Your JEE Main Mock Drill for This Chapter

This is a 27-question practice quiz in the JEE Main pattern, spanning the topics the official NTA syllabus draws from this chapter: solving linear and double inequalities, sign-flip situations, interval notation, systems of inequalities, modulus inequalities, rational inequalities with sign analysis, and inequality word modelling.

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 every explanation, including for questions you got right — several carry standard results (the band-vs-rays shapes of modulus answers, the never-cross-multiply rule, denominator zeros always excluded) worth quoting directly 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; carry the momentum into Permutations and Combinations
64-87 Solid — revisit the explanations of your errors, re-attempt those in 3 days
40-63 Concepts in place but speed needs work — redo Section 5 solved examples with a timer
Below 40 Rebuild from Sections 2-3 (rules, double inequalities, systems) before re-attempting

Key Point: A skipped question costs 0 but a wrong guess costs −1 AND a wasted minute. No plan in 30 seconds → mark for review and move on.