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UPSC Civil Service Exam Questions - Engineering

Q1:

If a 30 m length can be taped with a precision of ± 0.01 m, then the standard error of measuring 1.08 km with the same precision will be

A ± 0.54 m

B ± 0.45 m

C ± 0.36 m

D ± 0.06 m

ANS:D - ± 0.06 m

CORRECTED LENGTH = 1080 * (30+-.01)/30.
1080+-.36.
ERROR = MEASURED VALUE - TRUE VALUE.
=(1080+-36)-1080,
=±0.36.