Build a question paper in 60 seconds.

1. A
   Nylon 2–Nylon 6
2. B
   Nylon 6,6
3. C
   Nylon 6
4. D
   Polyacrylamide

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1. A
   14
2. B
   6
3. C
   4
4. D
   2

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

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

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1. A
   F, T, F
2. B
   F, F, T
3. C
   T, T, F
4. D
   F, T, T

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1. A
   14
2. B
   7
3. C
   −14
4. D
   −7

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1. A
   only y
2. B
   neither x nor y
3. C
   both x and y
4. D
   only x

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

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1. A
   $x^2 - 3y^2 = 0$
2. B
   $3x^2 - y^2 = 0$
3. C
   $\sqrt{3}x^2 - y^2 = 0$
4. D
   $5x^2 - y^2 = 0$

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1. A
   $2\tan x + C$
2. B
   $\frac{1}{2}\tan x + C$
3. C
   $\tan x + C$
4. D
   $\frac{3}{2}\tan x + C$

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1. A
   $\tan^{-1}\!\left(\frac{y}{x}\right) + \log\sqrt{y^2+3x^2} \cdot x^{-2} = \log x + C$
2. B
   $\frac{1}{\sqrt{3}}\tan^{-1}\!\left(\frac{y}{\sqrt{3}x}\right) + \log\left(\frac{\sqrt{y^2+3x^2}}{x}\right)^{1/2} = \log x + C$
3. C
   $\frac{1}{\sqrt{3}}\tan^{-1}\!\left(\frac{y}{\sqrt{3}x}\right) - \log\left(\frac{\sqrt{y^2+3x^2}}{x}\right)^{1/2} = \log x + C$
4. D
   $\tan^{-1}\!\left(\frac{x}{y}\right) + \log\sqrt{y^2+3x^2} \cdot x^{-2} = \log x + C$

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1. A
   $\begin{bmatrix} \frac{17}{5} & \frac{9}{5} \\ 2 & 1 \end{bmatrix}$
2. B
   $\begin{bmatrix} \frac{-17}{5} & \frac{9}{5} \\ 2 & -1 \end{bmatrix}$
3. C
   $\begin{bmatrix} \frac{17}{5} & 2 \\ \frac{9}{5} & 1 \end{bmatrix}$
4. D
   $\begin{bmatrix} \frac{-17}{5} & 2 \\ \frac{-9}{5} & -1 \end{bmatrix}$

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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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