{(0.73+0.27)(0.73-0.27)}{0.73-0.27}=1$
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MCQ 2141 Mark
The factorisation of $\left(\frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}\right) x \neq 0, y \neq 0$ is
  • A
    $\left(\frac{x}{y}+\frac{y}{x}\right)^{2}$
  • $\left(\frac{x}{y}-\frac{y}{x}\right)^{2}$
  • C
    $\left(\frac{x}{y}-1\right)^{2}$
  • D
    $\left(\frac{x}{y}+1\right)^{2}$
Answer
Correct option: B.
$\left(\frac{x}{y}-\frac{y}{x}\right)^{2}$
b
$\frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}$
$=\left(\frac{x}{y}\right)^{2}-2\left(\frac{x}{y}\right)\left(\frac{y}{x}\right)+\left(\frac{y}{x}\right)^{2}$
$=\left(\frac{x}{y}-\frac{y}{x}\right)^{2}$
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MCQ 2151 Mark
The value of $49^{2}$ is
  • $(50)^{2}-2(50)(1)+(1)^{2}$
  • B
    $(50)^{2}+2(50)(1)+(1)^{2}$
  • C
    $(50)^{2}-(1)^{2}$
  • D
    $(\mathrm{d})(50)^{2}+(1)^{2}$
Answer
Correct option: A.
$(50)^{2}-2(50)(1)+(1)^{2}$
a
$49^{2}=(50-1)^{2}$
$=(50)^{2}-2(50)(1)+(1)^{2}$
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MCQ 2161 Mark
The value of $99^{2}$ is
  • $(90)^{2}+2(90)(9)+(9)^{2}$
  • B
    $(90)^{2}-2(90)(9)+(9)^{2}$
  • C
    $(90)^{2}+(9)^{2}$
  • D
    none of these
Answer
Correct option: A.
$(90)^{2}+2(90)(9)+(9)^{2}$
a
$99^{2}=(90+9)^{2}$
$=(90)^{2}+2(90)(9)+(9)^{2}$
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MCQ 2171 Mark
The factorisation $x^{2}+x+\frac{1}{4}$ is
  • A
    $\left(\frac{x}{2}-1\right)^{2}$
  • B
    $\left(\frac{x}{2}+1\right)^{2}$
  • $\left(x+\frac{1}{2}\right)^{2}$
  • D
    $\left(x-\frac{1}{2}\right)^{2}$
Answer
Correct option: C.
$\left(x+\frac{1}{2}\right)^{2}$
c
$x^{2}+x+\frac{1}{4}=x^{2}+2(x)\left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)^{2}$
$=\left(x+\frac{1}{2}\right)^{2}$
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MCQ 2181 Mark
The factorisation $1+16 x+64 x^{2}$ is
  • A
    $(1-8 x)^{2}$
  • $(1+8 x)^{2}$
  • C
    $(8-x)^{2}$
  • D
    $(8+x)^{2}$
Answer
Correct option: B.
$(1+8 x)^{2}$
b
$1+16 x+64 x^{2}$
$=(1) 2+2(1)(8 x)+(8 x)^{2}=(1+8 x)^{2}$
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MCQ 2191 Mark
$0.645 \times 0.645+2 \times 0.645 \times 0.355+0.355 \times 0.355$ is
  • $1$
  • B
    $0$
  • C
    $-1$
  • D
    $2$
Answer
Correct option: A.
$1$
Value $=(0.645+0.355)^{2}=(1)^{2}=1$
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MCQ 2201 Mark
The factorisation of $(1+m)^{2}-4 \mid m$ is
  • $(1-m)^{2}$
  • B
    $(1+m-2)^{2}$
  • C
    $(1+m+2)^{2}$
  • D
    none of these
Answer
Correct option: A.
$(1-m)^{2}$
a
$(1+m)^{2}-4 \ln$
$=\left.\right|^{2}+m^{2}+2 \operatorname{lm}-4 \mid m$
$=\left.\right|^{2}-2 \mid m+m^{2}=(\mid-m)^{2}$
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MCQ 2211 Mark
The factorisation of $(\mathrm{Im}+1)+\mathrm{m}+1$ is
  • $(1+1)(m+1)$
  • B
    (6)$(1-1)(m-1)$
  • C
    $(1+1)(\mathrm{m}-1)$
  • D
    $(1-1)(m+1)$
Answer
Correct option: A.
