Practice every past-year question.

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1. A
   $3\sqrt{7}$
2. B
   $2\sqrt{14}$
3. C
   $5\sqrt{7}$
4. D
   $\sqrt{14}$

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1. A
   1280
2. B
   1295
3. C
   1040
4. D
   1215

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1. A
   192
2. B
   384
3. C
   96
4. D
   392

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1. A
   37
2. B
   47
3. C
   40
4. D
   36

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1. A
   77
2. B
   462
3. C
   308
4. D
   154

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1. A
   158
2. B
   173
3. C
   164
4. D
   161

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1. A
   16
2. B
   12
3. C
   18
4. D
   14

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1. A
   2184
2. B
   2148
3. C
   2172
4. D
   2196

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

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1. A
   $\frac{2}{\log_{e}(3) - \log_{e}(4)}$
2. B
   $\frac{1}{\log_{e}(4) - \log_{e}(3)}$
3. C
   $- \frac{1}{\log_{e}(4)}$
4. D
   $\frac{1}{\log_{e}(3) - \log_{e}(4)}$

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1. A
   an equivalence relation
2. B
   both reflexive and transitive but not symmetric
3. C
   both reflexive and symmetric but not transitive
4. D
   reflexive but neither symmetric not transitive

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1. A
   $6\sqrt{6}$
2. B
   $\frac{18\sqrt{6}}{5}$
3. C
   $\frac{12\sqrt{6}}{5}$
4. D
   $\frac{24\sqrt{6}}{5}$

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1. A
   84
2. B
   122
3. C
   90
4. D
   108

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1. A
   $(8,26,12)$
2. B
   $(2,8,5)$
3. C
   $( - 1, - 1,1)$
4. D
   $(5,17,4)$

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

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

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1. A
   18
2. B
   16
3. C
   25
4. D
   20

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1. A
   100
2. B
   110
3. C
   120
4. D
   90

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1. A
   3
2. B
   7
3. C
   13
4. D
   10

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1. A
   262
2. B
   288
3. C
   242
4. D
   222

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