Question

Which of the following statements is false?
(i) All whole numbers are rational numbers.
(ii) Negative integers are not rational numbers.
(iii) Zero is not a rational number.

• A. (i) and (iii)
• B. (i) and (iii)
• C. (ii) and (iii)
• D. (i)

Answer 1

The correct option is C (ii) and (iii)

A rational number can be expressed in the form $\frac{p}{q}$.
(i) All whole numbers, 0,1,2,3.... can be expresessed in the form of a rational number, taking 1 as the denominator.
example: $\frac{0}{1}$ , $\frac{1}{1}$ , $\frac{2}{1}$ and so on. Hence (i) is true.
(ii) Negative integers can also be expressed as rational numbers, taking 1 as the denominator.
example: -2 can be expressed as $\frac{-2}{1}$
Hence (ii) is false. Negative numbers are rational numbers.
(iii) Zero is a rational number, as all whole numbers are rational numbers.
Hence, (iii) is false.