MCQ 11 Mark
Tick $(\checkmark)$ the correct answer : $(x + 5)(x - 3) = ?$
- A
$ x^2+5 x-15 $
- B
$ x^2-3 x-15 $
- C
$ x^2+2 x+15 $
- ✓
$ x^2+2 x-15 $
AnswerCorrect option: D. $ x^2+2 x-15 $
$(x + 5)(x - 3)$
$(x)^2+ (5 - 3)x + 5 \times (-3)$
$ = x^2+2 x-15 $
View full question & answer→MCQ 21 Mark
Tick $(\checkmark)$ the correct answer: If $\Big(\text{x}+\frac{1}{\text{x}}\Big)=5,$ then $\Big(\text{x}^2+\frac{1}{\text{x}^2}\Big)=?$
- A
$25$
- B
$27$
- ✓
$23$
- D
$25\frac{1}{25}$
Answer$\Big(\text{x}+\frac{1}{\text{x}}\Big)=5,$
$\Big(\text{x}+\frac{1}{\text{x}}\Big)^2=(5)^2$
$\Rightarrow\text{x}^2+\frac{1}{\text{x}^2}+2=25$
$\Rightarrow\text{x}^2+\frac{1}{\text{x}^2}+25-2=23$
View full question & answer→MCQ 31 Mark
Tick $(\checkmark)$ the correct answer : $\left(2 x^2+3 x+1\right) \div(x+1)=$ ?
- A
$(x + 1)$
- ✓
$(2x + 1)$
- C
$(x + 3)$
- D
$(2x + 3)$
AnswerCorrect option: B. $(2x + 1)$
$(2x + 1)$
View full question & answer→MCQ 41 Mark
Tick $(\checkmark)$ the correct answer: $\left(2 x^2+3 x+1\right) \div(x+1)=?$
- A
$(x + 1)$
- ✓
$(2x + 1)$
- C
$(x + 3)$
- D
$(2x + 3)$
AnswerCorrect option: B. $(2x + 1)$
$(2x + 1)$
View full question & answer→MCQ 51 Mark
Tick $(\checkmark)$ the correct answer: $8a^2b^3÷ (-2ab) = ?$
- A
$ 4 a b^2 $
- B
$ 4 a^2 b $
- ✓
$ -4 a b^2 $
- D
$ -4 a^2 b $
AnswerCorrect option: C. $ -4 a b^2 $
$8\text{a}^2\text{b}^3\div(-2\text{ab})$
$\Rightarrow\frac{8\text{a}^2\text{b}^3}{-2\text{ab}}$
$\Rightarrow-4\text{a}^{2-1}\text{b}^{3-1}$
View full question & answer→MCQ 61 Mark
Tick $(\checkmark)$ the correct answer: The sum of $(6a + 4b − c + 3), (2b − 3c + 4), (11b − 7a + 2c − 1)$ and $(2c − 5a − 6)$ is:
- A
$(4a - 6b + 2)$
- B
$(-3a + 14b - 3c + 2)$
- ✓
$(-6a + 17b)$
- D
$(-6a + 6b + c - 4)$
AnswerCorrect option: C. $(-6a + 17b)$
$(-6a + 17b)$
View full question & answer→MCQ 71 Mark
Tick $(\checkmark)$ the correct answer : If $(a - b) = 7$ and $ab = 9,$ then $(a^2+ b^2) = ?$
Answer$a - b = 7$
$ab = 9$
$ a^2+b^2=(a-b)^2+2 a b $
$ =(7)^2+2 \times 9 $
$= 49 + 18$
$= 67$
View full question & answer→MCQ 81 Mark
Tick $(\checkmark)$ the correct answer : $(82)^2-(18)^2= ?$
- A
$8218$
- B
$6418$
- ✓
$6400$
- D
$7204$
AnswerCorrect option: C. $6400$
$(82)^2-(18)^2$
$= (82 + 18)(82 - 18)$
$= 100 \times 64$
$= 6400$
View full question & answer→MCQ 91 Mark
Tick $(\checkmark)$ the correct answer: If $\Big(\text{x}-\frac{1}{\text{x}}\Big)=6,$ then $\Big(\text{x}^2+\frac{1}{\text{x}^2}\Big)=?$
- A
$36$
- ✓
$38$
- C
$32$
- D
$36\frac{1}{36}$
Answer$\Big(\text{x}-\frac{1}{\text{x}}\Big)=6,$
Squaring on both sides
$\Big(\text{x}-\frac{1}{\text{x}}\Big)^2=(6)^2$
$\Rightarrow\text{x}^2+\frac{1}{\text{x}^2}-2=36$
$\Rightarrow\text{x}^2+\frac{1}{\text{x}^2}=36+2=38$
View full question & answer→MCQ 101 Mark
