Question

Which of the following statements are 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) and (ii) only
• B. (i)
• C. (i), (ii) and (iii)
• D. (ii) and (iii) only

Answer 1

The correct option is A

(i) and (ii) only

Any rational number can be expressed in the form of $\frac{p}{q}$. So, every whole number 0, 1, 2, 3..... 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[$\frac{-2}{1}$,$\frac{-1}{1}$, $\frac{0}{1}$,$\frac{1}{1}$,$\frac{2}{1}$].
As shown in the above two statements, zero can be expressed in the form of $\frac{0}{1}$. Therefore, zero is a whole number and it is a rational number. So, the third statement is incorrect.
Hence, (i) and (ii) are correct.