🧮
Class 11 Mathematics — Chapter 4: Principle of Mathematical Induction
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 11 Mathematics, Chapter 4 (Principle of Mathematical Induction). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 66.
Sample questions
Q1Easy
First step in PMI is:
A.Verify base case (n=1)✓ correct
B.Assume P(k)
C.Prove P(k+1)
D.Conclude
Why
Show truth at smallest n.
Q2Medium
Inductive step requires assuming truth for:
A.n=k, then proving for n=k+1✓ correct
B.All n
C.n=1 only
D.n=k+1 only
Why
Hypothesis P(k) ⇒ P(k+1).
Q3Hard
1³+2³+...+n³ =
A.(n(n+1)/2)²✓ correct
B.n²
C.n(n+1)(2n+1)/6
D.n!
Why
Square of nth triangular number.
Practise all 66 questions free
Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.
Start this chapter free →