Tick $(\checkmark)$ the correct answer : $ \left(3 q+7 p^2-2 r^3+4\right)-\left(4 p^2-2 q+7 r^3-3\right) = ?$
- A
$ \left(p^2+2 q+5 r^3+1\right) $
- B
$ \left(11 p^2+q+5 r^3+1\right) $
- C
$ \left(-3 p^2-5 q+9 r^3-7\right) $
- ✓
$ \left(3 p^2+5 q-9 r^3+7\right) $
AnswerCorrect option: D. $ \left(3 p^2+5 q-9 r^3+7\right) $
$ \left(3 q+7 p^2-2 r^3+4\right)-\left(4 p^2-2 q+7 r^3-3\right) $
$ =3 q+7 p^2-2 r^3+4-4 p^2+2 q-7 r^3+3 $
$ =5 q+3 p^2-9 r^3+7 $
$ =3 p^2+5 q-9 r^3+7 $
View full question & answer→MCQ 111 Mark
Tick $(\checkmark)$ the correct answer : $ (a+1)(a-1)\left(a^2+1\right) = ?$
AnswerCorrect option: C. $ \left(a^4-1\right) $
$ (a+1)(a-1)\left(a^2+1\right) $
$ =\left(a^2-1\right)\left(a^2+1\right) $
$ =a^4-1 $
View full question & answer→MCQ 121 Mark
Tick $(\checkmark)$ the correct answer : $(2x + 5)(2x - 5) = ?$
- A
$ \left(4 x^2+25\right) $
- ✓
$ \left(4 x^2-25\right) $
- C
$ \left(4 x^2-10 x+25\right) $
- D
$ \left(4 x^2+10 x-25\right) $
AnswerCorrect option: B. $ \left(4 x^2-25\right) $
$ (2x + 5)(2x - 5)$
$= (2x)^2- (5)^2$
$= \left(4 x^2-25\right) $
View full question & answer→MCQ 131 Mark
Tick $(\checkmark)$ the correct answer : If $x = 10,$ then the value of $(4x^2+ 20x + 25) = ?$
Answer$ x = 10$
$ =\left(4 x^2+20 x+25\right) $
$ =(2 x)^2+2 \times 2 x \times 5+(5)^2 $
$ =(2 x+5)^2 $
$ =(2 \times 10+5)^2 $
$ =(20+5)^2 $
$ =(25)^2 $
$= 625$
View full question & answer→MCQ 141 Mark
Tick $(\checkmark)$ the correct answer : $(2x + 3)(3x - 1) = ?$
- A
$ \left(6 x^2+8 x-3\right) $
- ✓
$ \left(6 x^2+7 x-3\right) $
- C
$ 6 x^2-7 x-3 $
- D
$ \left(6 x^2-7 x+3\right) $
AnswerCorrect option: B. $ \left(6 x^2+7 x-3\right) $
$ (2x + 3)(3x - 1)$
$= \left(6 x^2-2x+9x-3\right) $
$= 6x^2+ 7x - 3$
View full question & answer→MCQ 151 Mark
Tick $(\checkmark)$ the correct answer: $(197 \times 203) = ?$
- ✓
$39991$
- B
$39999$
- C
$40009$
- D
$40001$
AnswerCorrect option: A. $39991$
$(197 \times 203)$
$= (200 - 3)(200 + 3)$
$=(200)^2-(3)^2$
$= 40000 - 9$
$= 39991$
View full question & answer→MCQ 161 Mark
Tick $(\checkmark)$ the correct answer: $\Big(\frac{1}{\text{x}}+\frac{1}{\text{y}}\Big)\Big(\frac{1}{\text{x}}-\frac{1}{\text{y}}\Big)=?$
- ✓
$\Big(\frac{1}{\text{x}^2}-\frac{1}{\text{y}2}\Big)$
- B
$\Big(\frac{1}{\text{x}^2}+\frac{1}{\text{y}2}\Big)$
- C
$\Big(\frac{1}{\text{x}^2}+\frac{1}{\text{y}^2}-\frac{1}{\text{xy}}\Big)$
- D
$\Big(\frac{1}{\text{x}^2}-\frac{1}{\text{y}^2}+\frac{1}{\text{xy}}\Big)$
AnswerCorrect option: A. $\Big(\frac{1}{\text{x}^2}-\frac{1}{\text{y}2}\Big)$
$\Big(\frac{1}{\text{x}}+\frac{1}{\text{y}}\Big)\Big(\frac{1}{\text{x}}-\frac{1}{\text{y}}\Big)$
$=\Big(\frac{1}{\text{x}}\Big)^2-\Big(\frac{1}{\text{y}}\Big)^2$
$=\frac{1}{\text{x}^2}-\frac{1}{\text{y}^2}$
View full question & answer→MCQ 171 Mark
If $x=10$, then the value of $\left(4 x^2+20 x+25\right)=$ ?
