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UPSC Civil Service Exam Questions - Engineering

Q1:

The proportion of second moment of area about the centroidal axis to second moment of area about the base of a rectangle will be

A 1/4

B 1/2

C 2

D 3

ANS:A - 1/4

About centroid : I= (BD^3)/12.
At the base: I'= I+ AH^2 A=area H= distance between centroid and base
A=BD H=D/2.
I'=(BD^3)/12+ (BD^3)/4.
I'=(BD^3)/3.
Therefore I/I'=0.25.