Q46 / 120 · VITEEE 2012 · Mathematics

Let $a$ be any element in a boolean algebra $B$. If $a+x=1$ and $a x=0$, then

A
$x=1$
B
$x=0$
C
$x=a$
Correct answer
D
$x=a^{\prime}$

Solution

Given conditions are $a+x=1$ and $a x=0$. These two conditions will be true, if $x=a^{\prime}$.

Hence, the correct answer is option: 'D'.

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