$(1+1)(m+1)$
a
$|m+|+m+1$
$=\mid(m+1)+1(m+1)$
$=(1+1)(m+1)$
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MCQ 2221 Mark
The factorisation of $\mathrm{am}^{2}+\mathrm{bm}^{2}+\mathrm{bn}^{2}+\mathrm{an}^{2}$ is
  • A
    $(a+b)\left(m^{2}-n^{2}\right)$
  • $(a+b)\left(m^{2}+n^{2}\right)$
  • C
    $(a-b)\left(m^{2}+n^{2}\right)$
  • D
    $(a-b)\left(m^{2}-n^{2}\right)$
Answer
Correct option: B.
$(a+b)\left(m^{2}+n^{2}\right)$
b
$a m^{2}+b m^{2}+b n^{2}+a n^{2}$
$=m^{2}(a+b)+n^{2}(b+a)$
$=(a+b)\left(m^{2}+n^{2}\right)$
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MCQ 2231 Mark
The factorisation of $z^{2}-4 z-12$ is
  • A
    $(z+6)(z+2)$
  • B
    $(z-6)(z-2)$
  • $(z-6)(z+2)$
  • D
    $(z+6)(z-2)$
Answer
Correct option: C.
$(z-6)(z+2)$
c
$z^{3}-4 z-12$
$=z^{2}-6 z+2 z-12$
$=z(z-6)+2(z-6)$
$=(z-6)(z+2)$
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MCQ 2241 Mark
The factorisation of $y^{2}-7 y+12$ is
  • A
    $(y+3)(y+4)$
  • B
    $(y+3)(y-4)$
  • C
    $(y-3)(y+4)$
  • $(y-3)(y-4)$
Answer
Correct option: D.
$(y-3)(y-4)$
d
$y^{2}-7 y+12$
$=y^{2}-3 y-4 y+12$
$=y(y-3)-4(y-3)$
$=(y-3)(y-4)$
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MCQ 2251 Mark
The factorisation of $4 \mathrm{y}^{2}-12 \mathrm{y}+9$ is
  • A
    $(2 y+3)^{2}$
  • $(2 y-3)^{2}$
  • C
    $(3 y+2)^{2}$
  • D
    $(3 y-2)^{2}$
Answer
Correct option: B.
$(2 y-3)^{2}$
b
$4 y^{2}-12 y+9$
$=(2 y)^{2}-2(2 y)(3)+(3)^{2}$
$=(2 y-3)^{2}$
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MCQ 2261 Mark
The factorisation of $x^{2}+8 x+16$ is
  • A
    $(x+2)^{2}$
  • $(x+4)^{2}$
  • C
    $(x-2)^{2}$
  • D
    $(x-A)^{2}$
Answer
Correct option: B.
$(x+4)^{2}$
b
$x^{2}+8 x+16$
$=(x)^{2}+2(x)(4)+(4)^{2}$
$=(x+4)^{2}$
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MCQ 2271 Mark
The factorisation of $x^{2} y^{2}+x y+x y^{2} z+y z+x^{2} y z+x z$ is
  • $(x y+y z+z x)(x y+1)$
  • B
    $(x y+y z+z x)(y z+1)$
  • C
    $(x y+y z+z x)(z x+1)$
  • D
    none of these
Answer
Correct option: A.
$(x y+y z+z x)(x y+1)$
a
$x^{2} y^{2}+x y+x y^{2} z+y z+x^{2} y z+x z$
$=x y(x y+1)+y z(x y+1)+z x(x y+1)$
$=(x y+y z+z x)(x y+1)$
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MCQ 2281 Mark
The factorisation of$x^{2}+x+x y+y+z x+z$ is
  • $(x+y+z)(x+1)$
  • B
    $(x+y+z)(x+y)$
  • C
    $(x+y+z)(y+z)$
  • D
    $(x+y+z)(z+x)$
Answer
Correct option: A.
$(x+y+z)(x+1)$
a
$x^{2}+x+x y+y+z x+z$
$=x(x+1)+y(x+1)+z(x+1)$
$=(x+1)(x+y+z)$
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MCQ 2291 Mark
The factorisation of $a b-a-b+1$ is
  • $(a-1)(b-1)$
  • B
    $(a+1)(b+1)$
  • C
    $(a-1)(b+1)$
  • D
    $(a+1)(b-1)$
Answer
Correct option: A.
$(a-1)(b-1)$
a
$a b-a-b+1$
$=a(b-1)-1(b-1)$
$=(a-1)(b-1)$
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MCQ 2301 Mark
The factorisation of $a x+b x-a y-b y$ is
  • $(x-y)(a+b)$
  • B
    $(x+y)(a+b)$
  • C
    $(x-y)(a-b)$
  • D
    $(x+y)(a-b)$
Answer
Correct option: A.
