Build a question paper in 60 seconds.

1. A
   $\frac{2a^2x}{x^4+a^4}$
2. B
   $\frac{2a^2x^2}{x^4+a^4}$
3. C
   $\frac{a^2x^2}{x^4+a^4}$
4. D
   $\frac{a^2x^2}{2(x^4+a^4)}$

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1. A
   is an empty set
2. B
   is a singleton set
3. C
   contains more than two elements.
4. D
   contains two elements.

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1. A
   6
2. B
   4
3. C
   3
4. D
   2

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1. A
   $\frac{\pi}{12}$
2. B
   $\frac{\pi}{6}$
3. C
   $\frac{\pi}{4}$
4. D
   $\frac{\pi}{10}$

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1. A
   127
2. B
   43
3. C
   109
4. D
   61

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1. A
   27
2. B
   28
3. C
   15
4. D
   20

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1. A
   $\frac{1}{49}(3\hat{i}-6\hat{j}+3\hat{k})$
2. B
   $\frac{1}{6}(-\hat{i}-\hat{j}-2\hat{k})$
3. C
   $-\frac{1}{49}(3\hat{i}-6\hat{j}+2\hat{k})$
4. D
   $-\frac{1}{6}(-\hat{i}-\hat{j}-2\hat{k})$

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1. A
   $\frac{8}{9}$
2. B
   $\frac{1}{4}$
3. C
   4
4. D
   $\frac{9}{8}$

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1. A
   $p \Rightarrow q$
2. B
   $q \Rightarrow p$
3. C
   p
4. D
   q

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1. A
   $\frac{1}{4}\log\left|\frac{7+x}{1-x}\right|+c$
2. B
   $\frac{1}{8}\log\left|\frac{7+x}{1-x}\right|+c$
3. C
   $\frac{1}{16}\log\left|\frac{7+x}{1-x}\right|+c$
4. D
   $\frac{1}{32}\log\left|\frac{7+x}{1-x}\right|+c$

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1. A
   $\frac{27}{64}$
2. B
   $\frac{125}{27}$
3. C
   $\frac{27}{125}$
4. D
   $\frac{64}{27}$

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

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

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1. A
   $\frac{23}{7}$
2. B
   1
3. C
   7
4. D
   $\frac{1}{7}$

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

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1. A
   $4\pi$
2. B
   $8\pi$
3. C
   $10\pi$
4. D
   $16\pi$

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1. A
   $\alpha$
2. B
   $\beta\alpha$
3. C
   $\beta\alpha$
4. D
   $\beta$

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

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

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1. A
   only solid and gaseous media
2. B
   only liquid and gaseous media
3. C
   only solid and liquid media
4. D
   solid, liquid and gaseous media

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1. A
   $\frac{2d\rho v}{\eta}$
2. B
   $\frac{d\rho v}{\eta}$
3. C
   $\frac{d\rho v}{2\eta}$
4. D
   $\frac{2\eta}{dv\rho}$

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1. A
   $\frac{v}{6}$
2. B
   $\frac{v}{3}$
3. C
   $\frac{2v}{3}$
4. D
   $\frac{4v}{3}$

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1. A
   3500 Hz
2. B
   3000 Hz
3. C
   2500 Hz
4. D
   2000 Hz

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

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1. A
   exactly double
2. B
   slightly more than 4 times
3. C
   slightly less than 4 times
4. D
   slightly less than double

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