JEE Main Practice — 26 Questions

Determinants contributes 1 to 2 questions in a typical JEE Main paper — often fused with matrices through the ∣adj⁡A∣\vert \operatorname{adj} A \vert family, and regularly standing alone through property-based evaluations, singularity conditions and system solving. The 26 questions below run in a rough easy → hard progression matching the exam's spread.

Self-scoring (JEE Main scheme): +4+4 for each correct answer, −1-1 for each wrong answer, 00 for skipped. Maximum 104104.

Score Reading
80+80+ exam-ready on this chapter
5555 to 7979 solid — rework the ones you missed
3030 to 5454 revisit the adjoint-inverse formulas (Section 4) and the properties toolkit (Section 8) before drilling again
below 3030 redo Sections 1 to 5 first

Timing target: about 2.5 minutes per question, 65 minutes for the full set. Attempt every question before reading any explanation.