UPSC Civil Service Exam Questions - Engineering

Q1:

A 20 m chain was found to be 10 cm too long after chaining a distance of 2000 m. It was found to be 18 cm too long at the end of the day's work after chaining a total distance of 4000 m. What is the true distance if the chain was correct before the commencement of the day's work ?

A 3962 m

B  4019 m

C 3981 m

D 4038 m

ANS:B -  4019 m

T*T' = F' * F.

F' = 20(.10+.18/2) = 20.14,
Now T * 20 = 20.14 * 4000.

T = 20.14 * 4000/20 = 4029.
So the answer is B.