Build a question paper in 60 seconds.

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

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1. A
   $\frac{1}{6}$
2. B
   $\frac{1}{7}$
3. C
   $\frac{4}{6}$
4. D
   $\frac{4}{7}$

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1. A
   $8x+y-13z+27=0$
2. B
   $2x+y+z=0$
3. C
   $3x-y-z-10=0$
4. D
   $8x+14y+13z+37=0$

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

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1. A
   $x^4 + \frac{1}{x^3} + \frac{129}{8}$
2. B
   $x^4 + \frac{1}{x^3} - \frac{129}{8}$
3. C
   $x^3 + \frac{1}{x^4} + \frac{129}{8}$
4. D
   $x^3 + \frac{1}{x^4} - \frac{129}{8}$

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

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

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

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1. A
   $\frac{1}{2}$
2. B
   $\frac{1}{4}$
3. C
   $\frac{1}{6}$
4. D
   $\frac{1}{8}$

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

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

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

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1. A
   If 3 is odd then it is a prime number.
2. B
   If 3 is not a prime number then 3 is even.
3. C
   If 3 is a prime number then 3 is even.
4. D
   If 3 is not a prime number then 3 is not odd.

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1. A
   $2x\tan^{-1}x - \log(1+x^2) + c$
2. B
   $2x\tan^{-1}x + \log(1+x^2) + c$
3. C
   $x\tan^{-1}x + \log(1+x^2) + c$
4. D
   $2x\tan^{-1}x - \log(1+x^2) + c$ [same as A]

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

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1. A
   $\frac{9}{2}$
2. B
   $\frac{3}{2}$
3. C
   $\frac{7}{2}$
4. D
   $\frac{5}{2}$

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

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

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

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1. A
   $\frac{\mu_0 I}{8r}$
2. B
   $\frac{\mu_0 I}{32r}$
3. C
   $\frac{\mu_0 I}{64r}$
4. D
   $\frac{\mu_0 I}{16r}$

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

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

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1. A
   44%
2. B
   55%
3. C
   66%
4. D
   77%

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1. A
   5 capacitors in parallel and then 2 capacitors series.
2. B
   4 capacitors in parallel and then 3 capacitors series.
3. C
   3 capacitors in parallel and then 4 capacitors in series.
4. D
   2 capacitors in parallel and then 5 capacitors in series.

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1. A
   $\frac{E_0^2}{2R}$
2. B
   $\frac{E_0^2}{2R}$
3. C
   $\frac{E_0^2}{4R}$
4. D
   $\frac{E_0^2}{R}$

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