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 draws from this chapter: ordered pairs and Cartesian products, relations with their domains and ranges, functions and the standard graphs, domain-range computations, greatest integer and fractional part, and the counting formulas for relations and functions.
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 direct formula questions you should finish in under a minute, half standard two-step problems, and a quarter 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. Then read the explanation of every question, including the ones you got right — several carry shortcuts (the range rule, complement counting, the n + t substitution) 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 — this chapter is exam-ready; move to Trigonometric Functions |
| 64-87 | Solid — revisit the explanations of your errors, re-attempt those in 3 days |
| 40-63 | Concepts in place but speed/accuracy needs work — redo the Section 6 solved examples with a timer |
| Below 40 | Rebuild from Sections 3-4 (functions, algebra of functions) before re-attempting |
Key Point: A skipped question costs 0 but a wrong guess costs −1 AND a wasted minute. If no plan forms in 30 seconds, mark for review and move on — disciplined skipping is a scoring skill.