Your JEE Main Mock Drill for This Chapter

This is a 27-question practice quiz in the JEE Main pattern, built on the topics the official NTA syllabus lists for sets: representations, union-intersection-complement and their algebraic properties, and the power set — plus the subset-counting and cardinality (survey) problems that JEE Main draws from this topic every year.

These questions are modelled on the JEE Main pattern and difficulty; they are practice questions in the exam style, not reproductions of specific past papers.

The mix mirrors a real paper: roughly a quarter are direct formula questions you should finish in under a minute, half are standard two-step problems, and a quarter are multi-step or trap questions of the kind that separate 99 percentilers.

[JEE Tip] Attempt all 27 in a single 60-minute sitting before reading any explanation — sets questions in the real exam must average under 2 minutes each. Then read the explanation of every question, including the ones you got right: several explanations carry shortcuts (the even-odd factorisation for 2m2k2^m - 2^k, complement counting, the centre-outward Venn fill) that save real time on exam day.

Score Yourself Like the Exam

Use JEE Main marking: +4 for a correct answer, −1 for a wrong one, 0 for skipped. Maximum score 108.

Score Reading
88+ Excellent — sets is exam-ready; move to Relations and Functions
64-87 Solid — revisit the explanations of your errors, re-attempt those in 3 days
40-63 Concepts are in place but speed/accuracy needs work — redo the Section 6 solved examples with a timer
Below 40 Rebuild from Sections 3-4 (subsets, operations) before re-attempting

Key Point: A skipped question costs 0 but a wrong guess costs −1 AND a wasted minute. If a question resists you for 30 seconds with no plan forming, mark it and move on — disciplined skipping is a scoring skill this drill should also train.