Binomial Theorem MCQ Questions for Class 11 Maths Chapter 8 with Answers

Class 11 Maths MCQ

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 8 Binomial Theorem with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Binomial Theorem. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The value of -1° is

(i) 1
(ii) -1
(iii) 0
(iv) None of these

(ii) -1

Q2. The total number of terms in the expansion of (x + a)100 + (x – a) 100 after simplification will be

(i) 202
(ii) 51
(iii) 50
(iv) None of these

(ii) 51

Q3. What is the remainder when 848 is divided by 63?

(i) 4
(ii) 2
(iii) 1
(iv) 7

(iii) 1

Q4. The number 111111 ………….. 1 (91 times) is

(i) not an odd number
(ii) none of these
(iii) not a prime
(iv) an even number

(iii) not a prime

Q5. If n is a positive integer, then (√3+1)2n+1 + (√3−1)2n+1 is

(i) an even positive integer
(ii) a rational number
(iii) an odd positive integer
(iv) an irrational number

(iv) an irrational number

Q6. In the expansion of (1 + x)n, the binomial coefficients of three consecutive terms are respectively 220, 495 and 792. The value of n is:

(i) 10
(ii) 11
(iii) 12
(iv) 13

(iii) 12

Q7. The coefficient of y in the expansion of (y² + c/y)5 is

(i) 10c
(ii) 10c²
(iii) 10c³
(iv) None of these

(iii) 10c³

Q8. What is the remainder when 4103 is divided by 17?

(i) 10
(ii) 14
(iii) 13
(iv) 16

(iv) 16

Q9. The number of terms in the expansion (2x + 3y – 4z)ⁿ is

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

(iii) {(n + 1) × (n + 2)}/2

Q10. If the third term in the binomial expansion of (1 + x)m is (-1/8)x² then the rational value of m is

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

(ii) 1/2

Q11. What is the coefficient of x³ in (3 2x) / (1 3x)³

(i) – 272
(ii) – 540
(iii) – 870
(iv) – 918

A (iv) – 918

Q12. What is the integral part of (√3 + 1)8?

(i) 1558
(ii) 1551
(iii) 1552
(iv) 1556

(iii) 1552

Q13. The coefficient of y in the expansion of (y² + c/y)5 is

(i) 29c
(ii) 10c
(iii) 10c³
(iv) 20c²

(iii) 10c³

Q14. The greatest coefficient in the expansion of (1 + x)10 is

(i) 10!/(5!)
(ii) 10!/(5!)²
(iii) 10!/(5! × 4!)²
(iv) 10!/(5! × 4!)

(ii) 10!/(5!)²

Q15. The minimum positive integral value of m such that (1073)71 – m may be divisible by 10, is

(i) 1
(ii) 3
(iii) 7
(iv) 9

(iii) 7

Q16. What is the real part of (11 + i)³?

(i) 1331
(ii) 1332
(iii) 1328
(iv) 1329

(iii) 1328

Q17. If n is a positive integer, then 9n+1 – 8n – 9 is divisible by

(i) 8
(ii) 16
(iii) 32
(iv) 64

(iv) 64

Q18. The coefficient of xn in the expansion of (1 – 2x + 3x² – 4x³ + ……..)-n is

(i) (2n)!/n!
(ii) (2n)!/(n!)²
(iii) (2n)!/{2×(n!)²}
(iv) None of these

(ii) (2n)!/(n!)²

Q19. In the expansion of (1 + x)50, the sum of the coefficients of odd powers of x is :

(i) 0
(ii) 249
(iii) 250
(iv) 251

(ii) 249

Q20. The number of ordered triplets of positive integers which are solution of the equation x + y + z = 100 is

(i) 4815
(ii) 4851
(iii) 8451
(iv) 8415

(ii) 4851

Q21. The value of n in the expansion of (a + b)n if the first three terms of the expansion are 729, 7290 and 30375, respectively is

(i) 2
(ii) 4
(iii) 6
(iv) 8

(iii) 6

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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