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 - 3
Question 1:
The smallest positive integer n for which n! < (n+1 / 2) holds, is
(a) 1
(b) 2
(c) 3
(d) 4
Correct Answer – (B)
Question 2 :
For all n ε N, n (n+ 1)(n + 5) is a multiple of
(a) 4
(b) 3
(c) 5
(d) 7
Correct Answer – (B)
Question 3 :
For every positive integer n, n7/7 + n5/5 + 2n3/3 – n/105 is
(a) an integer
(b) a rational number
(c) a negative real number
(d) an odd integer
Correct Answer – (A)
Question 4 :
If n εN, 72n – 48n – 1 is divisible by
(a) 25
(b) 26
(c) 1234
(d) 2304
Correct Answer – (D)
Question 5 :
If x2n – 1 + y2n – 1 is divisible by x + y, if n is
(a) a positive integer
(b) an even positive integer
(c) an odd positive integer
(d) None of these
Correct Answer – (A)
MCQ Class 11 Mathematics Principle of Mathematical Induction with Answers
Question 6 :
If P(n) is a statement (n∈ N) such that, if P(k) is true, P(k +1) is true for k∈ N, then P(n) is true
(a) for all n
(b) for all n > 1
(c) for all n > 2
(d) Nothing can be said
Correct Answer – (D)
Question 7 :
For n ∈ N, (1/5)n5 +(1/3)n3 + (7/15)n is
(a) an integer
(b) a natural number
(c) a positive fraction
(d) None of these
Correct Answer – (B)
Question 8 :
For all n≥ 2,n n2 (n4 > 1) is divisible by
(a) 60
(b) 50
(c) 40
(d) 70
Correct Answer – (A)
Question 9 :
If 49n + 16n k is divisible by 64 for n ∈ N, then the least negative integral value of k is
(a) –1
(b) –2
(c) –3
(d) –4
Correct Answer – (A)
Question 10 :
For positive integer n, 10n-2 > 81 , if
(a) n > 5
(b) n ≥ 5
(c) n < 5
(d) n > 6
