CBSE Class 11 Mathematics Chapter 4 Principle of Mathematical Induction Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Principle of Mathematical Induction with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Principle of Mathematical Induction MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Principle of Mathematical Induction with Answers - Set - 5
Question 1:
Let P(n) denotes the statement that n 2+n is odd. It is seen that P(n) P(n + 1), P(n) is true for all
(a) n > 1
(b) n
(c) n > 2
(d) None of these
Correct Answer – (D)
Question 2 :
For all positive integral values ofn n,32n – 2n +1 is divisible by
(a) 2
(b) 4
(c) 8
(d) 12
Correct Answer – (A)
Question 3 :
For eachn n εN, 102n-1 is divisible by
(a) 11
(b) 13
(c) 9
(d) None of these
Correct Answer – (A)
Question 4 :
If nεN, then the highest positive integer which dividesn(n – 1)(n – 2) is
(a) 3
(b) 6
(c) 9
(d) 12
Correct Answer – (B)
Question 5 :
Sn is divisible by the multiple of
(a) 5
(b) 7
(c) 24
(d) None of these
Correct Answer – (A)
MCQ Class 10 Mathematics Principle of Mathematical Induction with Answers
Question 6 :
If Sn is divisible for every n, then Sn is
(a) > 0
(b) > 1
(c) > 5
(d) None of these
Correct Answer – (A)
Question 7 :
x(xn-1 -nαn-1)1 is divisible by (x – α.)2 for
(a) n > 1
(b) n > 2
(c) all n ∈ N
(d) None of the above
Correct Answer – (C)
Question 8 :
For all n εN, 2,42n+1 + 33n+1 is divisible by
(a) 2
(b) 9
(c) 3
(d) 11
Correct Answer – (D)
Question 9 :
For each n ε N, the correct statement is
(a) 2n < n
(b) n2 > 2n
(c) n4 < n10
(d) 23n > 7n + 1
Correct Answer – (C)
Question 10 :
The product of three consecutive natural numbers is divisible by
(a) 2, 4, 6
(b) 2, 3, 6
(c) 4, 6, 8
(d) 3, 4, 6