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JEE Mathematical Induction PYQs with Solutions

6 previous year questions from Mathematical Induction (JEE Main & Advanced Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

6 questionsMathematics2002–2020Answers + solutions

About Mathematical Induction PYQs

Mathematical Induction has 6 previous year questions in the Quantrex Academy JEE Main & Advanced Mathematics bank. The 6 questions in this list come from NTA Abhyas JEE Main (3) and JEE Main (3), spanning 2002 to 2020. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2020: 3
  • 2005: 1
  • 2004: 1
  • 2002: 1

Mathematical Induction questions with solutions

1

If x and y are two distinct integers and n is a natural number then x^ n - y^ n is divisible by

NTA Abhyas JEE Main 2020 Solution View → 2

If (27) ^ 999 is divided by 7, then the remainder is

NTA Abhyas JEE Main 2020 Solution View → 3

2 ^ n < n ! is true for \ wheren ∈ N\

NTA Abhyas JEE Main 2020 Solution View → 4

If A=[ array ll 1 & 0 1 & 1 array ] and I=[ array ll 1 & 0 0 & 1 array ] , then which one of the following holds for all n ≥ 1 , by the principle of mathematical indunction

JEE Main 2005 Solution View → 5

Let S(K)=1+3+5+…+(2 K-1)=3+K^2 . Then which of the following is true?

JEE Main 2004 Solution View → 6

If a_n= 7+ 7+ 7+… . having n radical signs then by methods of mathematical induciton which is true

JEE Main 2002 Solution View →
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Related JEE Mathematics chapters

Application of Derivatives (795)Three Dimensional Geometry (756)Sequences and Series (748)Functions (700)Definite Integration (692)Vector Algebra (616)Differential Equations (586)Continuity and Differentiability (576)Probability (561)Complex Number (551)Binomial Theorem (550)Quadratic Equation (517)