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

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(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

(i) – 1
(ii) 1
(iii) 2
(iv) – 2

(i) – 1

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

(i) 8

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

(ii) 3

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

(iv) n(n + 1)/2

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

(ii) 24

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

(ii) n/(n + 1)

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

(iii) n(n+1)/2

(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)}

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