1. A
   $5$
2. B
   $6$
3. C
   $7$
4. D
   $8$

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1. A
   $0$
2. B
   $p+q$
3. C
   $pq$
4. D
   $pq(p+q)$

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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
   $\sqrt{2}$
3. C
   $2$
4. D
   $\sqrt{3}$

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

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1. A
   in AP
2. B
   in GP
3. C
   in HP
4. D
   neither in AP nor in GP nor in HP

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1. A
   $0$
2. B
   $\omega$
3. C
   $\omega^2$
4. D
   $1-\omega^2$

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

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

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1. A
   $240$
2. B
   $720$
3. C
   $1440$
4. D
   $1620$

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

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

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1. A
   $-10000$
2. B
   $-10$
3. C
   $10$
4. D
   $10000$

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

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

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

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1. A
   $\dfrac{11}{12}$
2. B
   $\dfrac{11}{24}$
3. C
   $\dfrac{7}{24}$
4. D
   $\dfrac{1}{24}$

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1. A
   $9\sqrt{3}$ sq cm
2. B
   $12$ sq cm
3. C
   $18\sqrt{3}$ sq cm
4. D
   $24$ sq cm

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1. A
   The triangle is equilateral
2. B
   The triangle is isosceles but not right-angled
3. C
   The triangle is right-angled
4. D
   The triangle is right-angled isosceles

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

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1. A
   Only one
2. B
   Only two
3. C
   Only five
4. D
   More than five

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1. A
   $n\pi$
2. B
   $(2n+1)\pi$
3. C
   $2n\pi$
4. D
   $(2n+1)\dfrac{\pi}{2}$

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1. A
   $0.5k$
2. B
   $\dfrac{1}{k}$
3. C
   $\dfrac{3}{k}$
4. D
   $\dfrac{1}{k^3}$

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1. A
   $\dfrac{\sqrt{5}-1}{4}$
2. B
   $\dfrac{\sqrt{5}+1}{4}$
3. C
   $\dfrac{\sqrt{5}-1}{8}$
4. D
   $\dfrac{\sqrt{5}+1}{8}$

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1. A
   $\tan34°$
2. B
   $\cot34°$
3. C
   $\tan62°$
4. D
   $\cot62°$

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