This question can also be solved by starting from the four metamorphic rocks and asking what parent rock each one forms from, instead of starting from the parent rocks.
- Gneiss: a coarse grained rock with visible light and dark mineral banding, produced by strong regional metamorphism of a quartz and feldspar rich igneous rock. Among the choices, that parent is granite (R), so Gneiss (1) pairs with R.
- Quartzite: an extremely hard, glassy rock made almost entirely of interlocked quartz grains. It forms only from a quartz rich sedimentary rock, which here is sandstone (S), so Quartzite (2) pairs with S.
- Marble: a rock made of interlocking calcite or dolomite crystals, formed when limestone (Q) recrystallises under heat, so Marble (3) pairs with Q.
- Slate: a fine grained, easily split rock formed at the lowest metamorphic grade from a clay rich sedimentary rock, which is shale (P), so Slate (4) pairs with P.
Putting the four pairs together gives P to 4, Q to 3, R to 1 and S to 2, which is option (A).
Let's summarize:
- Granite (igneous, quartz and feldspar rich) becomes gneiss under strong metamorphism.
- Sandstone (quartz sand) becomes quartzite; limestone (calcite) becomes marble; shale (clay) becomes slate.
So the correct match is option (A): P to 4, Q to 3, R to 1, S to 2.