Question
72 of
100
Question Palette
If Pˣ = Qʸ = Rᶻ and Q/P = R/Q then 2z/(x + z) = ?
Correct Option:
B
Explanation
Let
P^x = Q^y = R^z = k.
Then
P = k^(1/x), Q = k^(1/y), R = k^(1/z).
Given
Q/P = R/Q,
we get Q^2 = PR. Hence
2/y = 1/x + 1/z.
Therefore
2xz = y(x + z).
Dividing by x(x + z),
2z/(x + z) = y/x.
