Which of the following collections is not a set?
Answer and explanation
Correct answer: The collection of hardworking students in a class
A set must be well-defined, so membership cannot depend on personal opinion. “Hardworking” has no fixed mathematical criterion in the question; different people may classify the same student differently. The days of a week, odd numbers below 20, and planets are objectively identifiable collections, so they can be sets.
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What is the correct answer to this question?
The collection of hardworking students in a class
Why is this the correct answer?
A set must be well-defined, so membership cannot depend on personal opinion. “Hardworking” has no fixed mathematical criterion in the question; different people may classify the same student differently. The days of a week, odd numbers below 20, and planets are objectively identifiable collections, so they can be sets.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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