MCQsClass 11 Maths Chapter 4 Principle of Mathematical Induction MCQs

Class 11 Maths Chapter 4 Principle of Mathematical Induction MCQs

Class 11 Maths Chapter 4: Principle of Mathematical Induction MCQs are provided here for students preparing for exams. These multiple-choice questions help students sharpen their problem-solving and analytical abilities. Clear explanations and correct answers are also included for each question.

Students can solve these MCQs and check their answers to improve their exam preparation. This method helps them confidently handle exams like JEE.

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    MCQs for Class 11 Maths Chapter 4 Principle of Mathematical Induction with Answers

    1. What is the first step in the principle of mathematical induction?
    a) Prove for n = k
    b) Prove for n = k+1
    c) Prove for n = 1
    d) None of the above
    Answer: c) Prove for n = 1
    2. In mathematical induction, what is the assumption step called?
    a) Base case
    b) Inductive hypothesis
    c) Conclusion step
    d) Verification step
    Answer: b) Inductive hypothesis
    3. The principle of mathematical induction is used to prove statements for:
    a) Rational numbers
    b) Real numbers
    c) Natural numbers
    d) Complex numbers
    Answer: c) Natural numbers
    4. If P(n) is true for n = 1 and P(k+1) is true assuming P(k) is true, then P(n) is true for:
    a) Some values of n
    b) All real numbers
    c) All natural numbers
    d) None of these
    Answer: c) All natural numbers
    5. To prove P(k+1) using P(k), we assume:
    a) P(k+1) is true
    b) P(k) is true
    c) Both P(k) and P(k+1) are true
    d) None of these
    Answer: b) P(k) is true
    6. Mathematical induction proves a statement is true for:
    a) Only even numbers
    b) Only odd numbers
    c) All natural numbers starting from 1
    d) Only numbers divisible by 2
    Answer: c) All natural numbers starting from 1
    7. Which of the following is not a part of mathematical induction?
    a) Base case
    b) Inductive hypothesis
    c) Inductive step
    d) Contradiction method
    Answer: d) Contradiction method
    8. What is the second step in mathematical induction?
    a) Prove for n = 1
    b) Assume P(k) is true
    c) Prove for P(k+1)
    d) None of these
    Answer: b) Assume P(k) is true
    9. Which number set is not suitable for mathematical induction?
    a) Whole numbers
    b) Natural numbers
    c) Real numbers
    d) Positive integers
    Answer: c) Real numbers
    10. In the base case, we:
    a) Prove P(k) is true
    b) Prove P(1) is true
    c) Assume P(k) is true
    d) Prove P(k+1) is true
    Answer: b) Prove P(1) is true
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