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

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1. A
   Zero
2. B
   One
3. C
   Two
4. D
   Three

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

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

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1. A
   $-1$
2. B
   $1$
3. C
   $10$
4. D
   Coefficient of $x^{10}$ does not exist

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1. A
   $-3$
2. B
   $3$
3. C
   $6$
4. D
   $12$

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1. A
   (A) and (B) only
2. B
   (B) and (C) only
3. C
   (A) and (C) only
4. D
   (A), (B) and (C)

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1. A
   A only
2. B
   B only
3. C
   Both (A) and (B)
4. D
   Neither (A) nor (B)

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

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1. A
   $10$
2. B
   $20$
3. C
   $30$
4. D
   $32$

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

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

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1. A
   $a+b+c$
2. B
   $ab+bc+ca$
3. C
   $(a+b)(b+c)(c+a)$
4. D
   $0$

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

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1. A
   Only one
2. B
   Only two
3. C
   Four
4. D
   No solution

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

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1. A
   $1$
2. B
   $7$
3. C
   $8$
4. D
   $16$

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1. A
   $-\dfrac{1}{4}$
2. B
   $-\dfrac{3}{4}$
3. C
   $\dfrac{3\sin10°}{4}$
4. D
   $-\dfrac{3\cos10°}{4}$

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1. A
   $-\dfrac{\pi}{4}$
2. B
   $\dfrac{\pi}{4}$
3. C
   $\tan^{-1}\!\dfrac{a^2-b^2}{a^2+b^2}$
4. D
   $\tan^{-1}\!\dfrac{2ab}{a^2+b^2}$

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1. A
   $1-\cos\beta<0$
2. B
   $1-\cos\beta\leq0$
3. C
   $1-\cos\beta>0$
4. D
   $1-\cos\beta\geq0$

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1. A
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $\dfrac{76}{65}$

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

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1. A
   $\dfrac{13}{75}$
2. B
   $\dfrac{13}{85}$
3. C
   $\dfrac{17}{85}$
4. D
   $\dfrac{19}{85}$

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

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1. A
   A Only
2. B
   B Only
3. C
   Both A and B
4. D
   Neither A nor B

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