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UPSC Civil Service Exam Questions - Engineering

Q1:

A fill having a volume of 150, 000 cm is to be constructed at a void ratio of 0.8. The borrow pit soil has a void ratio of 1.4. The volume of soil required (in cubic metres) to be excavated from the borrow pit will be

A 1, 87, 500

B 2, 00, 000

C 2, 10, 000

D 2, 50, 000

ANS:B - 2, 00, 000

N = 1/(1+e) & vv/vs.
Now borrow pit n =0.416,

Fill n=1/1+e= 1/(1+0.8) = 0.5555,
Now fill. Vv=0.5555 * V.
V=150000 ;.
Vv= 0.55555 * 150000 = 83,333,

In fill. N=Vv/V.
V = Vv/n = 83,333/0.416 = 199,999 = 200,000.