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## 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, 3^{2n} + 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, 2^{4n-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)}

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## MCQ Questions for Class 11 Mathematics Chapter wise with Answers

- Chapter 1. Sets Class 11 MCQ Questions
- Chapter 2. Relations and Functions Class 11 MCQ Questions
- Chapter 3. Trigonometric Functions Class 11 MCQ Questions
- Chapter 4. Principle of Mathematical Induction Class 11 MCQ Questions
- Chapter 5. Complex Numbers and Quadratic Equations Class 11 MCQ Questions
- Chapter 6. Linear Inequalities Class 11 MCQ Questions
- Chapter . Permutations and Combinations Class 11 MCQ Questions
- Chapter 8. Binomial Theorem Class 11 MCQ Questions
- Chapter 9. Sequences and Series Class 11 MCQ Questions
- Chapter 10. Straight Lines Class 11 MCQ Questions
- Chapter 11. Conic Sections Class 11 MCQ Questions
- Chapter 12. Introduction to Three Dimensional Geometry Class 11 MCQ Questions
- Chapter 13. Limits and Derivatives Class 11 MCQ Questions
- Chapter 14. Mathematical Reasoning Class 11 MCQ Questions
- Chapter 15. Statistics Class 11 MCQ Questions
- Chapter 16. Probability Class 11 MCQ Questions