1. A
   254
2. B
   255
3. C
   256
4. D
   257

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1. A
   $\dfrac{n-5}{6}$
2. B
   $\dfrac{n-4}{5}$
3. C
   $\dfrac{5}{n-4}$
4. D
   $\dfrac{6}{n-5}$

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1. A
   202
2. B
   101
3. C
   51
4. D
   50

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1. A
   $2^{26}$
2. B
   $2^{49}$
3. C
   $2^{50}$
4. D
   $2^{51}$

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1. A
   5
2. B
   14
3. C
   21
4. D
   22

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1. A
   $\alpha = 2\beta$
2. B
   $\alpha = \beta$
3. C
   $2\alpha = \beta$
4. D
   $\alpha = (m+n)\beta$

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1. A
   4
2. B
   5
3. C
   6
4. D
   11

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1. A
   C(n+1, r)
2. B
   C(n-1, r+1)
3. C
   C(n, r+1)
4. D
   C(n+2, r)

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1. A
   $\alpha > \beta + \gamma$
2. B
   $\alpha < \beta + \gamma$
3. C
   $\alpha = \beta + \gamma$
4. D
   $\alpha = \beta\gamma$

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1. A
   8
2. B
   10
3. C
   12
4. D
   16

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1. A
   6
2. B
   9
3. C
   10
4. D
   12

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1. A
   7
2. B
   14
3. C
   28
4. D
   56

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1. A
   12
2. B
   20
3. C
   21
4. D
   22

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1. A
   $C(47, 4)$
2. B
   $C(52, 5)$
3. C
   $C(52, 4)$
4. D
   $C(47, 5)$

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1. A
   32
2. B
   64
3. C
   2048
4. D
   4096

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1. A
   18
2. B
   25
3. C
   10
4. D
   12

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1. A
   256
2. B
   512
3. C
   1024
4. D
   2048

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1. A
   $2^n$
2. B
   $2^n - 1$
3. C
   $2^{n-1}$
4. D
   $2^n - 2$

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1. A
   8064
2. B
   4032
3. C
   2016
4. D
   1008

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1. A
   $2+2^2+2^3+\cdots+2^n$
2. B
   $1+2+2^2+2^3+\cdots+2^n$
3. C
   $1+2+2^2+2^3+\cdots+2^{n-1}$
4. D
   $2+2^2+2^3+\cdots+2^{n-1}$

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

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1. A
   7
2. B
   8
3. C
   9
4. D
   10

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1. A
   21
2. B
   22
3. C
   42
4. D
   43

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1. A
   $1+2n$
2. B
   $1+2n^{2}$
3. C
   $1+n^{2}$
4. D
   $1+4n$

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1. A
   9
2. B
   10
3. C
   19
4. D
   20

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