UPSC NDA I 2015 General Ability Solved Paper

If the radius of the earth were to shrink by one percent, mass remaining the same, the value of g will increase by 2%.
g=‌‌

GM

R2

If mass remains constant, then g∝‌‌

1

R2

% increase in g = 2 (% decrease in R)
=2×1%=2%
Therefore value of g will increase by 2%.