Question

Consider the following three statements.
Statement – 1: Every natural number is a whole number
Statement – 2: Every rational number is an integer
Statement – 3: Every integer is a rational number.
Which of the following is true?

• A. Statement 1 and 3 are true but statement 2 is false
• B. Statement 1 and 2 are true but statement 3 is false
• C. Statement 1 and 3 are false but statement 2 is true
• D. Statement 1 and 2 are false and statement 3 is true

Answer 1

The correct option is A Statement 1 and 3 are true but statement 2 is false

Statement – I – True, Natural numbers start from 1 and continue to infinite and whole numbers
start from 0 to and continue infinite.
$\therefore$ Every natural number is a whole number, but not its converse.
Statement – 2 – False, because $\frac{2}{3}$ is a rational number, but not an integer.
Statement – 3 – True, because if p is an integer then it can also be written as $\frac{p}{1}$ which is rational.