Mathematical Induction — JEE Main PYQs & Practice Questions

Mathematical Induction is a Mathematics chapter in the JEE Main syllabus. This page brings together 3 previous-year and practice questions on Mathematical Induction, covering Applications to Series and Divisibility. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Applications to Series and Divisibility

• 25¹⁹⁰-19¹⁹⁰-8¹⁹⁰+2¹⁹⁰ is divisible by :
• The sum of first n odd numbers is n².
• Among the statements : (S1) : 2023²⁰²²-1999²⁰²² is divisible by 8 (S2) : 13(13)ⁿ-12 n-13…

More Mathematics chapters

• Sets
• Relations & Functions (Basic)
• Trigonometric Ratios & Identities
• Trigonometric Equations
• Inverse Trigonometric Functions
• Properties of Triangles
• Complex Numbers
• Quadratic Equations & Polynomial Inequalities
• Sequences & Series
• Binomial Theorem
• Permutations & Combinations
• Statistics
• Probability — Basic
• Straight Lines
• Circles
• Parabola
• Ellipse
• Hyperbola
• Limits
• Continuity & Differentiability
• Differentiation
• Applications of Derivatives
• Indefinite Integration
• Definite Integration
• Area Under Curves
• Differential Equations
• Vectors
• Three Dimensional Geometry
• Matrices
• Determinants
• Functions (Advanced)
• Probability — Advanced

Frequently asked questions

How many Mathematical Induction questions are there for JEE Main?

PrepWiser has 3 Mathematical Induction questions for JEE Main.

Are these Mathematical Induction questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Mathematical Induction questions?

Open any Mathematical Induction question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.