If $a = b x, b = c y$ and $c = a z,$ then the value of $x y z$ is equal to

1

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4

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3

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6

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Solution

The correct option is A $1$
We have,
$a = b x$
$b = c y$
$c = a z$

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

Therefore,
$x y z = a / b \times b / c \times c / a = 1$

Hence, this is the answer.

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