1. A
   $10 + 6\sqrt{2}$
2. B
   $8 + 2\sqrt{2}$
3. C
   $6 + 8\sqrt{3}$
4. D
   $4 + 2\sqrt{3}$

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

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1. A
   $\frac{1}{8}(\pi - 1)$
2. B
   $\frac{1}{12}(\pi - 3)$
3. C
   $\frac{1}{1}(\pi - 2)$
4. D
   $\frac{1}{6}(\pi - 1)$

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1. A
   $\ ^{100}C_{16}$
2. B
   $\ ^{100}C_{15}$
3. C
   $- \ ^{100}C_{16}$
4. D
   $- \ ^{100}C_{15}$

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

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

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1. A
   $1 - 4e^{3}$
2. B
   $1 - 4e^{6}$
3. C
   $1 + 4e^{3}$
4. D
   $1 + 4e^{6}$

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1. A
   local maximum at $x = - \frac{3}{4}$
2. B
   local minimum at $x = - \frac{3}{4}$
3. C
   local maximum at $x = \frac{3}{4}$
4. D
   local minimum at $x = \frac{3}{4}$

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

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1. A
   $\frac{1}{66}$
2. B
   $\frac{1}{11}$
3. C
   $\frac{1}{9}$
4. D
   $\frac{2}{11}$

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1. A
   $\frac{7}{36}$
2. B
   $\frac{2}{9}$
3. C
   $\frac{1}{6}$
4. D
   $\frac{1}{4}$

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1. A
   $\frac{25}{2}$
2. B
   $\frac{35}{2}$
3. C
   $\frac{15}{2}$
4. D
   25

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1. A
   $\frac{3}{2}\frac{a^{2}}{r^{2}}$
2. B
   $\frac{2}{3}\frac{a^{2}}{r^{2}}$
3. C
   $\frac{2}{3}\frac{r^{2}}{a^{2}}$
4. D
   $\frac{3}{2}\frac{r^{2}}{a^{2}}$

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1. A
   $\tan^{- 1}\frac{(1 - \sqrt{3} - \sqrt{2})}{(1 + \sqrt{3} + \sqrt{2})}$
2. B
   $\tan^{- 1}\frac{(\sqrt{3} - 1 + \sqrt{2})}{(1 + \sqrt{3} - \sqrt{2})}$
3. C
   $\tan^{- 1}\frac{(\sqrt{3} - 1 + \sqrt{2})}{(1 - \sqrt{3} + \sqrt{2})}$
4. D
   $\tan^{- 1}\frac{(1 + \sqrt{3} - \sqrt{2})}{(1 - \sqrt{3} - \sqrt{2})}$

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1. A
   $4{\text{ }ms}^{- 1}$
2. B
   $0.2{\text{ }ms}^{- 1}$
3. C
   $40{\text{ }ms}^{- 1}$
4. D
   $0.1{\text{ }ms}^{- 1}$

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1. A
   (A), (C) and (D) only
2. B
   (E) only
3. C
   (A), (B) and (C) only
4. D
   (B), (C) and (D) only

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1. A
   $3.62\text{ }mm$
2. B
   $2.19\text{ }mm$
3. C
   $5.34\text{ }mm$
4. D
   $4.97\text{ }mm$

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1. A
   $2.5 \times 10^{2}\text{ }s$
2. B
   $4.1 \times 10^{1}\text{ }s$
3. C
   $2.4 \times 10^{3}\text{ }s$
4. D
   $2.5 \times 10^{1}\text{ }s$

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1. A
   0.4
2. B
   0.8
3. C
   0.125
4. D
   0.2

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1. A
   $4\mu F$
2. B
   $25\mu F$
3. C
   $400\mu F$
4. D
   $40\mu F$

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1. A
   OR
2. B
   AND
3. C
   NOR
4. D
   NAND

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1. A
   $0.44 \times 10^{15}$
2. B
   $6.57 \times 10^{15}$
3. C
   $4.38 \times 10^{15}$
4. D
   $2.46 \times 10^{15}$

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1. A
   $1.3\text{ }V$
2. B
   $1.1\text{ }V$
3. C
   $1.9\text{ }V$
4. D
   $0.6\text{ }V$

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1. A
   $1.32\text{ }W$
2. B
   $0.65\text{ }W$
3. C
   $2.2\text{ }W$
4. D
   $4.4\text{ }W$

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

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