1. A
   4
2. B
   6
3. C
   7
4. D
   8

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1. A
   11!
2. B
   10!
3. C
   $10+10!$
4. D
   $11+10!$

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

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

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1. A
   $a, b, c$ are in AP
2. B
   $a, b, c$ are in GP
3. C
   $a+b, b+c, c+a$ are in GP
4. D
   $a+b, b+c, c+a$ are in AP

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1. A
   12
2. B
   14
3. C
   $8\sqrt{3}$
4. D
   4

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

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

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

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1. A
   $\sqrt3$
2. B
   2
3. C
   $\sqrt5$
4. D
   3

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1. A
   $\frac{5}{13}$ but cannot be $-\frac{5}{13}$
2. B
   $-\frac{5}{13}$ but cannot be $\frac{5}{13}$
3. C
   $\frac{5}{13}$ or $-\frac{5}{13}$
4. D
   None of the above

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1. A
   $\frac{3}{2}$
2. B
   $\frac{3}{4}$
3. C
   $\frac{3}{8}$
4. D
   $\frac{3}{16}$

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1. A
   $\sin2\theta$
2. B
   $\cos2\theta$
3. C
   $2\sin\theta$
4. D
   $2\cos\theta$

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1. A
   $h\cos\theta$
2. B
   $h\sin\theta$
3. C
   $h\cos2\theta$
4. D
   $h\sin2\theta$

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1. A
   $0<\theta<30°$
2. B
   $30°<\theta<45°$
3. C
   $45°<\theta<60°$
4. D
   $60°<\theta<90°$

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

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1. A
   0
2. B
   $\frac{1}{2}$
3. C
   $\frac{1}{\sqrt{2}}$
4. D
   $\frac{1}{\sqrt{3}}$

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

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

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

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1. A
   6
2. B
   7
3. C
   8
4. D
   9

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

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

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

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

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