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1. A
   1 m
2. B
   1 M
3. C
   1 N
4. D
   N/10

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1. A
   Cumene hydroperoxide
2. B
   Phenol and $\text{CO}_2$
3. C
   Acetone and Benzoic acid
4. D
   Phenol + Acetone

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1. A
   To prepare shopping bags
2. B
   To prepare microwavable food trays
3. C
   To manufacture disposable cups and plates
4. D
   To prepare bottles for storage of mouth wash

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1. A
   conc. $\text{HNO}_3$
2. B
   Ni
3. C
   $\text{Zn} + \text{H}_2\text{O}$
4. D
   Zn

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1. A
   But-2-ene and But-1-ene
2. B
   n-Butane and 2-Methylpropane
3. C
   Ethoxyethane and methoxypropane
4. D
   Dimethyl ether and ethyl alcohol

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1. A
   $Q = W - \Delta U$
2. B
   $Q = \Delta U - W$
3. C
   $Q = \Delta U + W$
4. D
   $Q = -W$

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1. A
   $1.0 \times 10^{22}$
2. B
   $2.1 \times 10^{22}$
3. C
   $1.4 \times 10^{22}$
4. D
   $1.8 \times 10^{22}$

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1. A
   $\text{BF}_3$
2. B
   $\text{H}_2\text{O}$
3. C
   $\text{C}_2\text{H}_4$
4. D
   $\text{BeCl}_2$

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1. A
   $\text{Na} \rightarrow \text{Na}^+$
2. B
   $\text{VO}^{2+} \rightarrow \text{V}_2\text{O}_3$
3. C
   $\text{Zn}^{2+} \rightarrow \text{Zn}$
4. D
   $\text{CrO}_4^{2-} \rightarrow \text{Cr}_2\text{O}_7^{2-}$

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1. A
   $2.7\ \Omega^{-1}\text{ cm}^2\text{ mol}^{-1}$
2. B
   $3.8\ \Omega^{-1}\text{ cm}^2\text{ mol}^{-1}$
3. C
   $1.9\ \Omega^{-1}\text{ cm}^2\text{ mol}^{-1}$
4. D
   $4.2\ \Omega^{-1}\text{ cm}^2\text{ mol}^{-1}$

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1. A
   $\text{CH}_3\text{-CH=CH}_2$
2. B
   $\text{H}_2\text{C=CH}_2$
3. C
   $\text{CH}_3\text{-CH}_2\text{-CH}_3$
4. D
   $\text{CH}_3\text{-C≡CH}$

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1. A
   42 gram
2. B
   60 gram
3. C
   64 gram
4. D
   50 gram

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1. A
   Benzenol
2. B
   Benzene-1,2-diol
3. C
   Methoxymethane
4. D
   Propan-2-ol

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

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