Question

Let A1, A2, be two AM’s and G1, G2 be two GM’s between a and b,then (A1 + A2) / G1G2 is equal to _______

(a) (a+b) / 2ab

(b) 2ab/(a+b)

(c) (a+b)/(ab)

(d) None of the mentioned

This question was addressed to me by my college professor while I was bunking the class.

The origin of the question is Arithmetic and Geometric Mean topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Correct choice is (c) (a+b)/(ab)

To explain: A1 + A2 = a + b, G1G2  = ab.