Book Maths Puzzle Numerical Ability

if the product of n positive integers is n^n then their sum is----
a.a negetive no
b.eqal to n
c.eqal to (n+1/n)
d.never less than n^2

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Book Other Question

Rajesh is practising with his gun and keeps shooting at exact intervals of 34 minutes.Arun comes in a bus to meet Rajesh and he hears the 2nd shot 33 min after he hears the 1st. What is the speed of the bus(in kmph) if sound travels at 330 m/s ? what is the integration of cos^2x/(cos^2x+4sin^2x)