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: general terms and sums of G.P.s, term-finding equations, geometric means and the A.M.-G.M. inequality, infinite G.P. sums and recurring decimals, A.P. essentials, special-series sums, and growth-model word problems.

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 symmetric-terms choice, r=1aSr = 1 - \frac{a}{S_\infty}, equally spaced G.P. terms staying in G.P.) 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 Straight Lines
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 4 solved examples with a timer
Below 40 Rebuild from Sections 2-3 (G.P., G.M., A.M.-G.M.) 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.