Build a question paper in 60 seconds.

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

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1. A
   40
2. B
   17.6
3. C
   28
4. D
   25.6

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1. A
   0.96
2. B
   0.16
3. C
   0.12
4. D
   0.48

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

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1. A
   $\sim p \wedge (q \wedge \sim r)$
2. B
   $\sim p \wedge (q \wedge r)$
3. C
   $\sim p \wedge (\sim q \wedge r)$
4. D
   $\sim p \wedge (\sim q \wedge \sim r)$

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

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1. A
   0.000856
2. B
   0.856
3. C
   0.0000856
4. D
   0.00856

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

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1. A
   6, 18
2. B
   6, 10
3. C
   14, 10
4. D
   14, 18

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1. A
   $\frac{-x}{\sqrt{1-x^2}}$
2. B
   $\frac{-2x}{\sqrt{1-x^2}}$
3. C
   $\frac{-1}{\sqrt{1-x^2}}$
4. D
   $\frac{1}{\sqrt{1-x^2}}$

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

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1. A
   $\frac{13}{5}$
2. B
   $\frac{31}{5}$
3. C
   $\frac{23}{5}$
4. D
   $\frac{1}{5}$

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1. A
   $(2t+1)\hat{i}-\hat{j}+(2t+1)\hat{k},\ \forall t \in \mathbb{R}$
2. B
   $(2t+1)\hat{i}-\hat{j}+(2t-1)\hat{k},\ \forall t \in \mathbb{R}$
3. C
   $(2t-1)\hat{i}-\hat{j}+(2t-1)\hat{k},\ \forall t \in \mathbb{R}$
4. D
   $(2t-1)\hat{i}-\hat{j}+(2t+1)\hat{k},\ \forall t \in \mathbb{R}$

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1. A
   $\cos^{-1}\!\left(\frac{17}{35}\right)$
2. B
   $\cos^{-1}\!\left(\frac{17}{31}\right)$
3. C
   $\cos^{-1}\!\left(\frac{19}{35}\right)$
4. D
   $\cos^{-1}\!\left(\frac{19}{31}\right)$

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

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1. A
   fixed radius of 1 unit and variable centres along the X-axis
2. B
   fixed radius of 1 unit and variable centres along the Y-axis
3. C
   variable radii and a fixed centre at (0, 1)
4. D
   variable radii and a fixed centre at (0, −1)

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

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1. A
   425
2. B
   275
3. C
   350
4. D
   225

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

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1. A
   4500
2. B
   3000
3. C
   2500
4. D
   3500

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1. A
   $-\dfrac{5}{9}\log(x+1)+\dfrac{5}{9}\log(x-2)-\dfrac{4}{3}\cdot\dfrac{1}{x-2}+C$
2. B
   $-\dfrac{5}{9}\log(x+1)+\dfrac{5}{9}\log(x-2)-\dfrac{1}{x-2}+C$
3. C
   $\dfrac{1}{9}\log(x+1)+\dfrac{5}{9}\log(x-2)-\dfrac{4}{3}\cdot\dfrac{1}{x-2}+C$
4. D
   $-\dfrac{5}{9}\log(x+1)+\dfrac{1}{9}\log(x-2)-\dfrac{1}{x-2}+C$

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

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1. A
   1.1
2. B
   1.6
3. C
   1.8
4. D
   0.6

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1. A
   −4
2. B
   −7
3. C
   7
4. D
   −3

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

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