RBSE Class 11 Maths Important Questions Chapter 4 Principle of Mathematical Induction

Rajasthan Board RBSE Class 11 Maths Important Questions Chapter 4 Principle of Mathematical Induction Questions and Answers.

RBSE Class 11 Maths Chapter 4 Important Questions Principle of Mathematical Induction

Multiple Choice Questions

Question 1.
If n is positive integer then 5ⁿ - 2ⁿ, is divisible by :
(a) 2
(b) 3
(c) 4
(d) None of these
Answer:
(b) 3

Question 2.
For positive integer n, 11ⁿ - 3ⁿ, is divisible by :
(a) 8
(b) 11
(c) 3
(d) None of these
Answer:
(a) 8

Question 3.
For positive integer n, 4ⁿ - 3n - 1, is divisible by :
(a) 2
(b) 9
(c) 18
(d) None of these
Answer:
(b) 9

Question 4.
For positive integer n, n (n + 1)(n + 2), is divisible by:
(a) 12
(b) 9
(c) 18
(d) None of these
Answer:
(a) 12

Question 5.
For positive integer n, 4ⁿ + 15n - 1, is divisible by :
(a) 9
(b) 12
(c) 15
(d) None of these
Answer:
(a) 9

Question 6.
For positive integer n, 7²ⁿ + 16n - 1, is divisible by:
(a) 18
(b) 64
(c) 28
(d) None of these
Answer:
(b) 64

Question 7.
For positive integer n, 10^{2n - 1} + 1, is divisible by :
(a) 11
(b) 12
(c) 18
(d) None of these
Answer:
(a) 11

Question 8.
For positive integer n, 2³ⁿ - 7n - 1, is divisible by :
(a) 49
(b) 94
(c) 63
(d) None of these
Answer:
(a) 49

Question 9.
For positive integer n, 2.7ⁿ + 3.5ⁿ - 5, is divisible by :
(a) 24
(b) 28
(c) 32
(d) None of these
Answer:
(a) 24

Question 10.
For positive integer n, 2³ⁿ - 1, is divisible by :
(a) 7
(b) 5
(c) 8
(d) None of these
Answer:
(a) 7