MCQ 11 Mark
Which of the following is equal to 1 ?
- A
$15^2+15^{-2}$
- B
$15^2-15^{-2}$
- ✓
$15^2 \times 15^{-2}$
- D
$\frac{15^2}{15^{-2}}$
AnswerCorrect option: C. $15^2 \times 15^{-2}$
View full question & answer→MCQ 21 Mark
The value of $(-1)^0-(-1)^1-(-1)^2-(-1)^3 \ldots-(-1)^{10}$ is :
View full question & answer→MCQ 31 Mark
The value of $\left(2^{-1} \times 2^2 \times 2^{-3} \times 2^4 \times 2^{-5} \times 2^6 \times 2^{-7} \times 2^8 \times 2^{-9} \times 2^{10}\right)^{-1}$ is :
AnswerCorrect option: C. $\frac{1}{32}$
View full question & answer→MCQ 41 Mark
The value of $4.2 \times 10^{-15}+42 \times 10^{-16}+4.2 \times 10^{-14}$ is :
- A
$5 \times 10^{-14}$
- B
$5.4 \times 10^{-15}$
- ✓
$5.04 \times 10^{-14}$
- D
$5.04 \times 10^{-15}$
AnswerCorrect option: C. $5.04 \times 10^{-14}$
View full question & answer→MCQ 51 Mark
On simplifying $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^3\right]^{\frac{1}{4}}$, we get:
View full question & answer→MCQ 61 Mark
Which of the following is equal to $x$ ?
- A
$x^{\frac{12}{7}}-x^{\frac{5}{7}}$
- ✓
$\left(\sqrt{x^3}\right)^{\frac{2}{3}}$
- C
$x^{\frac{12}{7}} \times x^{\frac{7}{12}}$
- D
$\sqrt[12]{\left(x^4\right)^{\frac{1}{3}}}$
AnswerCorrect option: B. $\left(\sqrt{x^3}\right)^{\frac{2}{3}}$
View full question & answer→MCQ 71 Mark
Assertion (A) : If we divide $3^{-2}$ by $3^4$, we get $9^3$.
Reason (R) : $\left(\frac{x}{y}\right)^{-m}=\frac{y^{-m}}{x^{-m}}$
View full question & answer→MCQ 81 Mark
Assertion (A) : $\left(x^{-1}-y^{-1}\right) \times(x-y)^{-1}=x^{-1} y^{-1}$
Reason $( R )$ : For any non-zero number $x, x^{-1}=\frac{1}{x}$
View full question & answer→MCQ 91 Mark
Assertion (A) : Value of $\left(\frac{8}{162}\right)^{-1.5}$ is $\left(\frac{729}{8}\right)$.
Reason (R) : $x^m \times y^n=(x y)^{m+n}$
View full question & answer→MCQ 101 Mark
$\left(x^a\right)^{b-c}\left(x^b\right)^{c-a}\left(x^c\right)^{a-b}=$
View full question & answer→MCQ 111 Mark
If $x=0.1$, then the value of $\left[1-\left[1-\left(1-x^3\right)^{-1}\right]^{-1}\right]^{-1 / 3}$ is :
View full question & answer→MCQ 121 Mark
\[\frac{9\left(4^x\right)^2}{16^{x+1}-2^{x+1} \cdot 8^x}=\]
- A
- B
- C
$\frac{14}{9}$
- ✓
$\frac{9}{14}$
AnswerCorrect option: D. $\frac{9}{14}$
View full question & answer→MCQ 131 Mark
If $l^x=m^y=n^z$ and $l m n=1$, then $y z+z x+x y=$
View full question & answer→MCQ 141 Mark
If $2^{x+1}+2^x=3$, then $3^x+3^{-x}=$
View full question & answer→MCQ 151 Mark
If $\left(2^5+0.125\right)^2-\left(2^5-0.125\right)^2=2^x$, then the value of $x$ is :
View full question & answer→MCQ 161 Mark
If $4^x=8^y$, then $x: y=$
View full question & answer→MCQ 171 Mark
If $2^{x+3}+2^{x+1}=320$, then $x=$
View full question & answer→MCQ 181 Mark
If $4 \times 2^{x+3}=8^{x+1}$, then $2^x=$
View full question & answer→MCQ 191 Mark
If $9 \times 81^x=\frac{1}{27^{x-3}}$, then $x=$
View full question & answer→MCQ 201 Mark
If $3^x=3^{-x}$, then $(1.2)^x=$
View full question & answer→MCQ 211 Mark
$(81)^{0.13} \times(81)^{0.12}=$
- A
- ✓
- C
$\sqrt{3}$