$(x-y)(a+b)$
a
$a x+b x-a y-b y$
$=x(a+b)-y(a+b)$
$=(x-y)(a+b)$
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MCQ 2311 Mark
The factorisation of $x^{2}+x y+2 x+2 y$ is
  • $(x+2)(x+y)$
  • B
    $(x+2)(x-y)$
  • C
    $(x-2)(x+y)$
  • D
    $(x-2)(x-y)$
Answer
Correct option: A.
$(x+2)(x+y)$
a
$x^{2}+x y+2 x+2 y$
$=x(x+y)+2(x+y)$
$=(x+2)(x+y)$
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MCQ 2321 Mark
The factorisation of $6 x y-4 y+6-9 x$ is
  • $(3 x-2)(2 y-3)$
  • B
    $(3 x+2)(2 y-3)$
  • C
    $(3 x-2)(2 y+3)$
  • D
    $(3 x+2)(2 y+3)$
Answer
Correct option: A.
$(3 x-2)(2 y-3)$
a
$6 x y-4 y+6-9 x$
$=2 y(3 x-2)-3(-2+3 x)$
$=(3 x-2)(2 y-3)$
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MCQ 2331 Mark
$a(x+y+z)+b(x+y+z)+c(x+y+z)$ is
  • $(a+b+c)(x+y+z)$
  • B
    $(a b+b c+c a)(x+y+z)$
  • C
    $(x y+y z+z x)(a+b+c)$
  • D
    none of these
Answer
Correct option: A.
$(a+b+c)(x+y+z)$
a
$a(x+y+z)+b(x+y+z)+c(x+y+z)$
$=(x+y+z)(a+b+c)$
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MCQ 2341 Mark
The factorisation of $a x^{2} y+b x y^{2}+c x y z$ is
  • $x y(a x+b y+c z)$
  • B
    $a x y(a x+b y+c z)$
  • C
    $b x y(a x+b y+c z)$
  • D
    $c x y(a x+b y+c z)$
Answer
Correct option: A.
$x y(a x+b y+c z)$
a
$a x^{2} y+b x y^{2}+c x y z=x y(a x+b y+c z)$
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MCQ 2351 Mark
The factorisation of $x^{2} y z+x y^{2} z+x y z^{2}$ is
  • $x y z(x+y+z)$
  • B
    $x^{2} y z(x+y+z)$
  • C
    $x y^{2} z(x+y+z)$
  • D
    $x y z^{2}(x+y+z)$
Answer
Correct option: A.
$x y z(x+y+z)$
a
$x^{2} y z+x y^{2} z+x y z^{2}=x y z(x+y+z)$
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MCQ 2361 Mark
The factorisation of $a^{3}+a^{2} b+a b^{2}$ is
  • $a\left(a^{2}+a b+b^{2}\right)$
  • B
    $6\left(a^{2}+a b+b^{2}\right)$
  • C
    $a b\left(a^{2}+a b+b^{2}\right)$
  • D
    rectangle
Answer
Correct option: A.
$a\left(a^{2}+a b+b^{2}\right)$
a
$a^{3}+a^{2} b+a b^{2}=a\left(a^{2}+a b+b^{2}\right)$
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MCQ 2371 Mark
The factorisation of $28 a^{3} b^{5}-42 a^{5} b^{3}$ is
  • $14 a^{3} b^{3}\left(2 b^{2}-3 a^{2}\right)$
  • B
    $14 a^{2} b^{3}\left(2 b^{2}-3 a^{2}\right)$
  • C
    $14 a^{3} b^{2}\left(2 b^{2}-3 a^{2}\right)$
  • D
    none of these
Answer
Correct option: A.
$14 a^{3} b^{3}\left(2 b^{2}-3 a^{2}\right)$
a
$28 a^{3} b^{5}-42 a^{5} b^{3}=14 a^{3} b^{3}\left(2 b^{2}-3 a^{2}\right)$
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MCQ 2381 Mark
The factorisation of $6 x+12 y$ is
  • $6(x+2 y)$
  • B
    $3(x+4 y)$
  • C
    $2(3 x+12 y)$
  • D
    none of these
Answer
Correct option: A.
$6(x+2 y)$
a
$6 x+12 y=6(x+2 y)$
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MCQ 2391 Mark
The factorisation of $6 x-42$ is
  • $6(x-7)$
  • B
    $3(x-7)$
  • C
    $2(x-7)$
  • D
    24 cm
Answer
Correct option: A.
