BITSAT Mathematics Principle Of Mathematical Induction MCQs

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Explore reliable objective questions for Principle Of Mathematical Induction tailored for BITSAT learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Chapter-wise Objective Questions: Principle Of Mathematical Induction

View or download the dedicated Principle Of Mathematical Induction MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

 

Question: If BITSAT Mathematics Principle of Mathematical Induction 1 then P(n) is true for

  • a) BITSAT Mathematics Principle of Mathematical Induction 2
  • b) n > 0
  • c) n < 0
  • d)

    BITSAT Mathematics Principle of Mathematical Induction 3

Answer: BITSAT Mathematics Principle of Mathematical Induction 3

 

Question: The greatest positive integer, which divides n(n +1)(n + 2)(n + 3) for all n€N , is

  • a) 2
  • b) 6
  • c) 24
  • d) 120

Answer: 24

 

Question: Let T(k) be the statement 1 + 3 + 5 + ... + (2k – 1)= k2 +10

Which of the following is correct?

  • a) T(1) is true
  • b) T(k) is true Þ T(k + 1) is true
  • c) T(n) is true for all n €N
  • d) All above are correct

Answer: T(k) is true Þ T(k + 1) is true

 

Question: For n€ N, xn+1 + (x + 1)2n–1 is divisible by

  • a) x
  • b) x + 1
  • c) x2 + x + 1
  • d) x2 – x + 1

Answer: x2 + x + 1

 

Question: 10n + 3(4n+2) + 5 is divisible by (n €N)

  • a) 7
  • b) 5
  • c) 9
  • d) 17

Answer: 9

 

Question: If 

BITSAT Mathematics Principle of Mathematical Induction 4

having n radical signs then by methods of mathematical induction which is true

  • a)

    BITSAT Mathematics Principle of Mathematical Induction 5

  • b)

    BITSAT Mathematics Principle of Mathematical Induction 6

  • c)

    BITSAT Mathematics Principle of Mathematical Induction 7

  • d)

    BITSAT Mathematics Principle of Mathematical Induction 8

Answer:

BITSAT Mathematics Principle of Mathematical Induction 6

 

Question: Let S(k) = 1+ 3+ 5...+ (2k -1) = 3 + k2 . Then which of the following is true?

  • a) Principle of mathematical induction can be used to prove the formula
  • b)

    BITSAT Mathematics Principle of Mathematical Induction 9

  • c)

    BITSAT Mathematics Principle of Mathematical Induction 10

  • d) S(1) is correct

Answer:

BITSAT Mathematics Principle of Mathematical Induction 9

 

Question: The inequality n! > 2n–1 is true for

  • a) n > 2
  • b) n€ N
  • c) n > 3
  • d) None of these

Answer: n > 2

 

Question: 10n + 3(4n+2) + 5 is divisible by (n €N)

  • a) 7
  • b) 5
  • c) 9
  • d) 17

Answer: 9

 

Question: The greatest positive integer, which divides n(n +1)(n + 2)(n + 3) for all n€N , is

  • a) 2
  • b) 6
  • c) 24
  • d) 120

Answer: 24

 

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Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics BITSAT material?

Yes, our BITSAT Mathematics Principle Of Mathematical Induction MCQs include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the BITSAT paper is now competency-based.

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