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Divisibility by 5

If ab - b +...

Question

If $(a b - b + 1 = 0)$ and $(b c - c + 1 = 0)$ then what is $(a - a c)$ equal to?

A

- 1

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B

0

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C

1

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D

2

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Solution

The correct option is B $1$
$b (1 - a) = 1; c (1 - b) = 1$
$\Rightarrow c [1 - \frac{1}{1 - a}] = 1$
$\Rightarrow c [1 - a - 1] = 1 - a$
$\Rightarrow - c a = 1 - a$ or $a - a c = 1$ .

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