Question

The given number \( 2:1311311311113 \dots \) is:

• A. A rational number
• B. An irrational number
• C. An integer
• D. None of these

Hint:

A number is irrational if its decimal representation is non-terminating and non-repeating.

Answer 1

The Correct Option is B

The given number \( 2:1311311311113 \dots \) represents a non-repeating and non-terminating decimal. By definition, such numbers are irrational numbers because they cannot be expressed as a fraction or a ratio of integers. Thus, the correct answer is (B) an irrational number.