Question

Consider the following statements about natural numbers :
1. There exists a smallest natural number.
2 There exists a largest natural number.
3. Between two natural numbers there is always a natural number.
Which of these is/are correct ?

• A. None
• B. Only $1$
• C. $1$ and $2$
• D. $2$ and $3$

Answer 1

Answer: (B)

Only $1$

$1)$ There exists a smallest natural number - which is $1$. So, true.
$2)$ There exists a largest natural number - there is no upper limit to numbers. So, false.
$3)$ Between two natural numbers there is always a natural number - for example, between $1$ and $2$ there is no natural number. Hence doesn't hold good.
Hence, only option $1$ is true.