Question:medium

Which ONE of the following CORRECTLY matches the metrology instruments and their respective most common applications?

Metrology InstrumentApplication
PSine bar1Surface roughness of milled planar surface
QProfilometer2Planar surface inclination of a part
RVernier calliper3Checking shaft diameter tolerance without direct measurement
SRing GO gauge4Length of any side of a cuboid

Show Hint

Match each tool to its single most common shop-floor job: angle, roughness, length, or go/no-go check.
Updated On: Aug 5, 2026
  • P-2; Q-1; R-4; S-3
  • P-4; Q-3; R-2; S-1
  • P-4; Q-1; R-2; S-3
  • P-2; Q-1; R-3; S-4
Show Solution

The Correct Option is A

Solution and Explanation

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. \[ \boxed{P\text{-}2;\ Q\text{-}1;\ R\text{-}4;\ S\text{-}3} \]
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