Question

Which of the following statements are not true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

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

Answer 1

The correct option is B (iii)

Any rational number can be expressed in the form of $\frac{p}{q}$. So, every whole number 0, 1, 2, 3.....so on, can be expressed in the form of a rational number by taking 1 as the denominator[$\frac{0}{1}$, $\frac{1}{1}$, $\frac{2}{1}$]. For integers, ...... -2, -1, 0, 1, 2,..... we can take 1 as the denominator and they can be expressed in the form of a rational number[$\frac{-2}{1}$,$\frac{-1}{1}$, $\frac{0}{1}$,$\frac{1}{1}$,$\frac{2}{1}$]. Hence, (i) and (ii) are correct and (iii) is incorrect .