$6(x-7)$
a
$6 x-42=6(x-7)$
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MCQ 2401 Mark
The factorisation of $10 x^{2}-18 x^{3}+14 x^{4}$ is
  • $2 x^{2}\left(7 x^{2}-9 x+5\right)$
  • B
    $2 x\left(7 x^{2}-9 x+5\right)$
  • C
    $2\left(7 x^{2}-9 x+5\right)$
  • D
    $2 x^{3}\left(7 x^{2}-9 x+5\right)$
Answer
Correct option: A.
$2 x^{2}\left(7 x^{2}-9 x+5\right)$
a$10 x^{2}-18 x^{3}+14 x^{3}=2 x^{2}\left(5-9 x+7 x^{2}\right)$
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MCQ 2411 Mark
The factorisation of $12 \mathrm{a}^{2} \mathrm{b}+15 \mathrm{ab}^{2}$ is
  • $3 a b(4 a+5 b)$
  • B
    $3 a^{2} b(4 a+5 b)$
  • C
    $3 a b^{2}(4 a+5 b)$
  • D
    $3 a^{2} b^{2}(4 a+5 b)$
Answer
Correct option: A.
$3 a b(4 a+5 b)$
a
$12 a^{2} b+15 a b^{2}=3 a b(4 a+5 b)$
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MCQ 2421 Mark
The common factor of $36 \mathrm{p}^{2} \mathrm{q}^{3} \mathrm{x}^{4}, 48 \mathrm{pq}^{3} \mathrm{x}^{2}$ and $54 \mathrm{p}^{3} \mathrm{q}^{3} \mathrm{x}^{4}$ is
  • $6 \mathrm{pq}^{3} \mathrm{x}^{2}$
  • B
    $36 p q^{3} x^{2}$
  • C
    $54 \mathrm{pq}^{3} \mathrm{x}^{2}$
  • D
    $48 p q^{3} x^{2}$
Answer
Correct option: A.
$6 \mathrm{pq}^{3} \mathrm{x}^{2}$
a
$36 p^{2} q^{3} x^{4}=2 \times 2 \times 3 \times 3 \times p \times p \times q \times q \times q \times x \times x \times x \times x$
$48 p q^{3} x^{2}=2 \times 2 \times 2 \times 2 \times 3 \times p \times q \times q \times q \times x \times x$
$p^{3} q^{3} x^{4}=p \times p \times p \times q \times q \times q \times x \times x \times x \times x$
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MCQ 2431 Mark
The common factor of $72 x^{3} y^{4} z^{4}, 120 z^{2} d^{4} x^{4}$ and $96 y^{3} z^{4} d^{4}$ is
  • A
    $96 z^{3}$
  • B
    $120 z^{3}$
  • C
    $72 z^{3}$
  • $24 z^{2}$
Answer
Correct option: D.
$24 z^{2}$
d
$72 x^{3} y^{4} z^{4}=2 \times 2 \times 2 \times 3 \times 3 \times x \times x \times x \times y \times y \times y \times y \times z \times z \times z \times z$
$120 z^{2} d^{4} x^{4}=2 \times 2 \times 2 \times 3 \times 5 \times z \times z \times d \times d \times d \times d \times x \times x \times x \times x$
$96 y^{3} z^{4} d^{4}=2 \times 2 \times 2 \times 2 \times 2 \times 3 \times y \times y \times z \times z \times z \times z \times d \times d \times d \times d$
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MCQ 2441 Mark
The common factor of $24 x^{3} y^{4}, 36 x^{4} z^{4}$ and $48 x^{3} y^{2} z$ is
  • $12 x^{3}$
  • B
    $24 x^{3}$
  • C
    $36 x^{3}$
  • D
    (d) $48 x^{3}$
Answer
Correct option: A.
$12 x^{3}$
a
$24 \mathrm{x}^{3} \mathrm{y}^{4}=2 \times 2 \times 2 \times 3 \times \mathrm{x} \times \mathrm{x} \times \mathrm{x} \times \mathrm{y} \times \mathrm{y} \times \mathrm{y} \times \mathrm{y}$
$36 \mathrm{x}^{4} \mathrm{z}^{4}=2 \times 2 \times 3 \times 3 \times \mathrm{x} \times \mathrm{x} \times \mathrm{x} \times \mathrm{x} \times \mathrm{z} \times \mathrm{z} \times \mathrm{z} \times \mathrm{z}$
$48 \mathrm{x}^{3} \mathrm{y}^{2} \mathrm{z}=2 \times 2 \times 2 \times 2 \times 3 \times \mathrm{x} \times \mathrm{x} \times \mathrm{x} \times \mathrm{y} \times \mathrm{y} \times \mathrm{z}$
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MCQ 2451 Mark
The common factor of $3 a^{2} b^{4} c^{2}, 12 b^{2} c^{4}$ and $15 a^{3} b^{4} c^{4}$ is
  • A
    $b^{4} c^{4}$
  • $3 b^{2} c^{2}$
  • C
    $15 \mathrm{b}^{2} \mathrm{c}^{4}$
  • D
    $12 \mathrm{b}^{2} \mathrm{c}^{4}$
Answer
Correct option: B.
