Question

If, A: Every whole number is a natural number

R : 0 is not a natural number.

Then which of the following statement is true?

• A. A is false and R is the correct explanation of A.
• B. A is true and R is false.
• C. A is true and R is the correct explanation of A.
• D. Both A and R are true.

Answer 1

Answer: (A)

The set of whole numbers is $0,1,2,3,......$ where $0$ is the least whole number.

The set of natural numbers is $1,2,3,......$.

From the above statements, we conclude that every natural number is a whole number but every whole number is not a natural number because $0$ is not a natural number.

Therefore, $0$ is not a natural number and this proves that every whole number is not a natural number.

Hence, the statement A is false and R is the correct explanation of A.