Class 11 Mathematics — Chapter 4: Principle of Mathematical Induction
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 11 Mathematics Chapter 4, "Principle of Mathematical Induction", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Principle of Mathematical Induction" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Principle of Mathematical Induction, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Principle of Mathematical Induction (Class 11 Mathematics)
This chapter develops the Principle of Mathematical Induction, a method to prove statements that hold for all natural numbers.
- The principle
- If a statement P(n) is true for n = 1, and P(k) true implies P(k+1) true, then P(n) is true for all natural numbers n.
- Base step
- Verify the statement for the first value (usually n = 1).
- Inductive step
- Assume P(k) holds (inductive hypothesis) and prove P(k+1) using it.
- Typical uses
- Proving formulae for sums of series, divisibility results, and inequalities over natural numbers.
Key formulas — Principle of Mathematical Induction
💡 Exam tips for Principle of Mathematical Induction
- Always do BOTH steps — the base case and the inductive step; one without the other proves nothing.
- In the inductive step, explicitly use the assumption P(k) to build P(k+1).
Sample questions
First step in PMI is:
Show truth at smallest n.
Inductive step requires assuming truth for:
Hypothesis P(k) ⇒ P(k+1).
1³+2³+...+n³ =
Square of nth triangular number.
Principle of Mathematical Induction — FAQs
What are the key concepts in Class 11 Mathematics Principle of Mathematical Induction?+
This chapter develops the Principle of Mathematical Induction, a method to prove statements that hold for all natural numbers. Key ideas include The principle, Base step, Inductive step, Typical uses.
What does Class 11 Mathematics Chapter 4 (Principle of Mathematical Induction) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Principle of Mathematical Induction" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Principle of Mathematical Induction" questions free to practise?+
Yes — sign in with Google to practise "Principle of Mathematical Induction" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Principle of Mathematical Induction" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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