If ax=b, by=c and cz=a, then the value of x y z is · ABC26GN1978

Subject: General Aptitude · Chapter: Surds and Indices · Exam: M.B.A., 2005; R.R.B. 2008

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

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

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