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

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

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1. A
   0
2. B
   $\frac{9}{4}$
3. C
   $\frac{1}{2}$
4. D
   $-\frac{1}{2}$

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1. A
   $\frac{1}{10}$
2. B
   $\frac{1}{30}$
3. C
   $\frac{1}{100}$
4. D
   $\frac{3}{20}$

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1. A
   0.1
2. B
   0.2
3. C
   0.01
4. D
   0.02

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1. A
   $-91$
2. B
   $-85$
3. C
   85
4. D
   91

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1. A
   $x+2y\leq6,\;5x+3y\geq15,\;x\leq7,\;y\leq6,\;x,y\geq0$
2. B
   $x+2y\geq6,\;5x+3y\geq15,\;x\leq7,\;y\leq6,\;xy\geq0$
3. C
   $x+2y\geq6,\;5x+3y\leq15,\;x\geq7,\;y\leq6,\;x,y\geq0$
4. D
   $x+2y\leq6,\;5x+3y\leq15,\;x\leq7,\;y\geq6,\;x,y\geq0$

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1. A
   $9p^2 = 4q^2$
2. B
   $4p^2 = 9q^2$
3. C
   $9p = 4q$
4. D
   $4p = 9q$

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

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1. A
   3.0117
2. B
   3.0009
3. C
   2.9999
4. D
   3.1119

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

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1. A
   $1:6$
2. B
   $\sqrt{3}:(2+\sqrt{3})$
3. C
   $1:(2+\sqrt{3})$
4. D
   $2:3$

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1. A
   contains two elements.
2. B
   contains more than two elements.
3. C
   is an empty set.
4. D
   is a singleton set.

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1. A
   $\frac{23}{\sqrt{15}}$
2. B
   $\sqrt{17}$
3. C
   $\frac{17}{\sqrt{15}}$
4. D
   $\frac{23}{\sqrt{17}}$

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

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

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1. A
   $2x=(\pi+4)r$
2. B
   $(4-\pi)x=\pi r$
3. C
   $x=2r$
4. D
   $2x=r$

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1. A
   $\frac{-\hat{i}+7\hat{j}+7\hat{k}}{\sqrt{99}}$
2. B
   $\frac{-\hat{i}-7\hat{j}+5\hat{k}}{\sqrt{75}}$
3. C
   $\frac{-\hat{i}+7\hat{j}+5\hat{k}}{\sqrt{75}}$
4. D
   $\frac{7\hat{i}-7\hat{j}-7\hat{k}}{\sqrt{99}}$

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1. A
   88
2. B
   86
3. C
   90
4. D
   84

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1. A
   $\frac{7}{12}$
2. B
   $\frac{23}{36}$
3. C
   $\frac{1}{36}$
4. D
   $\frac{1}{6}$

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1. A
   zero.
2. B
   one.
3. C
   two.
4. D
   three.

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1. A
   $2f(x^2)$
2. B
   $-2f(x)$
3. C
   $(f(x))^2$
4. D
   $2f(x)$

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

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1. A
   $e^{\sin\theta}(\log\sin\theta+\csc^2\theta)+c$
2. B
   $e^{\sin\theta}(\log\sin\theta+\csc\theta)+c$
3. C
   $e^{\sin\theta}(\log\sin\theta-\csc\theta)+c$
4. D
   $e^{\sin\theta}(\log\sin\theta-\csc^2\theta)+c$

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1. A
   $x^2+y^2-6x-8y+9=0$
2. B
   $x^2+y^2-6x-8y+25=0$
3. C
   $x^2+y^2-6x-8y-9=0$
4. D
   $x^2+y^2-6x-8y-25=0$

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