Build a question paper in 60 seconds.

1. A
   $\frac{1}{5}\log(2+\sqrt{5})$
2. B
   $\frac{1}{2}\log(2+\sqrt{5})$
3. C
   $2\log(2+\sqrt{5})$
4. D
   $\log(2+\sqrt{5})$

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1. A
   $(3,5,9)$
2. B
   $(5,-3,9)$
3. C
   $(3,-5,-9)$
4. D
   $(5,-9,3)$

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1. A
   $\cos^{-1}\!\frac{57}{59}$
2. B
   $\cos^{-1}\!\frac{25}{\sqrt{59}\cdot\sqrt{35}}$
3. C
   $\cos^{-1}\!\frac{54}{13}$
4. D
   $\cos^{-1}\!\frac{25}{\sqrt{59}\cdot\sqrt{35}}$

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

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1. A
   $\frac{1}{6\pi}\ \text{cm/sec}$
2. B
   $\frac{1}{6\pi}\ \text{cm/sec}$
3. C
   $\frac{1}{16\pi}\ \text{cm/sec}$
4. D
   $\frac{\pi}{16}\ \text{cm/sec}$

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1. A
   $e^x\frac{1}{(x-1)^2}+c$, where c is constant of integration
2. B
   $e^x\frac{1}{x-1}+c$, where c is constant of integration
3. C
   $e^x(x-1)^2+c$, where c is constant of integration
4. D
   $e^x(x-1)^3+c$, where c is constant of integration

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1. A
   $0<x\leq1$
2. B
   $0\leq x\leq1$
3. C
   $-\infty<x\leq0$
4. D
   $-\infty<x<1$

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1. A
   $\left(-\frac{3}{2},\frac{1}{2},1\right)$
2. B
   $\left(\frac{3}{2},\frac{1}{2},1\right)$
3. C
   $\left(-\frac{3}{2},-\frac{1}{2},-1\right)$
4. D
   $\left(\frac{3}{2},-\frac{1}{2},-1\right)$

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1. A
   $\frac{1}{4}$
2. B
   $\frac{3}{4}$
3. C
   $\frac{1}{9}$
4. D
   $\frac{2}{7}$

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1. A
   216
2. B
   6
3. C
   36
4. D
   9

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1. A
   $a=3, b=-1$
2. B
   $a=3, b=1$
3. C
   $a=-3, b=1$
4. D
   $a=-3, b=-1$

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1. A
   $\frac{m_0}{h}\log2$
2. B
   $\frac{m_0}{h}\log2$
3. C
   $-\frac{m_0}{h}\log2$
4. D
   $-\frac{m_0}{h}\log2$

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1. A
   $x$
2. B
   $-x$
3. C
   $4x$
4. D
   $-4x$

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

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

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

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

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1. A
   $\log(xy)+\frac{1}{xy}=k$, where $k$ is constant of integration.
2. B
   $\log(xy)=\frac{1}{xy}+k$, where $k$ is constant of integration.
3. C
   $\log(xy)+xy=k$, where $k$ is constant of integration.
4. D
   $\log(xy)=xy+k$, where $k$ is constant of integration.

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1. A
   $\sqrt{55}$
2. B
   $\frac{1}{\sqrt{55}}$
3. C
   $\sqrt{138}$
4. D
   $\sqrt{170}$

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1. A
   $x^2+y^2-2ax-2py+b^2+q^2=0$
2. B
   $x^2+y^2-2ax-2py-b^2+q^2=0$
3. C
   $x^2+y^2+2ax+2py+b^2+q^2=0$
4. D
   $x^2+y^2+2ax+2py-b^2+q^2=0$

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1. A
   $\frac{7}{2},-\frac{7}{9}$
2. B
   $\frac{2}{7},\frac{9}{7}$
3. C
   $-\frac{7}{2},-\frac{7}{9}$
4. D
   $-2,-9$

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

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1. A
   $L_1 < L_2$
2. B
   $L_2 < L_1$
3. C
   $L_1 L_2^{2/3} = \text{const}$
4. D
   $L_2 L_1^{2/3} = \text{const}$

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1. A
   0.1 s
2. B
   0.2 s
3. C
   0.4 s
4. D
   0.5 s

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1. A
   $\frac{V}{3}$
2. B
   $\frac{V}{4}$
3. C
   $\frac{V}{6}$
4. D
   $\frac{V}{9}$

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