Question

If A : Rational numbers are always closed under division and
R : Division by Zero is not defined, then which of the following statement is correct?

• A. A is True and R is the correct explanation of A
• B. A is False and R is the correct explanation of A
• C. A is True and R is False
• D. None of these

Answer 1

The correct option is B A is False and R is the correct explanation of A

Let us take two rational numbers $\frac{3}{5}$ and $\frac{0}{3}$
Then the division $\frac{3}{5}$ $÷$ $\frac{0}{3}$ is not a rational number.
So division is not closure because division by zero is not defined.

$\therefore$ option $B$ is correct