Step 1: What we are checking:
We have to link P, Q, R, S (instruments) to 1, 2, 3, 4 (their applications), and four answer choices give different pairings.
Instead of matching all four from scratch, we can knock out wrong options one distinguishing fact at a time.
Step 2: Use one strong fact to eliminate options:
A sine bar is an angle-measuring tool, it works with slip gauges to set up precise angles, it has nothing to do with cuboid length or roughness.
So P must go with 2 (planar surface inclination), this alone kills options (B) and (C), since both give P a value other than 2.
We are left with options (A) and (D), both of which already agree on P-2 and Q-1.
Step 3: Break the tie between the remaining options:
Options (A) and (D) only differ on R and S.
Option (A) says R-4, S-3, meaning vernier calliper measures cuboid length and ring GO gauge checks shaft tolerance.
Option (D) says R-3, S-4, meaning vernier calliper checks shaft tolerance and ring GO gauge measures cuboid length.
A ring gauge is a fixed go/no-go tool, it can only tell pass or fail on a shaft diameter, it cannot give a length reading for a cuboid, so S must be 3, not 4.
That makes option (D) wrong and confirms option (A).
Final Answer:
Eliminating with the sine bar fact and the ring gauge fact leaves only one consistent pairing.
\[ \boxed{P\text{-}2;\ Q\text{-}1;\ R\text{-}4;\ S\text{-}3} \]