Given below are two statements:
Statement (I): All natural numbers are rational numbers.
Statement (II): 1 is the smallest prime number.
In the light of the above statements, choose the most appropriate answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Statement I is correct but Statement II is incorrect
Statement (I): All natural numbers are rational numbers. Correct. A rational number is one that can be written as \(\frac{p}{q}\) with integers \(p\), \(q\) and \(q\ne0\). Every natural number \(n\) can be written as \(\frac{n}{1}\), so it is rational.
Statement (II): 1 is the smallest prime number. Incorrect. A prime number has only two factors, 1 and itself. The number 1 has only one factor, so it is neither prime nor composite; the smallest prime number is 2.