Give the chemical reactions for the following conversions:
$(1)$ $m$-nitrobenzoic acid from toluene
$(2)$ $m$-chloronitrobenzene from benzene
$(3)$ $n$-propyl bromide from $1, 2$-dibromopropane

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(N/A) $(1)$ Toluene $\xrightarrow[\text{Alkali, } \Delta]{\text{KMnO}_4, [O]}$ Benzoic acid $\xrightarrow[\text{Conc. H}_2\text{SO}_4, \Delta]{\text{Conc. HNO}_3}$ $m$-Nitrobenzoic acid
$(2)$ Benzene $\xrightarrow[\text{FeCl}_3, \Delta]{\text{Cl}_2}$ Chlorobenzene $\xrightarrow[\text{H}_2\text{SO}_4, \Delta]{\text{HNO}_3}$ $m$-Chloronitrobenzene
$(3)$ $1, 2$-Dibromopropane $\xrightarrow[\Delta]{Zn, -ZnBr_2}$ Propene $\xrightarrow[\text{Peroxide}]{\text{HBr}}$ $1$-Bromopropane ($n$-Propyl bromide)

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$A$ (organic compound) $+ O_2 \to X + Y + Z$. Compound $(A)$ in pure form does not give a precipitate with $AgNO_3$ solution. $A$ mixture containing $70\%$ of $(A)$ and $30\%$ of ether is used as an anaesthetic. Compound $(X)$ and $(Y)$ are oxides while $(Z)$ is a pungent smelling gas. $(X)$ is a neutral oxide which turns cobalt chloride paper pink. Compound $(Y)$ turns lime water milky and produces an acidic solution with water. Compounds $(A), (X), (Y)$ and $(Z)$ respectively will be:

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Which of the following statements is wrong?

Alkyl halide $\xrightarrow[\text{Ether}]{Mg}$ Grignard Reagent $\xrightarrow{H_2O}$ Propane,then alkyl halide may be :-

Match the items of Column-$I$ and Column-$II$.
Column-$I$ Column-$II$
$A$. $S_N1$ reaction $1$. vic-dibromides
$B$. Chemicals in fire extinguisher $2$. gem-dihalides
$C$. Bromination of alkenes $3$. Racemisation
$D$. Alkylidene halides $4$. Saytzeff rule
$E$. Elimination of $HX$ from alkyl halide $5$. Chlorobromocarbons

The compound which is $NOT$ formed when a mixture of $n$-butyl bromide and ethyl bromide is treated with sodium metal in the presence of dry ether is:

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