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UPSC Civil Service Exam Questions - Engineering

Q1:

In a closed theodolite traverse, the sum of the latitudes is + 5.080 m and the sum of the departures is -51.406 m. The sum of the traverse legs is 20.525 km. The accuracy of traverse is nearly equal to

A 1 : 300

B 1 : 400

C 1 : 500

D 1 : 1000

ANS:B - 1 : 400

Close Traverse leg length = 20525m.
L = +5.080m.
D = -51.406m.

Total error(E)= √ L^2+D^2.
ANS = 51.65.
RELATIVE PRECESSION = E÷TRAVERSE LEG LENGTH.
ANS=(51.65÷20525)= 1:397 = 1:400(APPROX).