Principle of Mathematical Induction MCQ Questions for Class 11 Math’s Chapter 4 with Answers

Its our pleasure to assist you towards your goal .for inbuilt quality question with standard solution may help you a lot .Class 11 Mathematics book Chapter 4 Principle of Mathematical Induction with Answers Pdf free download .This may assist you to understand and check your knowledge about the chapters . MCQ question and solution may help you to get better performance in exam .These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.


MCQ Questions for Class 11 Mathematics Chapter wise with Answers


Q1. If xn – 1 is divisible by x – k, then the least positive integral value of k is

(i) 1
(ii) 2
(iii) 3
(iv) 4

(i) 1


Q2. For all n ∈ N, 32n + 7 is divisible by

(i) 8
(ii) 3
(iii) 11
(iv) non of these

(i) 8


Q3. Find the number of shots arranged in a complete pyramid the base of which is an equilateral triangle, each side containing n shots.

(i) n(n+1)(n+2)/3
(ii) n(n+1)(n+2)/6
(iii) n(n+2)/6
(iv) (n+1)(n+2)/6

(ii) n(n+1)(n+2)/6


Q4. The sum of the series 1³ + 2³ + 3³ + ………..n³ is

(i) {(n + 1)/2}²
(ii) {n/2}²
(iii) n(n + 1)/2
(iv) {n(n + 1)/2}²

(iv) {n(n + 1)/2}²


Q5. 1/(1 ∙ 2 ∙ 3) + 1/(2 ∙ 3 ∙ 4) + …….. + 1/{n(n + 1)(n + 2)} =

(i) {n(n + 3)}/{4(n + 1)(n + 2)}
(ii) (n + 3)/{4(n + 1)(n + 2)}
(iii) n/{4(n + 1)(n + 2)}
(iv) None of these

(i) {n(n + 3)}/{4(n + 1)(n + 2)}


Q6. What is the sum of 12 + 22 + 32 + … + n2?

(i) n(n+1)(2n+1) /6
(ii) n(n+1)/6
(iii) n(n+1+2n+1) /6
(iv) n(n+1)(n+2) /3

(i) n(n+1)(2n+1) /6


Q7. If P(n) : “46ⁿ + 16ⁿ + k is divisible by 64 for n Î N” is true, then the least negative integral value of k is.

(i) – 1
(ii) 1
(iii) 2
(iv) – 2

(i) – 1


Q8. By principle of mathematical induction, 24n-1 is divisible by which of the following?

(i) 8
(ii) 3
(iii) 5
(iv) 7

(i) 8


Q9. n(n + 1)(n + 5) is a multiple of __ for all n ∈ N

(i) 2
(ii) 3
(iii) 5
(iv) 7

(ii) 3


Q10. The sum of the series 1 + 2 + 3 + 4 + 5 + ………..n is

(i) n(n + 1)
(ii) (n + 1)/2
(iii) n/2
(iv) n(n + 1)/2

(iv) n(n + 1)/2


Q11. For all n∈N, 5²ⁿ − 1 is divisible by

(i) 26
(ii) 24
(iii) 11
(iv) 25

(ii) 24


Q12. 1/(1 ∙ 2) + 1/(2 ∙ 3) + 1/(3 ∙ 4) + ….. + 1/{n(n + 1)}

(i) n(n + 1)
(ii) n/(n + 1)
(iii) 2n/(n + 1)
(iv) 3n/(n + 1)

(ii) n/(n + 1)


Q13. What is the sum of 1 + 2 + 3 + … n ?

(i) n+1/2
(ii) n/2
(iii) n(n+1)/2
(iv) n(n+2)/2

(iii) n(n+1)/2


Q14. If n is a positive integer, then 2 . 42n + 1 + 33n + 1 is divisible by :

(i) 2
(ii) 7
(iii) 11
(iv) 27

(iii) 11


Q15. 1/(1 ∙ 2 ∙ 3) + 1/(2 ∙ 3 ∙ 4) + …….. + 1/{n(n + 1)(n + 2)} =

(i) {n(n + 3)}/{4(n + 1)(n + 2)}
(ii) (n + 3)/{4(n + 1)(n + 2)}
(iii) n/{4(n + 1)(n + 2)}
(iv) None of these

(i) {n(n + 3)}/{4(n + 1)(n + 2)}


We hope the given NCERT MCQ Questions for Class 11 Mathematics book Chapter 4 Principle of Mathematical Induction with Answers PDF Free Download solution will definitely help you to achieve perfect score. If you have any queries related to CBSE Class 11 Mathematics book Chapter 4 Principle of Mathematical Induction with Answers book MCQs Multiple Choice Questions with Answers, drop your questions below and will get back to you in no time.


MCQ Questions for Class 11 Mathematics Chapter wise with Answers


Leave a Comment