JEE Main Pattern Practice Questions

The Drill: 26 Questions, JEE Main Rules

Note: These are original questions written to the JEE Main pattern for Differential Equations — single-correct MCQs at exam difficulty. They are practice items, not past-paper reproductions.

Simulate the exam:

1. Time budget: 26 questions in 60 minutes — classification speed is everything in this chapter.
2. Marking: JEE Main scheme — +4 correct, −1 wrong, $0$ unattempted.
3. Attempt everything in one sitting before reading any explanation.

Self-scoring table:

Interpreting your score: 85+ — exam-ready on differential equations; 65-84 — classification is fine, drill the substitution tricks and integrating-factor table from Section 8; 40-64 — revisit Sections 3 to 5, then retake; below 40 — go back through the solved examples of Section 6 first.

Before computing anything, spend ten seconds classifying each stem: separable, homogeneous, linear (in $y$ or in $x$), Bernoulli, a shift block $ax + by + c$, or a formation/order-degree question that needs no integration at all. Roughly a third of this drill is solvable in under a minute if the classification is right — and nearly unsolvable in three minutes if it is wrong.