Question

Which of the following collections is not a set?

• A. The collection of all boys in a class
• B. The collection of all even integers
• C. The collection of ten most talented writers of India.
• D. None of the above

Answer 1

The Correct Option is C

We are asked to identify which of the following collections is not a set.

\(   \textbf{The collection of all boys in a class}\) is a set because it is well-defined and includes all boys in a particular class.
\(   \textbf{The collection of all even integers}\) is a set because it is a well-defined collection of numbers that follows a specific rule.
\(   \textbf{The collection of ten most talented writers of India}\) is \(\textbf{not a set}\) because "most talented" is a subjective criterion, and it may differ from person to person. Therefore, this collection is not well-defined.
\(   \textbf{None of the above}\) is incorrect, as the collection of ten most talented writers is not a set.

Thus, the collection of ten most talented writers of India is \( \textbf{not a set}\).

The correct option is (C): The collection of ten most talented writers of India.