If $\frac{p}{q}$ is a rational number, then $p$ cannot be equal to zero.
State whether the statement is true (T) or false (F).

True

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False

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Solution

The correct option is B False
Definition of Rational Number
Rational Numbers are the numbers that can be written in the form of $\frac{p}{q}$ where $q \neq 0$ .
The result of a rational number on dividing can be an integer.
Example of rational numbers are $\frac{2}{5}, \frac{3}{7}, \frac{4}{17}, \frac{0}{3}$ etc.
Hence the given statement is false.
Hence if $\frac{p}{q}$ is a rational number then $p$ can be equal to zero

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