Build a question paper in 60 seconds.

1. A
   $1600\sqrt{2}$
2. B
   $3200\sqrt{2}$
3. C
   $12800\sqrt{2}$
4. D
   $6400\sqrt{2}$

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1. A
   $\dfrac{1}{3}\,\text{sq.units}$
2. B
   $\dfrac{2}{3}\,\text{sq.units}$
3. C
   $\dfrac{1}{4}\,\text{sq.units}$
4. D
   $\dfrac{1}{5}\,\text{sq.units}$

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

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1. A
   S2 region
2. B
   S1 region
3. C
   S3 region
4. D
   S4 region

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1. A
   8
2. B
   9
3. C
   10
4. D
   11

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1. A
   $\dfrac{75}{243}$
2. B
   $\dfrac{23}{96}$
3. C
   $\dfrac{179}{864}$
4. D
   $\dfrac{52}{243}$

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1. A
   $60^\circ$
2. B
   $180^\circ$
3. C
   $90^\circ$
4. D
   $30^\circ$

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1. A
   122
2. B
   -122
3. C
   -222
4. D
   222

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

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1. A
   The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd.
2. B
   The number is not an odd number if it is not divisible by 3.
3. C
   The number is not an odd number but it is divisible by 3.
4. D
   The number is not an odd number or is not divisible by 3 but the number is divisible by 3 or odd.

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1. A
   $3^{5/6}-3^{2/3}$
2. B
   $3^{7/6}-3^{5/6}$
3. C
   $3^{5/3}-3^{1/3}$
4. D
   $3^{4/3}-3^{1/3}$

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1. A
   $\dfrac{\sqrt{15}}{2}$
2. B
   $\dfrac{\sqrt{15}}{4}$
3. C
   $\sqrt{15}$
4. D
   $\dfrac{\sqrt{15}}{3}$

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1. A
   $\dfrac{-\hat{i}+7\hat{j}+5\hat{k}}{\sqrt{53}}$
2. B
   $\dfrac{-\hat{i}-7\hat{j}+5\hat{k}}{\sqrt{53}}$
3. C
   $\dfrac{+\hat{i}-7\hat{j}+5\hat{k}}{\sqrt{53}}$
4. D
   $\dfrac{\hat{i}+7\hat{j}+5\hat{k}}{\sqrt{53}}$

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

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1. A
   140
2. B
   320
3. C
   76
4. D
   380

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1. A
   All irrational numbers x.
2. B
   no x.
3. C
   all integer points
4. D
   every rational x which is not an integer.

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1. A
   $x^2-y^2+2\sqrt{2}y+2=0$
2. B
   $x^2-y^2-2\sqrt{2}y-2=0$
3. C
   $x^2-y^2+2\sqrt{2}y-2=0$
4. D
   $x^2-y^2-2\sqrt{2}y+2=0$

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1. A
   $6x-7y-4z-5=0$
2. B
   $6x+7y-4z+5=0$
3. C
   $6x-7y+4z+5=0$
4. D
   $6x+7y+4z-5=0$

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1. A
   $e^{\sin^2 x+\cos^3 x}+c$, where c is a constant of integration.
2. B
   $-e^{-\sin^2 x+\cos^3 x}+c$, where c is a constant of integration.
3. C
   $e^{-\sin^2 x+\cos^3 x+2}+c$, where c is a constant of integration.
4. D
   $e^{\sin^2 x+\cos x}+c$, where c is a constant of integration.

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

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1. A
   $(-\infty,-2)$
2. B
   $(-2,-1)$
3. C
   $(1,2)$
4. D
   $(2,\infty)$

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

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

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1. A
   $\dfrac{2\sin\theta+1}{\sin\theta+3}$
2. B
   $\dfrac{2\sin\theta+1}{5(\sin\theta+3)}$
3. C
   $\dfrac{5(\sin\theta+3)}{2\sin\theta+1}$
4. D
   $\dfrac{5(2\sin\theta+1)}{\sin\theta+3}$

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1. A
   16
2. B
   11
3. C
   12
4. D
   15

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