Question

What is the remainder(s) when any whole number is divided by $2$.

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

Answer: (A), (B)

The correct options are
A $0$
B $1$

Let $x$ be any whole number.

Let's divide $x$ by $2$, we get $x=2q+r$, where $q$ is the quotient and $r$ is the remainder.

As per Euclid's division lemma, the remainder is less than or equal to zero.

So, $x=2q+r$, where $0\le r<2$

$⟹r=0$ or $r=1$

Thus, the remainder is either $0$ or $1$.

Hence, both A and B are correct.