Question

Which of the following is not a proposition?

• A. $\sqrt{3}$is a prime number
• B. $\sqrt{2}$ is irrational
• C. Mathematics is interesting
• D. $5$ is an even integer

Answer 1

The correct option is C

Mathematics is interesting

Exaplantion of correct option:

Proposition: The proposition is a statement that is either true or false.

Mathematics may be interesting for some people or may not be interesting for some people.

“Mathematics is interesting” is neither true nor false.

Hence it is not proposition.

Explanation of incorrect option:

Option (A)

$\sqrt{3}$ is not a natural number. So it is not a prime number.

Thus it is a false statement.

"$\sqrt{3}$ is a prime number" is a proposition.

Option (B)

$\sqrt{2}$ is an irrational number.

$\sqrt{2}$ is irrational is a true statement.

$\sqrt{2}$ is irrational is a proposition.

Option (D)

$5$ is an odd number.

"$5$ is even number" is a false statement.

$5$ is even number is a proposition.

Hence option (C) is correct.