Build a question paper in 60 seconds.

1. A
   $-7$
2. B
   6
3. C
   7
4. D
   5

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1. A
   $\frac{1}{16}$
2. B
   $\frac{1}{8}$
3. C
   $-\frac{1}{8}$
4. D
   $-\frac{1}{16}$

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1. A
   1684
2. B
   1648
3. C
   211
4. D
   1116

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1. A
   $\frac{3}{2}$
2. B
   $\frac{4}{3}$
3. C
   $\frac{5}{6}$
4. D
   $\frac{11}{2}$

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

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1. A
   $\frac{5}{4}$ ft/sec upwards
2. B
   $\frac{4}{5}$ ft/sec upwards
3. C
   $\frac{5}{4}$ ft/sec downwards
4. D
   $\frac{4}{5}$ ft/sec downwards

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1. A
   357
2. B
   387
3. C
   377
4. D
   397

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1. A
   F, T
2. B
   T, T
3. C
   T, F
4. D
   F, F

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1. A
   $\frac{x^3+1}{x^2+2}$
2. B
   $41x$
3. C
   $g(f(x))$
4. D
   $\frac{5x-7}{41}$

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1. A
   $x+y=0$
2. B
   $x=2y$
3. C
   $x=y$
4. D
   $2x=y$

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1. A
   $\frac{\log\frac{3}{4}}{1+(\log 3)(\log 4)}$
2. B
   $\frac{\log\frac{3}{4}}{1+\log 12}$
3. C
   $\frac{\log\frac{1}{2}}{1+\log 12}$
4. D
   $\frac{\log\frac{3}{4}}{1-\log 12}$

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1. A
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(-4\hat{i}-7\hat{j}-13\hat{k})$
2. B
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(-4\hat{i}+7\hat{j}-13\hat{k})$
3. C
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(-4\hat{i}-7\hat{j}-13\hat{k})$
4. D
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(4\hat{i}-7\hat{j}-13\hat{k})$

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1. A
   $(1,1)$
2. B
   $(-1,-1)$
3. C
   $(-1,1)$
4. D
   $(1,-1)$

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

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1. A
   $\frac{\pi}{2}$
2. B
   $\frac{5\pi}{4}$
3. C
   $\frac{3\pi}{2}$
4. D
   $\frac{7\pi}{4}$

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

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1. A
   $\frac{1}{2}R_1$
2. B
   $2R_1$
3. C
   $3R_1$
4. D
   $\frac{1}{3}R_1$

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1. A
   $-\frac{x}{2}(\sin(\log x)-\cos(\log x))+c$
2. B
   $\frac{x}{2}(\sin(\log x)-\cos(\log x))+c$
3. C
   $\frac{x}{2}(\sin(\log x)+\cos(\log x))+c$
4. D
   $-\frac{x}{2}(\sin(\log x)+\cos(\log x))+c$

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1. A
   24
2. B
   12
3. C
   8
4. D
   16

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

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1. A
   $\sim p\vee r$
2. B
   $(p\wedge\sim q)\vee r$
3. C
   $(p\wedge r)\wedge\sim q$
4. D
   $(\sim p\wedge\sim q)\wedge r$

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1. A
   $\log\left|\sec\frac{x^2+1}{2}\right|+c$
2. B
   $\log\left|\frac{x^2+1}{2}\right|+c$
3. C
   $\log\left|\sin\frac{x^2+1}{2}\right|+c$
4. D
   $2\log|x^2+1|+c$

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1. A
   $\frac{1}{13}$
2. B
   $\frac{1}{169}$
3. C
   $\frac{2}{13}$
4. D
   $\frac{4}{169}$

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

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1. A
   $-A$
2. B
   $\text{adj}A$
3. C
   $-I$
4. D
   $-\text{adj}A$

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