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

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1. A
   24168
2. B
   20828
3. C
   15248
4. D
   13656

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

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1. A
   I only
2. B
   II only
3. C
   Both I and II
4. D
   Neither I nor II

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1. A
   20
2. B
   25
3. C
   40
4. D
   50

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1. A
   $\left(\dfrac{1}{3}\right)^9$
2. B
   $\left(\dfrac{2}{3}\right)^9$
3. C
   $\dfrac{1}{3}\left(\dfrac{2}{3}\right)^8$
4. D
   $\dfrac{2}{3}\left(\dfrac{1}{3}\right)^8$

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1. A
   15
2. B
   40
3. C
   45
4. D
   100

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

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1. A
   I only
2. B
   II only
3. C
   Both I and II
4. D
   Neither I nor II

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1. A
   I only
2. B
   II only
3. C
   Both I and II
4. D
   Neither I nor II

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1. A
   362880
2. B
   181440
3. C
   90720
4. D
   45360

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

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1. A
   11111111
2. B
   110000011
3. C
   111101111
4. D
   111111111

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1. A
   35
2. B
   36
3. C
   37
4. D
   38

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

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1. A
   10
2. B
   9
3. C
   8
4. D
   6

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

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1. A
   45
2. B
   30
3. C
   25
4. D
   15

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1. A
   has a unique solution
2. B
   has infinitely many solutions
3. C
   is inconsistent
4. D
   is consistent and has exactly two solutions

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

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1. A
   -13
2. B
   -3
3. C
   3
4. D
   13

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1. A
   None
2. B
   One
3. C
   Two
4. D
   All three

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