Predict the product when the given compound reacts with $LiAlH_4$.

For the conversion of cyclohexanone to $1-$hydroxy$-1-$methylcyclohexan$-2-$one,the correct order of reagents used is:
$(1)$ $CH_3MgBr / H^+$
$(2)$ $H^+ / \Delta$
$(3)$ $KMnO_4$ (cold dil.)
$(4)$ $CrO_3$

Which among the following has the highest boiling point?

$A$ compound having molecular formula $C_3H_6O$,on reaction with $NH_2NHCONH_2$ produces mainly $P$ (which shows stereoisomerism). $P$ on reaction with $KOH$ / ethylene glycol,$\Delta$ produces propane. Identify $(P)$.

Which of the following compounds gives the Iodoform reaction?

An organic compound $(A)$ with molecular formula $C_8H_8O$ forms an orange-red precipitate with $2,4-DNP$ reagent and gives a yellow precipitate on heating with iodine in the presence of sodium hydroxide. It neither reduces Tollens' or Fehlings' reagent,nor does it decolourise bromine water or Baeyer's reagent. On drastic oxidation with chromic acid,it gives a carboxylic acid $(B)$ having molecular formula $C_7H_6O_2$. Identify the compounds $(A)$ and $(B)$ and explain the reactions involved.