ABC26GN1978 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: 2008 · Marks: · Difficulty:

If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then the value of $x y z$ is

(a)0

(b)1

(c)$\frac{1}{a b c}$

(d)abc

Answer

Answer (as printed): B

Explanation

$a^{1}=c^{z}=\left(b^{y}\right)^{z}=b^{yz}=\left(a^{x}\right)^{yz}=a^{xyz} \Rightarrow x y z=1$.