MCQ 511 Mark
The value of $249^2-248^2$ is
View full question & answer→MCQ 521 Mark
The coefficient of $x$ in $(x+3)^3$ is
View full question & answer→MCQ 531 Mark
If $9 x^2-b=\left(3 x+\frac{1}{2}\right)\left(3 x-\frac{1}{2}\right)$, then the value of $b$ is
- A
$0$
- B
$\frac{1}{\sqrt{2}}$
- ✓
$\frac{1}{4}$
- D
$\frac{1}{2}$
AnswerCorrect option: C. $\frac{1}{4}$
View full question & answer→MCQ 541 Mark
One of the factors of $(5 x+1)^2-(5 x-1)^2$ is
View full question & answer→MCQ 551 Mark
If $49 a^2-b=\left(7 a+\frac{1}{2}\right)\left(7 a-\frac{1}{2}\right)$, then the value of $b$ is
- A
$0$
- ✓
$\frac{1}{4}$
- C
$\frac{1}{\sqrt{2}}$
- D
$\frac{1}{2}$
AnswerCorrect option: B. $\frac{1}{4}$
View full question & answer→MCQ 561 Mark
If $\frac{a}{b}+\frac{b}{a}=1$, then $a^3+b^3=$
View full question & answer→MCQ 571 Mark
The product $\left(x^2-1\right)\left(x^4+x^2+1\right)$ is equal to
- A
$x^8-1$
- B
$x^8+1$
- ✓
$x^6-1$
- D
$x^6+1$
AnswerCorrect option: C. $x^6-1$
View full question & answer→MCQ 581 Mark
The product $(a+b)(a-b)\left(a^2-a b+b^2\right)\left(a^2+a b+b^2\right)$ is equal to
- A
$a^6+b^6$
- ✓
$a^6-b^6$
- C
$a^3-b^3$
- D
$a^3+b^3$
AnswerCorrect option: B. $a^6-b^6$
View full question & answer→MCQ 591 Mark
$\frac{\left(a^2-b^2\right)^3+\left(b^2-c^2\right)^3+\left(c^2-a^2\right)^3}{(a-b)^3+(b-c)^3+(c-a)^3}=$
- A
$3(a+b)(b+c)(c+a)$
- B
$3(a-b)(b-c)(c-a)$
- C
$(a-b)(b-c)(c-a)$
- ✓
$(a+b)(b+c)(c+a)$
AnswerCorrect option: D. $(a+b)(b+c)(c+a)$
View full question & answer→MCQ 601 Mark
If $a+b+c=9$ and $a b+b c+c a=23$, then $a^3+b^3+c^3-3 a b c=$
View full question & answer→MCQ 611 Mark
If $a^{1 / 3}+b^{1 / 3}+c^{1 / 3}=0$, then
- A
- ✓
$(a+b+c)^3=27 a b c$
- C
$a+b+c=3 a b c$
- D
$a^3+b^3+c^3=0$
AnswerCorrect option: B. $(a+b+c)^3=27 a b c$
View full question & answer→MCQ 621 Mark
If $a+b+c=0$, then $\frac{a^2}{b c}+\frac{b^2}{c a}+\frac{c^2}{a b}=$
View full question & answer→MCQ 631 Mark
If $a^2+b^2+c^2-a b-b c-c a=0$, then
View full question & answer→MCQ 641 Mark
If $3 x+\frac{2}{x}=7$, then $\left(9 x^2-\frac{4}{x^2}\right)=$
View full question & answer→MCQ 651 Mark
If $x-\frac{1}{x}=\frac{15}{4}$, then $x+\frac{1}{x}=$
- A
- ✓
$\frac{17}{4}$
- C
$\frac{13}{4}$
- D
$\frac{1}{4}$
AnswerCorrect option: B. $\frac{17}{4}$
View full question & answer→MCQ 661 Mark
If $x^4+\frac{1}{x^4}=194$, then $x^3+\frac{1}{x^3}=$
View full question & answer→MCQ 671 Mark
If $x^4+\frac{1}{x^4}=623$, then $x+\frac{1}{x}=$
- A
- B
- ✓
$3 \sqrt{3}$
- D
$-3 \sqrt{3}$
AnswerCorrect option: C. $3 \sqrt{3}$
View full question & answer→MCQ 681 Mark
$(x-y)(x+y)\left(x^2+y^2\right)\left(x^4+y^4\right)$ is equal to
- A
$x^{16}-y^{16}$
- ✓
$x^8-y^8$
- C
$x^8+y^8$
- D
$x^16+y^16$
AnswerCorrect option: B. $x^8-y^8$
View full question & answer→MCQ 691 Mark
$75 \times 75+2 \times 75 \times 25+25 \times 25$ is equal to
View full question & answer→MCQ 701 Mark
If the volume of a cuboid is $3 x^2-27$, then its possible dimensions are
- A
$3, x^2,-27 x$
- ✓
$3, x-3, x+3$
- C
$3, x^2, 27 x$
- D
AnswerCorrect option: B. $3, x-3, x+3$
View full question & answer→MCQ 711 Mark
If $a-b=-8$ and $a b=-12$, then $a^3-b^3=$
View full question & answer→MCQ 721 Mark
If $a+b=3$ and $a b=2$, then $a^3+b^3=$
View full question & answer→MCQ 731 Mark
$(a-b)^3+(b-c)^3+(c-a)^3=$
AnswerCorrect option: C. $3(a-b)(b-c)(c-a)$
View full question & answer→MCQ 741 Mark
If $a+b+c=9$ and $a b+b c+c a=23$, then $a^2+b^2+c^2=$
View full question & answer→MCQ 751 Mark
If $x^3-\frac{1}{x^3}=14$, then $x-\frac{1}{x}=$
View full question & answer→MCQ 761 Mark
If $x^3+\frac{1}{x^3}=110$, then $x+\frac{1}{x}=$
View full question & answer→MCQ 771 Mark
If $x^2+\frac{1}{x^2}=102$, then $x-\frac{1}{x}=$
View full question & answer→MCQ 781 Mark
If $x+\frac{1}{x}=3$, then $x^6+\frac{1}{x^6}=$
View full question & answer→MCQ 791 Mark
If $x+\frac{1}{x}=4$, then $x^4+\frac{1}{x^4}=$
View full question & answer→MCQ 801 Mark
If $x+\frac{1}{x}=2$, then $x^3+\frac{1}{x^3}=$
View full question & answer→MCQ 811 Mark
If $x+\frac{1}{x}=5$, then $x^2+\frac{1}{x^2}=$
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