$3 b^{2} c^{2}$
b
$3 a^{2} b^{4} c^{2}=3 \times a \times a \times b \times b \times b \times b \times c \times c$ $12 b^{2} c^{4}=2 \times 2 \times 3 \times b \times b \times c \times c \times c \times c$ $15 a^{3} b^{4} c^{4}=3 \times 5 \times a \times a \times a \times b \times b \times b \times b \times c \times c \times c \times c$
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MCQ 2461 Mark
The common factor of $2 a^{2} b^{4} c^{2}, 8 a^{4} b^{3} c^{4}$ and $6 a^{3} b^{4} c^{2}$ is
  • $2 a^{2} b^{3} c^{2}$
  • B
    $6 a^{2} b^{3} c^{2}$
  • C
    $8 a^{2} b^{3} c^{2}$
  • D
    $a^{2}$
Answer
Correct option: A.
$2 a^{2} b^{3} c^{2}$
a
$6 a^{2} b^{4} c^{2}=2 \times a \times a \times b \times b \times b \times b \times c \times c \times c \times c$ $8 a^{4} b^{3} c^{4}=2 \times 2 \times 2 \times a \times a \times a \times a \times b \times b \times b \times c \times c \times c \times c$ $6 a^{3} b^{4} c^{2}=2 \times 3 \times a \times a \times a \times b \times b \times b \times b \times c \times c$
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MCQ 2471 Mark
The common factor of $6 a^{3} b^{4} c^{2}, 21 a^{2} b$ and $15 a^{3}$ is
  • $3 a^{2}$
  • B
    $3 a^{3}$
  • C
    $6 a^{3}$
  • D
    $6 a^{2}$
Answer
Correct option: A.
$3 a^{2}$
a
$6 a^{3} b^{4} c^{2}=2 \times 3 \times a \times a \times a \times b \times b \times b \times b \times c \times c$ $21 a^{2} b=3 \times 7 \times a \times a \times a$ $15 a^{3} 64 c 4=3 \times 5 \times a \times a \times a$
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MCQ 2481 Mark
The common factor of $8 a^{2} b^{4} c^{2}, 12 a^{4} b c^{4}$ and $20 a^{3} b^{4}$ is
  • A
    $a^{4} b^{4}$
  • B
    $a^{2} b^{2}$
  • C
    $4 a^{2} b^{2}$
  • $4 a^{2} b$
Answer
Correct option: D.
$4 a^{2} b$
d
$8 a^{2} b^{4} c^{2}=2 \times 2 \times 2 \times a \times a \times b \times b \times b \times b \times c \times c$
$12 a^{4} b c^{2}=2 \times 2 \times 3 \times a \times a \times a \times a \times b \times c \times c$
$20 a^{3} b^{4}=2 \times 2 \times 5 \times a \times a \times a \times b \times b \times b \times b$
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MCQ 2491 Mark
The common factor of $14 \mathrm{a}^{2} \mathrm{b}$ and $35 \mathrm{a}^{4} \mathrm{b}^{2}$ is
  • A
    $a^{4} b^{2}$
  • B
    $35 a^{4} b^{2}$
  • C
    $14 a^{2} b$
  • $7 a^{2} b$
Answer
Correct option: D.
$7 a^{2} b$
d
$14 a^{2} b=2 \times 7 \times a \times a \times b$
$35 a^{4} b^{2}=5 \times 7 \times a \times a \times a \times a \times b \times b$
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MCQ 2501 Mark
The common factor of $10ab, 30bc, 50ca$ is
  • $10$
  • B
    $30$
  • C
    $50$
  • D
    $abc$
Answer
Correct option: A.
$10$
$10 a b=2 \times 5 \times a \times b$
$30 b c=2 \times 3 \times 5 \times b \times c$
$50 c a=2 \times 5 \times 5 \times c \times a$
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M.C.Q. [1 Marks Each] - Page 5 - MATHS STD 8 Questions - Vidyadip