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.
Students who are searching for NCERT MCQ Questions for Class 11 Mathematics Principle of Mathematical Induction with Answers are compiled here to get good practice on all fundamentals. Know your preparation level on MCQ Questions for Class 11 Mathematics with Answers. You can also verify your answers from our provided MCQ Class 11 Mathematics Principle of Mathematical Induction with Answers. So, ace up your preparation with MCQ of Chapter 4 Mathematics Objective Questions.
MCQ Class 11 Mathematics Principle of Mathematical Induction with Answers - Set - 4
Question 1:
For all n εN, 41n-14n is a multiple of
(a) 26
(b) 27
(c) 25
(d) None of these
Correct Answer – (B)
Question 2 :
Let P(n) : n2+n+1 is an even integer. If P(k) is assumed true ⇒P(k + 1) is true. Therefore, P(n) is true
(a) for n > 1
(b) for all n > N
(c) for n > 2
(d) None of these
Correct Answer – (D)
Question 4 :
For all nεN ,3.52n+1 +23n+1 is divisible by
(a) 19
(b) 17
(c) 23
(d) 25
Correct Answer – (B)
Question 5 :
The greatest positive integer, which divides
(n + 2) (n + 3) (n + 4) (n + 5) (n + 6) for all n ε N, is
(a) 4
(b) 120
(c) 240
(d) 24
Correct Answer – (B)
MCQ Class 11 Mathematics Principle of Mathematical Induction with Answers
Question 6 :
If xn – 1 is divisible by x – k, then the least positive integral value of k is
(a) 1
(b) 2
(c) 3
(d) 4
Correct Answer – (A)
Question 7 :
For eachn n εN, 32n-1 is divisible by
(a) 8
(b) 16
(c) 32
(d) None of these
Correct Answer – (A)
Question 8 :
If P(n) is a statement such that P(3) is true.
Assuming P(k) is true P(k + 1) is true for all k ε 3, then P(n) is true
(a) for all n
(b) for n ≥ 3
(c) for n > 4
(d) None of these
Correct Answer – (B)
Question 9 :
If m, n are any two odd positive integer with n m, then the largest positive integers which divides all the numbers of the type m2 – n 2 is
(a) 4
(b) 6
(c) 8
(d) 9
Correct Answer – (C)
Question 10 :
The inequality n ! > 2n-1 is true for
(a) n > 2
(b) n > N
(c) n > 3
(d) None of these