View full question & answer→MCQ 181 Mark
If $(a-b)=7$ and $a b=9$, then $\left(a^2+b^2\right)=?$
View full question & answer→MCQ 191 Mark
If $(a+b)=12$ and $a b=14$, then $\left(a^2+b^2\right)=$ ?
View full question & answer→MCQ 201 Mark
$(197 \times 203)=?$
View full question & answer→MCQ 211 Mark
$(82)^2-(18)^2=?$
View full question & answer→MCQ 221 Mark
If $\left(x-\frac{1}{x}\right)=6$, then $\left(x^2+\frac{1}{x^2}\right)=$ ?
View full question & answer→MCQ 231 Mark
If $\left(x+\frac{1}{x}\right)=5$, then $\left(x^2+\frac{1}{x^2}\right)=$ ?
View full question & answer→MCQ 241 Mark
$\left(\frac{1}{x}+\frac{1}{y}\right)\left(\frac{1}{x}-\frac{1}{y}\right)=?$
- ✓
$\left(\frac{1}{x^2}-\frac{1}{y^2}\right)$
- B
$\left(\frac{1}{x^2}+\frac{1}{y^2}\right)$
- C
$\left(\frac{1}{x^2}+\frac{1}{y^2}-\frac{1}{x y}\right)$
- D
$\left(\frac{1}{x^2}-\frac{1}{y^2}+\frac{1}{x y}\right)$
AnswerCorrect option: A. $\left(\frac{1}{x^2}-\frac{1}{y^2}\right)$
View full question & answer→MCQ 251 Mark
$(a+1)(a-1)\left(a^2+1\right)=?$
AnswerCorrect option: C. $\left(a^4-1\right)$
View full question & answer→MCQ 261 Mark
$\left(x^2-4 x+4\right) \div(x-2)=?$
- ✓
$(x-2)$
- B
$(x+2)$
- C
$(2-x)$
- D
$\left(2+x+x^2\right)$
AnswerCorrect option: A. $(x-2)$
View full question & answer→MCQ 271 Mark
$\left(2 x^2+3 x+1\right) \div(x+1)=?$
- A
$(x+1)$
- ✓
$(2 x+1)$
- C
$(x+3)$
- D
$(2 x+3)$
AnswerCorrect option: B. $(2 x+1)$
View full question & answer→MCQ 281 Mark
$8 a^2 b^3 \div(-2 a b)=?$
- A
$4 a b^2$
- B
$4 a^2 b$
- ✓
$-4 a b^2$
- D
$-4 a^2 b$
AnswerCorrect option: C. $-4 a b^2$
View full question & answer→MCQ 291 Mark
$(2 x+5)(2 x-5)=?$
AnswerCorrect option: B. $\left(4 x^2-25\right)$
View full question & answer→MCQ 301 Mark
$(x-6)(x-6)=?$
AnswerCorrect option: D. $\left(x^2-12 x+36\right)$
View full question & answer→MCQ 311 Mark
$(x+4)(x+4)=?$
AnswerCorrect option: C. $\left(x^2+8 x+16\right)$
View full question & answer→MCQ 321 Mark
$(2x+3)(3x-1)=?$
- A
$\left(6 x^2+8 x-3\right)$
- ✓
$\left(6 x^2+7 x-3\right)$
- C
$6 x^2-7 x-3$
- D
$\left(6 x^2-7 x+3\right)$
AnswerCorrect option: B. $\left(6 x^2+7 x-3\right)$
View full question & answer→MCQ 331 Mark
$(x+5)(x-3)=?$
- A
$x^2+5 x-15$
- B
$x^2+3 x-15$
- C
$x^2+2 x+15$
- ✓
$x^2+2 x-15$
AnswerCorrect option: D. $x^2+2 x-15$
View full question & answer→MCQ 341 Mark
The sum of $(6 a+4 b-c+3),(2 b-3 c+4),(11 b-7 a+2 c-1)$ and $(2 c-5 a-6)$ is
- A
$(4 a-6 b+2)$
- B
$(-3 a+14 b-3 c+2)$
- ✓
$(-6 a+17 b)$
- D
$(-6 a+6 b+c-4)$
AnswerCorrect option: C. $(-6 a+17 b)$
View full question & answer→