Process-based matching: Each parent rock is matched to its metamorphic product by the type of metamorphism it undergoes.
Conglomerate, under regional/dynamic metamorphism, recrystallises into a coarsely banded rock, Gneiss.
Slate, formed from shale under low-grade regional metamorphism, progresses further to a shinier, foliated rock, Phyllite.
Coal, under very high pressure and heat, loses volatiles and is reduced to nearly pure carbon, Graphite.
Sandstone, composed mainly of quartz grains, recrystallises into a hard, interlocking quartz rock, Quartzite.
Checking each option against this rock-by-rock correspondence, only the pairing Conglomerate-Gneiss, Slate-Phyllite, Coal-Graphite, Sandstone-Quartzite is fully consistent, which corresponds to option (A)-(III), (B)-(II), (C)-(I), (D)-(IV).