Build a question paper in 60 seconds.

1. A
   $\frac{\pi}{2} + \tan^{- 1}\left( \frac{1}{4} \right)$
2. B
   $\frac{\pi}{2} - \tan^{- 1}\left( \frac{1}{4} \right)$
3. C
   $\frac{\pi}{2} + \tan^{- 1}\left( \frac{1}{3} \right)$
4. D
   $\frac{\pi}{2} - \tan^{- 1}\left( \frac{1}{3} \right)$

Tap an option to check your answer.

1. A
   $\log_{e}\left| x^{2} + 5x - 7 \right| + c$
2. B
   $\frac{1}{4}\log_{e}\left| x^{2} + 5x - 7 \right| + c$
3. C
   $4\log_{e}\left| x^{2} + 5x - 7 \right| + c$
4. D
   $\log_{e}\sqrt{x^{2} + 5x - 7} + c$

Tap an option to check your answer.

1. A
   $\frac{x^{2}}{9} - \frac{y^{2}}{4} = 1$
2. B
   $\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
3. C
   $x^{2} - y^{2} = 9$
4. D
   $\frac{x^{2}}{9} - \frac{y^{2}}{25} = 1$

Tap an option to check your answer.

1. A
   1
2. B
   $\frac{1}{3}$
3. C
   $\frac{1}{2}$
4. D
   $\frac{1}{4}$

Tap an option to check your answer.

1. A
   $\frac{7}{45}$
2. B
   $\frac{8}{45}$
3. C
   $\frac{14}{45}$
4. D
   $\frac{28}{45}$

Tap an option to check your answer.

1. A
   does not have any solution
2. B
   has a unique solution
3. C
   has a solution $(\alpha,\beta,\gamma)$ satisfying $\alpha + \beta^{2} + \gamma^{3} = 12$
4. D
   has infinitely many solutions

Tap an option to check your answer.

1. A
   $a + \frac{1}{a}$
2. B
   $a + 1$
3. C
   $2a$
4. D
   $2\sqrt{a}$

Tap an option to check your answer.

1. A
   $\frac{19}{2}$
2. B
   $\frac{49}{2}$
3. C
   $\frac{39}{2}$
4. D
   $\frac{29}{2}$

Tap an option to check your answer.

1. A
   4
2. B
   1
3. C
   2
4. D
   3

Tap an option to check your answer.

1. A
   64
2. B
   16
3. C
   80
4. D
   128

Tap an option to check your answer.

1. A
   $\frac{1}{2}$
2. B
   0
3. C
   $\frac{1}{2\sqrt{2}}$
4. D
   $\frac{1}{\sqrt{2}}$

Tap an option to check your answer.

1. A
   $\frac{1}{5}$
2. B
   $\frac{2}{9}$
3. C
   $\frac{97}{297}$
4. D
   $\frac{122}{297}$

Tap an option to check your answer.

1. A
   $\frac{75}{56}$
2. B
   $\frac{65}{56}$
3. C
   $\frac{56}{33}$
4. D
   $\frac{65}{33}$

Tap an option to check your answer.

1. A
   $\frac{1 + \sqrt{3}}{2}$
2. B
   $\frac{1 - \sqrt{3}}{2}$
3. C
   $\frac{\sqrt{3}}{2}$
4. D
   $\frac{1}{2}$

Tap an option to check your answer.

1. A
   $\sim 0.86\text{ }A$
2. B
   $\sim 0.5\text{ }A$
3. C
   $\text{ }0.43\text{ }A$
4. D
   $\sim 1.5\text{ }A$

Tap an option to check your answer.

1. A
   $41:50$
2. B
   $36:25$
3. C
   $50:41$
4. D
   $25:36$

Tap an option to check your answer.

1. A
   $13\text{ }cm$
2. B
   $14.8\text{ }cm$
3. C
   $16.6\text{ }cm$
4. D
   $18.4\text{ }cm$

Tap an option to check your answer.

1. A
   $3:7:2$
2. B
   $5:7:2$
3. C
   $5:7:3$
4. D
   $3:5:2$

Tap an option to check your answer.

1. A
   Both statement I and statement II are false
2. B
   Statement I is false but statement II is true
3. C
   Statement I is true but statement II is false
4. D
   Both statement I and statement II are true

Tap an option to check your answer.

1. A
   $\frac{18E}{55},\frac{5E}{18}$
2. B
   $\frac{5E}{18},\frac{18E}{55}$
3. C
   $\frac{5E}{18},\frac{10E}{33}$
4. D
   $\frac{10E}{33},\frac{5E}{18}$

Tap an option to check your answer.

1. A
   $4.24 \times 10^{2}\text{ }s$
2. B
   $3.33 \times 10^{2}\text{ }s$
3. C
   $1.33 \times 10^{3}\text{ }s$
4. D
   $4.24 \times 10^{3}\text{ }s$

Tap an option to check your answer.

1. A
   $\sqrt{\frac{v^{2} - u^{2}}{2}}$
2. B
   $\frac{v - u}{2}$
3. C
   $\sqrt{\frac{v^{2} + u^{2}}{2}}$
4. D
   $\frac{u + v}{2}$

Tap an option to check your answer.

1. A
   $2:1:1$ and $4:2:1$
2. B
   $1:2:4$ and $2:1:1$
3. C
   $1:2:4$ and $1:1:2$
4. D
   $4:2:1$ and $2:1:1$

Tap an option to check your answer.

1. A
   $A$ is true but $R$ is false
2. B
   Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
3. C
   Both $A$ and $R$ are true but $R$ is NOT the correct explanation of $A$
4. D
   $A$ is false but $R$ is true

Tap an option to check your answer.

1. A
   $16\widehat{i} + 24\widehat{j} - 32\widehat{k}$
2. B
   $- 16\widehat{i} - 24\widehat{j} - 32\widehat{k}$
3. C
   $- 16\widehat{i} - 24\widehat{j} + 32\widehat{k}$
4. D
   $- 16\widehat{i} + 24\widehat{j} + 32\widehat{k}$

Tap an option to check your answer.