1. A
   6
2. B
   4
3. C
   2
4. D
   None

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

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1. A
   10
2. B
   5
3. C
   1
4. D
   0

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

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

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

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

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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
   8
2. B
   64
3. C
   256
4. D
   512

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1. A
   50
2. B
   1250
3. C
   2500
4. D
   5000

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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
   One
2. B
   Two
3. C
   Three
4. D
   Four

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1. A
   $q>p$
2. B
   $q+1>p$
3. C
   $q+2>p$
4. D
   $q+2\geq p$

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1. A
   $\varphi$
2. B
   A
3. C
   B
4. D
   $A \cup B$

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1. A
   I only
2. B
   II only
3. C
   I and II only
4. D
   I, II and III

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1. A
   $\dfrac{\pi}{2}$
2. B
   $\dfrac{\pi}{4}$
3. C
   $\dfrac{\pi}{6}$
4. D
   $\dfrac{\pi}{8}$

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

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1. A
   $x+y-xy-1=0$
2. B
   $x-y+xy+1=0$
3. C
   $x+y+xy-1=0$
4. D
   $x-y+xy-1=0$

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1. A
   $\dfrac{5}{9}$
2. B
   $\dfrac{7}{9}$
3. C
   $\dfrac{10}{9}$
4. D
   $\dfrac{11}{9}$

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

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1. A
   $-\dfrac{31}{25}$
2. B
   $-\dfrac{17}{25}$
3. C
   0
4. D
   1

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

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

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1. A
   One
2. B
   Two
3. C
   Three
4. D
   All the four

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1. A
   -7
2. B
   0
3. C
   $\dfrac{1}{5}$
4. D
   $\dfrac{1}{7}$

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