Build a question paper in 60 seconds.

1. A
   0
2. B
   5
3. C
   6
4. D
   10

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1. A
   $\sqrt{45}$ units
2. B
   $\sqrt{18}$ units
3. C
   $\sqrt{72}$ units
4. D
   $\sqrt{33}$ units

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1. A
   $2x^2+2y^2-6x+8y+11=0$
2. B
   $2x^2+2y^2-6x+8y-11=0$
3. C
   $4x^2+4y^2-12x+16y-21=0$
4. D
   $4x^2+4y^2-12x+16y+21=0$

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

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1. A
   ${}^6C_3 \times {}^4C_2$
2. B
   ${}^4P_2 \times {}^6P_3$
3. C
   ${}^4C_2 + {}^4P_3$
4. D
   ${}^4P_2 + {}^6P_3$

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

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1. A
   800
2. B
   940
3. C
   400
4. D
   710

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1. A
   $\frac{15}{64}$
2. B
   $\frac{21}{64}$
3. C
   $\frac{39}{64}$
4. D
   $\frac{9}{64}$

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1. A
   $\frac{\pi}{4}$
2. B
   $\frac{\pi}{3}$
3. C
   $\cos^{-1}\!\left(\frac{1}{3}\right)$
4. D
   $\cos^{-1}\!\left(\frac{3}{7}\right)$

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1. A
   even and is strictly increasing in $(0,\infty)$
2. B
   odd and is strictly decreasing in $(-\infty,\infty)$
3. C
   odd and is strictly increasing in $(-\infty,\infty)$
4. D
   neither even nor odd, but is strictly increasing in $(-\infty,\infty)$

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

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

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1. A
   $\frac{1}{3}$
2. B
   0
3. C
   3
4. D
   $-\frac{1}{7}$

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1. A
   $\frac{27}{10}$
2. B
   $\frac{16}{5}$
3. C
   $\frac{27}{5}$
4. D
   $\frac{21}{5}$

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1. A
   $\frac{1}{2^{n/2}}$
2. B
   $\frac{1}{2^n}$
3. C
   $\frac{2^n}{\cdot}$
4. D
   $2^{n/2}$

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1. A
   13
2. B
   $-2$
3. C
   7
4. D
   5

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1. A
   $\frac{10}{3}$
2. B
   $\frac{10}{9}$
3. C
   $\frac{20}{9}$
4. D
   $\frac{20}{3}$

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1. A
   125
2. B
   1250
3. C
   135
4. D
   35

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

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

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1. A
   48
2. B
   32
3. C
   40
4. D
   80

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

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1. A
   6
2. B
   4
3. C
   $\frac{6}{25}$
4. D
   $\frac{12}{5}$

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1. A
   3.5 A
2. B
   1.5 A
3. C
   4 A
4. D
   2.5 A

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

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