Build a question paper in 60 seconds.

1. A
   -1
2. B
   -3
3. C
   -4
4. D
   -5

Tap an option to check your answer.

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

Tap an option to check your answer.

1. A
   $\dfrac{183}{343}$
2. B
   $\dfrac{160}{343}$
3. C
   $\dfrac{209}{343}$
4. D
   $\dfrac{134}{343}$

Tap an option to check your answer.

1. A
   no real root
2. B
   exactly two real roots
3. C
   exactly one real root.
4. D
   more than two real roots.

Tap an option to check your answer.

1. A
   $\dfrac{\pi+1}{4}$
2. B
   $\dfrac{\pi+2}{4}$
3. C
   $\dfrac{\pi+1}{4}$
4. D
   $\dfrac{\pi-1}{4}$

Tap an option to check your answer.

1. A
   $\dfrac{n(n+1)}{2}$
2. B
   $\dfrac{n^2(n+1)}{2}$
3. C
   $\dfrac{n(n+1)}{4}$
4. D
   $\dfrac{n^2(n-1)}{2}$

Tap an option to check your answer.

1. A
   $(1+\cos x)(1+\sin y)=c$, where $c$ is a constant of integration.
2. B
   $1+\sin x+\cos y=c$, where $c$ is a constant of integration.
3. C
   $(1+\sin x)(1+\cos y)=c$, where $c$ is a constant of integration.
4. D
   $1+\sin x\cos y=c$, where $c$ is a constant of integration.

Tap an option to check your answer.

1. A
   $-\dfrac{2}{5}-\dfrac{4}{5}i$
2. B
   $-\dfrac{2}{5}+\dfrac{4}{5}i$
3. C
   $\dfrac{2}{5}-\dfrac{4}{5}i$
4. D
   $\dfrac{2}{5}+\dfrac{4}{5}i$

Tap an option to check your answer.

1. A
   30
2. B
   -4
3. C
   -2
4. D
   8

Tap an option to check your answer.

1. A
   $\dfrac{201}{5}\cdot\left(\dfrac{1}{5}\right)^{49}$
2. B
   $\dfrac{316}{25}\cdot\left(\dfrac{4}{5}\right)^{48}$
3. C
   $\dfrac{54}{5}\cdot\left(\dfrac{4}{5}\right)^{49}$
4. D
   $\dfrac{164}{25}\cdot\left(\dfrac{1}{5}\right)^{48}$

Tap an option to check your answer.

1. A
   X=0: 144/169, X=1: 24/169, X=2: 1/169
2. B
   X=0: 1/169, X=1: 24/169, X=2: 144/169
3. C
   X=0: 24/169, X=1: 1/169, X=2: 144/169
4. D
   X=0: 1/169, X=1: 25/169, X=2: 143/169

Tap an option to check your answer.

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

Tap an option to check your answer.

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

Tap an option to check your answer.

1. A
   $\dfrac{d^2y}{dx^2}-2\dfrac{dy}{dx}-y=0$
2. B
   $\dfrac{d^2y}{dx^2}+2\dfrac{dy}{dx}+2y=0$
3. C
   $\dfrac{d^2y}{dx^2}-2\dfrac{dy}{dx}+y=0$
4. D
   $\dfrac{d^2y}{dx^2}-2\dfrac{dy}{dx}+2y=0$

Tap an option to check your answer.

1. A
   $A=\dfrac{1}{2},B=-\dfrac{3}{4\sqrt{2}},f(x)=\dfrac{\sqrt{2}\cos x-1}{\sqrt{2}\cos x+1}$
2. B
   $A=-\dfrac{1}{2},B=-\dfrac{3}{4\sqrt{2}},f(x)=\dfrac{\sqrt{2}\cos x+1}{\sqrt{2}\cos x-1}$
3. C
   $A=\dfrac{1}{2},B=-\dfrac{3}{4\sqrt{2}},f(x)=\dfrac{\sqrt{2}\cos x+1}{\sqrt{2}\cos x-1}$
4. D
   $A=\dfrac{3}{2},B=\dfrac{1}{2},f(x)=\dfrac{\sqrt{2}\cos x-1}{\sqrt{2}\cos x+1}$

Tap an option to check your answer.

1. A
   $\dfrac{1+4\cos^2\alpha}{2}$
2. B
   $\dfrac{1-4\cos^2\alpha}{2}$
3. C
   $\dfrac{-1-4\cos^2\alpha}{2}$
4. D
   $\dfrac{-1+4\cos^2\alpha}{2}$

Tap an option to check your answer.

1. A
   -1
2. B
   0
3. C
   1
4. D
   3

Tap an option to check your answer.

1. A
   $\dfrac{\pi}{6},\dfrac{5\pi}{6}$
2. B
   $\dfrac{\pi}{6},\dfrac{\pi}{20}$
3. C
   $\dfrac{\pi}{6},\dfrac{2\pi}{3}$
4. D
   $\dfrac{\pi}{6},\dfrac{\pi}{12}$

Tap an option to check your answer.

1. A
   $a^2+b^2-c^2$
2. B
   $c^2+a^2-b^2$
3. C
   $b^2-c^2-a^2$
4. D
   $c^2-a^2-b^2$

Tap an option to check your answer.

1. A
   $\dfrac{11}{5}\,(\text{units})^2/\text{sec}$
2. B
   $\dfrac{11}{\sqrt{5}}\,(\text{units})^2/\text{sec}$
3. C
   $\dfrac{13}{\sqrt{5}}\,(\text{units})^2/\text{sec}$
4. D
   $\dfrac{13}{5}\,(\text{units})^2/\text{sec}$

Tap an option to check your answer.

1. A
   $p\wedge\neg q$
2. B
   $q\vee p$
3. C
   $p\wedge q$
4. D
   $\neg q$

Tap an option to check your answer.

1. A
   5
2. B
   10
3. C
   4
4. D
   20

Tap an option to check your answer.

1. A
   1:4
2. B
   4:1
3. C
   1:16
4. D
   16:1

Tap an option to check your answer.

1. A
   Intensity of fringes remains unaltered
2. B
   Intensity of bright fringe decreases and that of dark fringe increases
3. C
   Intensity of bright fringe increases and that of dark fringe decreases
4. D
   Intensity of both bright and dark fringes decreases

Tap an option to check your answer.

1. A
   $20^\circ$
2. B
   $30^\circ$
3. C
   $39^\circ$
4. D
   $45^\circ$

Tap an option to check your answer.