General Aptitude TestQuantitative ReasoningPermutation & Combination

If a, b, c are in G.P. and a^1/x = b^1/y = c^1/z, then which one of t…

If $a, b, c$ are in G.P. and $a^{\frac{1}{x}} = b^{\frac{1}{y}} = c^{\frac{1}{z}}$, then which one of the following is correct?

Answer & explanation

Correct answer: option 4

Let us consider that ,

$a^{\frac{1}{x}} = b^{\frac{1}{y}} = c^{\frac{1}{z}} = k $

a = k^x , b = k^y , c = k^z

As, a , b & c are in G.P.

So, b² = ac

(k^y)² = k^x × k^z

k^2y = k^(x+z)

So,

2y = x + z

Ans :- (D) 2y = x + z