Build a question paper in 60 seconds.

1. A
   $14x+2y-15z=1$
2. B
   $14x-2y+15z=27$
3. C
   $14x+2y+15z=31$
4. D
   $-14x+2y+15z=3$

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1. A
   $\frac{3\sqrt{x}}{1-9x^3}$
2. B
   $\frac{3}{x\sqrt{1-9x^3}}$
3. C
   $\frac{3}{1+9x^3}$
4. D
   $\frac{9}{1+9x^3}$

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

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

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

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1. A
   $\frac{7}{64}$
2. B
   $\frac{1}{4}$
3. C
   $\frac{1}{36}$
4. D
   $\frac{49}{16}$

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1. A
   $\frac{7\pi}{20}$
2. B
   $\frac{13\pi}{20}$
3. C
   $\frac{17\pi}{20}$
4. D
   $\frac{21\pi}{20}$

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1. A
   (A) is true while (B) and (C) are false.
2. B
   (A) and (C) are true while (B) is false.
3. C
   (A) and (B) are false, while (C) is true.
4. D
   (A) is false but (B) and (C) are true.

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1. A
   $2(\tan\beta+\tan\gamma)$
2. B
   $\tan\beta+\tan\gamma$
3. C
   $\tan\beta+2\tan\gamma$
4. D
   $2\tan\beta+\tan\gamma$

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1. A
   $(0,e)$
2. B
   $(e,\infty)$
3. C
   $(0,\infty)$
4. D
   $(-\infty,\infty)$

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1. A
   0
2. B
   $[\vec{a}\,\vec{b}\,\vec{c}]$
3. C
   $2[\vec{a}\,\vec{b}\,\vec{c}]$
4. D
   $-[\vec{a}\,\vec{b}\,\vec{c}]$

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1. A
   at least 30
2. B
   at most 20
3. C
   exactly 25
4. D
   exactly 10

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

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

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

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1. A
   occurs only at unique point.
2. B
   occurs only at two distinct points.
3. C
   occurs at infinitely many points.
4. D
   does not exist.

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1. A
   $\frac{10}{\sqrt{83}}$ units
2. B
   $\frac{5}{\sqrt{83}}$ units
3. C
   $\frac{10}{\sqrt{74}}$ units
4. D
   $\frac{20}{\sqrt{74}}$ units

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1. A
   $\left[-\frac{1}{4},\frac{1}{2}\right]$
2. B
   $\left[-\frac{3}{2},\frac{1}{2}\right]$
3. C
   $\left[-\frac{3}{2},\frac{1}{9}\right]$
4. D
   $\left[-\frac{1}{4},\frac{3}{4}\right]$

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1. A
   7
2. B
   $-7$
3. C
   no real value
4. D
   4

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1. A
   10
2. B
   6
3. C
   9
4. D
   8

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

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1. A
   $\frac{9}{2}$
2. B
   6
3. C
   7
4. D
   $\frac{7}{2}$

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

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

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

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