When is methyl tert-butyl ether formed?

Dimethyl ether when heated with excess $HI$ gives

Give the major product formed by heating $CH_3-CH_2-CH_2-O-C(CH_3)_2-CH_2-CH_3$ with $HI$.

Match the reactants in Column-$I$ with the major products of their reaction in Column-$II$. Find the correct match for $(I)$ from $(II)$.

Column-$I$ (Reactants)	Column-$II$ (Products)
$(A) \ CH_3CH_2CH_2-O-CH_3 + HI \rightarrow$	$(i) \ (CH_3)_3C-I + CH_3CH_2OH$
$(B) \ C_6H_5OCH_2CH_3 + HBr \rightarrow$	$(ii) \ CH_3CH_2CH_2OH + CH_3I$
$(C) \ (CH_3)_3C-OCH_2CH_3 + HI \rightarrow$	$(iii) \ CH_3CH_2I + C_6H_5OH$
$(D) \ C_6H_5OCH_2CH_3 + \text{conc. } H_2SO_4 + \text{conc. } HNO_3 \rightarrow$	$(iv) \ p-NO_2-C_6H_4-OCH_2CH_3$

Which of the following is a suitable method for the preparation of ether via the $Williamson$ synthesis?

Identify the products $R$ and $S$ in the reaction sequence given:
$(CH_3)_3 COH$ $\xrightarrow{Na} P$ $\xrightarrow{CH_3 Br} Q$ $\xrightarrow[\Delta]{HI} R + S$