Check the below NCERT MCQ Questions for Class 11 Maths Chapter 8 Binomial Theorem with Answers Pdf free download. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. We have provided Binomial Theorem Class 11 Maths MCQs Questions with Answers to help students understand the concept very well.

## Q.1 The number 111111 ………….. 1 (91 times) is

(a) not an odd number

(b) none of these

(c) not a prime

(d) an even number

(c) not a prime

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

(a) an odd positive integer

(b) none of these

(c) an even positive integer

(d) not an integer

(c) an even positive integer

## Q.3 If y = 3x + 6x² + 10x³ + ………. then x =

(a) 4/3 – {(1 × 4)/(3² × 2)}y² + {(1 × 4 × 7)/(3² ×3)}y³ – ………..

(b) -4/3 + {(1 × 4)/(3² × 2)}y² – {(1 × 4 × 7)/(3² ×3)}y³ + ………..

(c) 4/3 + {(1 × 4)/(3² × 2)}y² + {(1 × 4 × 7)/(3² ×3)}y³ + ………..

(d) None of these

(d) None of these

## Q.4 If n is a positive ineger then 2³ⁿ – 7n – 1 is divisible by

(a) 7

(b) 9

(c) 49

(d) 81

(c) 49

## Q.5 In the binomial expansion of (a + b)ⁿ, the coefficient of fourth and thirteenth terms are equal to each other, then the value of n is

(a) 10

(b) 15

(c) 20

(d) 25

(b) 15

## Q.6 The number of ordered triplets of positive integers which are solution of the equation x + y + z = 100 is

(a) 4815

(b) 4851

(c) 8451

(d) 8415

(b) 4851

## Q.7 In the expansion of (a + b)ⁿ, if n is odd then the number of middle term is/are

(a) 0

(b) 1

(c) 2

(d) More than 2

(c) 2

## Q.8 The number of terms in the expansion (2x + 3y – 4z)ⁿ is

(a) n + 1

(b) n + 3

(c) {(n + 1) × (n + 2)}/2

(d) None of these

(c) {(n + 1) × (n + 2)}/2

## Q.9 If n is a positive integer, then (√5+1)²ⁿ + 1 − (√5−1)²ⁿ + 1 is

(a) an odd positive integer

(b) not an integer

(c) none of these

(d) an even positive integer

(b) not an integer

## Q.10 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

(a) 2

(b) 4

(c) 6

(d) 8

(c) 6

## Q.11 If the fourth term in the expansion (ax + 1/x)ⁿ is 5/2, then the value of x is

(a) 4

(b) 6

(c) 8

(d) 5

(b) 6

## Q.12 The value of -1° is

(a) 1

(b) -1

(c) 0

(d) None of these

(b) -1

## Q.13 The coefficient of y in the expansion of (y² + c/y)^{5 }is

(a) 10c

(b) 10c²

(c) 10c³

(d) None of these

(c)

## Q.14 (1.1)^{10000} is ………….. 1000

(a) greater than

(b) less than

(c) equal to

(d) None of these

(a) greater than

## Q.15 The fourth term in the expansion (x – 2y)^{12} is

(a) -1670 x^{9} × y³

(b) -7160 x^{9} × y³

(c) -1760 x^{9} × y³

(d) -1607 x^{9} × y³

(c)

## Q.16 If n is a positive integer, then (√3+1)^{2n+1} + (√3−1)^{2n+1} is

(a) an even positive integer

(b) a rational number

(c) an odd positive integer

(d) an irrational number

(d) an irrational number

## Q.17 If the third term in the binomial expansion of (1 + x)^{m} is (-1/8)x² then the rational value of m is

(a) 2

(b) 1/2

(c) 3

(d) 4

(b) 1/2

## Q.18 If α and β are the roots of the equation x² – x + 1 = 0 then the value of α^{2009} + β^{2009} is

(a) 0

(b) 1

(c) -1

(d) 10

(b) 1

## Q.19 In the binomial expansion of (7^{1/2} + 5^{1/3})^{37}, the number of integers are

(a) 2

(b) 4

(c) 6

(d) 8

(c) 6

## Q.20 In the expansion of (a + b)n, if n is even then the middle term is

(a) (n/2 + 1)^{th} term

(b) (n/2)^{th} term

(c) n^{th }term

(d) (n/2 – 1)^{th} term

(a)

## Q.21 The general term of the expansion (a + b)n is

(a) T_{r+1} = ^{n}C_{r} × a^{r }× b^{r}

(b) T_{r+1} = ^{n}C_{r} × a^{r} × b^{n-r}

(c) T_{r+1} = ^{n}C_{r} × a^{n-r} × b^{n-r}

(d) T_{r+1} = ^{n}C_{r} × a^{n-r }× b^{r}

(d)

## Class 11 Maths with Answers Chapter Wise

**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 7: 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**

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