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Free download in PDF Class 11 Maths Chapter 8 Binomial Theorem Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>
(1)
8n - 7n - 1 is always divisible by ____.
[A]
64
[B]
7
[C]
49
[D]
8
(2)
The sum of the coefficients nc1 + nc2 + nc3 + ...ncn is equal to ____
[A]
2n
[B]
2n+ 1
[C]
2n + 1
[D]
2n - 1
(3)
The middle term in the expansion of [x3 /3 - 2/x2 ]11is ____.
[A]
5th term
[B]
6th term
[C]
5th and 6th terms
[D]
6th and 7th terms
Answer: 6th and 7th terms
(4)
(2 + 5)2 - (2 - 5)2= ____.
[A]
820
[B]
1455
[C]
410
[D]
2905
(5)
The 6th term from the end, in the expansion of (x + a)14 is ____
[A]
10th term from the beginning
[B]
9th term from the beginning
[C]
6th term from the beginning
[D]
8th term from the beginning
Answer: 10th term from the beginning
(6)
The expression 7c0 + 7c1 + 7c2 + 7c3 + ... + 7c7is equal to ____
[A]
64
[B]
128
[C]
63
[D]
127
(7)
If the coefficients of the 6th and 9th terms in the expansion of (x + y)n are equal, then n is ____.
[A]
15
[B]
13
[C]
6
[D]
9
(8)
The ratio of the coefficient of xn in the expansion of (1 + x)3n to the coefficient of xn in the expansion of (1 + x)3n-1is ____
[A]
2
[B]
3/2
[C]
2/3
[D]
1/2
(9)
If the coefficient of x3y8 and x8y3 in the expansion of (x + y)n is the same, then the value of n is ____.
[A]
10
[B]
11
[C]
5
[D]
13
(10)
The number of terms in the expansion of (x+y)6 + (x-y)6is ____
(11)
If the expansion of (x + a)n,n ε N has 22 terms, then, n is equal to ____
[A]
22
[B]
24
[C]
21
[D]
23
(12)
Number of terms in the expansion of (y2 + 2xy + x2) 30is ____
[A]
31
[B]
43
[C]
61
[D]
91
(13)
If in the expansion of (1- x)2n - 1, the coefficient of xγ is Aγ, then Aγ - 1 + A2n - γ is ____.
(14)
The coefficient of x6 in the expansion (1 + x2 + x) (2 + x2)6is ____.
[A]
420
[B]
300
[C]
200
[D]
400
(15)
The coefficient of x5 in the expansion [1+X+X2+x3]13 is—
[A]
300
[B]
1000
[C]
2000
[D]
2728
(16)
If the integers r > 1, n > 2 and coefficients of (3r)th and (r + 2)nd terms in the binomial expansion of (1 + x)2n are equal, then
[A]
n = 2r
[B]
n = 3r
[C]
n = 2r + 1
[D]
none of these
(17)
The two successive terms in the expansion of (1 + x)24 whose coefficients are in the ratio 1 : 4 are
[A]
3rd and 4th
[B]
4th and 5th
[C]
5th and 6th
[D]
6th and 7th
(18)
The coefficients of xn in the expansion of (1 + x)2n and (1 + x)2n ~1 are in the ratio
[A]
1 : 2
[B]
1 : 3
[C]
3 : 1
[D]
2:1
(19)
If the coefficients of 2nd, 3rd and the 4th terms in the expansion of (1 + x)n are in A.P., then the value of n is
[A]
2
[B]
7
[C]
11
[D]
14
(20)
If A and B are coefficients of xn in the expansions of (1 + x)2n and (1 + x)2n–1 respectively, then A/B equals to
[A]
1
[B]
2
[C]
1/2
[D]
1/n
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