Solution

Statement (i): Every integer is a rational number

✔ True

Any integer can be written in the form \( \frac{p}{q} \), where \( q \neq 0 \). For example: \[ 5 = \frac{5}{1} \] So, every integer is a rational number.

Statement (ii): Every rational number is an integer

✘ False

Example: \[ \frac{1}{2}, \frac{3}{4} \] These are rational numbers but not integers.

Statement (iii): A real number is either rational or irrational

✔ True

Real numbers are divided into two categories:

• Rational numbers
• Irrational numbers

Hence, every real number belongs to one of these two groups.

Statement (iv): Every whole number is a natural number

✘ False

Whole numbers include \(0\), but natural numbers start from \(1\).

So, \(0\) is a whole number but not a natural number.

Final Answer

✔ Correct option: (c) (i) and (iii)