(c)
Terminal alkyne reacts with ammoniacal$AgNO_{3}$ solution give a whilteppt, therefore $x$ must be a terminal alkyne. Thus, $x$ must be$\left( CH_{3} \right)_{2}CHC \equiv CH$
$\left( CH_{3} \right)_{2}CHC \equiv CH\overset{{KMnO}_{4}}{\rightarrow}\left( {CH}_{3} \right)_{2}CHCOOH + \lbrack HCOOH\rbrack$