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JEE • MATHEMATICS • SET THEORY

Set theory practice · Mixed difficulty

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 271-273 of 273 questions

271 Easy

271 of 273

Understanding +4 | -1

The set of intelligent students in a class is:

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Correct option: D

Not a well defined collection

Option D (Not a well defined collection) is correct because "intelligent students" is subjective and lacks a clear, objective criterion for membership, making it not a well-defined set.

272 Easy

272 of 273

Application +4 | -1

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is

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Correct option: C

60\%

Option C (

60\%

) is correct because it is the result of adding the individual percentages and subtracting the overlap, representing the total percentage traveling by car or bus.

273 Easy

273 of 273

Understanding +4 | -1

For any three sets

A, B

and

C,

A \times\left(B^{\prime} \cup C^{\prime}\right)^{\prime}

equals

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Correct option: A

(A \times B) \cap(A \times C)

Option A (

(A \times B) \cap (A \times C)

) is correct because it correctly applies De Morgan's law and the properties of Cartesian products to simplify the expression.

Revision notes and key takeaways

Review SET THEORY in your textbook or class notes, then use this set to check your understanding.

Showing 271-273 of 273 questions

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