The product $(X)$ of the reaction is:

  • A
    Cyclohexyl-$N$,$N$-dimethylcarboxamide
  • B
    $1,1-$bis(dimethylamino)cyclohexan$-1-$ol
  • C
    $N$,$N$-dimethylcyclohexan$-1-$amine
  • D
    Cyclohexanecarbaldehyde

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Given below are two statements:
Statement $I:$ Ethyl pent$-4-$yn$-$oate on reaction with $CH_{3}MgBr$ gives a $3^{\circ}$ alcohol.
Statement $II:$ In this reaction,one mole of ethyl pent$-4-$yn$-$oate utilizes two moles of $CH_{3}MgBr$.
In the light of the above statements,choose the most appropriate answer from the options given below:

Find the missing information from the following reactions:
$(i)$ $CH_3COOH \rightarrow[\Delta]{H_2SO_4/P_2O_5} ?$
$(ii)$ $? + CH_3OH \rightleftharpoons[H^{+}]{} CH_3COOCH_3 + H_2O$
$(iii)$ $3 CH_3COOH + PCl_3 \rightarrow 3 CH_3COCl + ?$
$(iv)$ $CH_3COOH + PCl_5 \rightarrow CH_3COCl + ? + HCl$
$(v)$ $C_6H_5COONa \rightarrow{?} C_6H_6$
$(vi)$ $CH_3CH_2COOH \rightarrow{\text{excess } Br_2 + \text{Red } P} ? + ?$
$(vii)$ $CH_3CH_2COOH \rightarrow{?} CH_3CH_2CH_2OH$
$(viii)$ $C_6H_5COOH \rightarrow{\text{anhydrous } AlCl_3, CH_3Cl \text{ or } CH_3COCl} ?$

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The major product in the following reaction is

In the following reaction sequence,the compound $J$ is an intermediate.
$I$ $\xrightarrow{(CH_3CO)_2O / CH_3COONa} J$ $\xrightarrow[(ii) \text{ anhyd. } AlCl_3]{(i) H_2, Pd/C, (ii) SOCl_2} K$
$J \left( C_9H_8O_2 \right)$ gives effervescence on treatment with $NaHCO_3$ and positive Baeyer's test.
$1.$ The compound $K$ is
$2.$ The compound $I$ is
Give the answer for question $1$ and $2.$

Match Column-$I$ with Column-$II$ :
| Column-$I$ | Column-$II$ |
| :--- | :--- |
| $(A)$ Cyclopentanone + $2,4-$$DNP$ $\xrightarrow{\text{mild } H^+}$ Cyclopentanone$-2,4-$$DNP$ derivative | $(P)$ Electrophilic substitution |
| $(B)$ $4-$phenyl$-2-$methylbutan$-2-$ol $\xrightarrow{\text{Conc. } H_2SO_4}$ $1,1-$dimethyl$-1,2,3,4-$tetrahydronaphthalene | $(Q)$ Nucleophilic substitution |
| $(C)$ $4-$chlorocyclohexanethiol $\xrightarrow{\text{Base}}$ $7-$thiabicyclo[$2.2$.$1$]heptane | $(R)$ Nucleophilic addition |

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