- D
$\frac{1}{\sqrt{3}}$
View full question & answer→MCQ 221 Mark
$\frac{\sqrt{5 \times 3^{-3}} \times \sqrt[6]{5 \times 3^6}}{\sqrt[6]{5} \sqrt{3}}=$
- A
$\sqrt{\frac{3}{5}}$
- B
$\sqrt{\frac{5}{3}}$
- C
$\frac{3}{5}$
- ✓
$\frac{\sqrt{5}}{3}$
AnswerCorrect option: D. $\frac{\sqrt{5}}{3}$
View full question & answer→MCQ 231 Mark
$\left\{\left(\sqrt[3]{a^4}\right)^{-\frac{3}{2}}\right\}^{-\frac{1}{2}}=$
- ✓
$a$
- B
$a^2$
- C
$\frac{1}{a}$
- D
$\frac{1}{a^2}$
View full question & answer→MCQ 241 Mark
$128 \times 32^{-\frac{4}{3}}=$
- A
$\sqrt[3]{4}$
- ✓
$\sqrt[3]{2}$
- C
- D
AnswerCorrect option: B. $\sqrt[3]{2}$
View full question & answer→MCQ 251 Mark
$\left(x^a\right)^{b-c}\left(x^b\right)^{c-a}\left(x^c\right)^{a-b}=$
View full question & answer→MCQ 261 Mark
If $x=0.1$, then the value of $\left[1-\left\{1-\left(1-x^3\right)^{-1}\right\}^{-1}\right]^{-1 / 3}$ is :
View full question & answer→MCQ 271 Mark
$\frac{9\left(4^x\right)^2}{16^{x+1}-2^{x+1} \cdot 8^x}=$
- A
$0$
- B
- C
$\frac{14}{9}$
- ✓
$\frac{9}{14}$
AnswerCorrect option: D. $\frac{9}{14}$
View full question & answer→MCQ 281 Mark
If $l^x=m^y=n^z$ and $l m n=1$, then $y z+z x+x y=$
View full question & answer→MCQ 291 Mark
If $2^{x+1}+2^x=3$, then $3^x+3^{-x}=$
View full question & answer→MCQ 301 Mark
If $\left(2^5+0.125\right)^2-\left(2^5-0.125\right)^2=2^x$, then the value of $x$ is :
View full question & answer→MCQ 311 Mark
If $4^x=8^y$, then $x: y=$
View full question & answer→MCQ 321 Mark
If $2^{x+3}+2^{x+1}=320$, then $x=$
View full question & answer→MCQ 331 Mark
If $4 \times 2^{x+3}=8^{x+1}$, then $2^x=$
View full question & answer→MCQ 341 Mark
If $9 \times 81^x=\frac{1}{27^{x-3}}$, then $x=$
View full question & answer→MCQ 351 Mark
If $3^x=3^{-x}$, then $(1.2)^x=$
View full question & answer→MCQ 361 Mark
$(81)^{0.13} \times(81)^{0.12}=$
- A
- ✓
- C
$\sqrt{3}$
- D
$\frac{1}{\sqrt{3}}$
View full question & answer→MCQ 371 Mark
$\frac{\sqrt{5 \times 3^{-3}} \times \sqrt[6]{5 \times 3^6}}{\sqrt[6]{5} \sqrt{3}}=$
- A
$\sqrt{\frac{3}{5}}$
- B
$\sqrt{\frac{5}{3}}$
- C
$\frac{3}{5}$
- ✓
$\frac{\sqrt{5}}{3}$
AnswerCorrect option: D. $\frac{\sqrt{5}}{3}$
View full question & answer→MCQ 381 Mark
$\left\{\left(\sqrt[3]{a^4}\right)^{-\frac{3}{2}}\right\}^{-\frac{1}{2}}=$
- ✓
- B
$a^2$
- C
$\frac{1}{a}$
- D
$\frac{1}{a^2}$
View full question & answer→MCQ 391 Mark
$128 \times 32^{-\frac{4}{3}}=$
- A
$\sqrt[3]{4}$
- ✓
$\sqrt[3]{2}$
- C
- D
AnswerCorrect option: B. $\sqrt[3]{2}$
View full question & answer→MCQ 401 Mark
Assertion (A) : If we divide $3^{-2}$ by $3^4$, we get $9^3$.
Reason (R) : $\left(\frac{x}{y}\right)^{-m}=\frac{y^{-m}}{x^{-m}}$
View full question & answer→MCQ 411 Mark
Assertion (A) : $\left(x^{-1}-y^{-1}\right) \times(x-y)^{-1}=x^{-1} y^{-1}$
Reason (R) : For any non-zero number $x, x^{-1}=\frac{1}{x}$
View full question & answer→MCQ 421 Mark
Assertion (A) : Value of $\left(\frac{8}{162}\right)^{-1.5}$ is $\left(\frac{729}{8}\right)$.
Reason (R) : $x^m \times y^n=(x y)^{m+n}$
View full question & answer→