Below you will find MCQ Questions of Chapter 8 Binomial Theorem Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 11 Maths Chapter 8 Binomial Theorem with answers
1. The last two digits of the number 3^{400} are
(a) 81
(b) 43
(c) 29
(d) 01
► (d) 01
2. The number of dissimilar terms in the expansion of (a+b)n is n + 1, therefore number of dissimilar terms in the expansion of (a+b+c)12 is
(a) 91
(b) 78
(c) 39
(d) 13
► (a) 91
3. The sum of the co-efficients of all the even powers of x in the expansion of (2x^{2} – 3x + 1)^{11} is
(a) 2.6^{10}
(b) 3.6^{10 }
(c) 6^{11}
(d) None
► (b) 3.6^{10 }
4. In the expansion of (1+a)^{m+n} which of the following is true?
(a) the coefficients of a^{m} > the coefficients of a^{n}
(b) the coefficients of a^{m} and coefficients of an are always in the ratio 1:2
(c) the coefficients of a^{m} < the coefficients of a^{n}
(d) the coefficients of a^{m} = the coefficients of a^{n}
► (d) the coefficients of a^{m} = the coefficients of a^{n}
5. The largest term in the expansion of (1+x)^{19} when x = 1/2 is
(a) 6th
(b) 8th
(c) 7th
(d) None of these
► (c) 7th
6. The value of 1261/3 upto three decimals is
(a) 5.013
(b) 5.014
(c) 5.012
(d) 5.011
► (a) 5.013
6.
(a) (5n + 6)^{2n-1} - 2n + 2
(b) (5n + 6)^{2n-}1 - 2n + 3
(c) (5n - 6)^{2n-1} - 2n + 2
(d) (5n - 6)^{2n-1} - 2n + 3
► (d) (5n - 6)^{2n-1} - 2n + 3
7. 15 buses fly between Hyderabad and Tirupati. The number of ways can a man go to Tirupati from Hyderabad by a bus and return by a different bus is
(a) 15
(b) 150
(c) 210
(d) 225
► (c) 210
8. In a class of 10 students there are 3 girls. The number of ways they can be arranged in a row, so that no two girls are consecutive is k. 8!, where k =
(a) 42
(b) 12
(c) 24
(d) 36
► (a) 42
9. If coefficients of three successive terms in the expansion of (x+1)n are in the ratio 1 : 3 : 5, then n is equal to
(a) 8
(b) 9
(c) 7
(d) None of these
► (c) 7
10. If ^{9}P_{5} + 5. ^{9}P4 = ^{10}Pr, then r =
(a) 4
(b) 5
(c) 6
(d) 7
► (b) 5
11. The coefficient of xnxn in the expansion of (1−x)^{−1} is
(a) (−1)^{n}
(b) n
(c) 1
(d) (−1)^{n}_{n}
► (c) 1
12. The middle term in the expansion of (2x+3y)12 is
(a) ^{12}C_{6}(2x)^{6}(3y)^{12}
(b) ^{12}C_{6}(2x)^{6}(3y)^{6}
(c) ^{12}C_{7}(2x)^{7}(3y)^{5}
(d) ^{12}C_{7}(2x)^{5}(3y)^{7}
► (b) ^{12}C_{6}(2x)^{6}(3y)^{6}
13. Which of the following is divisible by 25:
(a) 6^{n} - 5n + 1
(b) 6^{n} + 5n
(c) 6^{n} - 5n
(d) 6^{n} - 5n - 1
► (d) 6^{n} - 5n - 1
14. The exponent of power of x occurring in the 7th term of expansion of
(a) - 5
(b) 3
(c) - 3
(d) 5
► (c) - 3
15. The value of 1 + 1.1! + 2. 2! + 3.3! + …… + n. n! is
(a) (n + 1)! + 1
(b) (n – 1)! + 1
(c) (n + 1)! – 1
(d) (n + 1)!
► (d) (n + 1)!
16. The sum of all the numbers that can be formed by taking all the digits from 2, 3, 4, 5 is
(a) 93,324
(b) 79,992
(c) 66,66,600
(d) 78,456
► (a) 93,324
17.
(a) an irrational number
(b) 0
(c) a natural number
(d) None of these
► (c) a natural number
18. The sum of the series (1^{2} + 1) 1! + (2^{2 }+ 1).2! + (3^{2} + 1).3! ...+(n^{2} + 1). n! is
(a) (n + 1).(n + 2) !
(b) n. (n + 1) !
(c) (n + 1).(n + 1) !
(d) None of these
► (b) n. (n + 1) !
19. ^{2n}C_{2} + ^{2n}C_{4} + ..... +^{ 2n}C_{2n} =
(a) 2^{2n}
(b) 2^{2n} -1
(c) 2^{2n-1}
(d) 2^{2n-1} -1
► (d) 2^{2n-1} -1
20. If in the expansion of (1 + x)m (1 – x)n, the co-efficients of x and x2 are 3 and – 6 respectively, then m is
(a) 6
(b) 9
(c) 12
(d) 24
► (c) 12
21. The total number of 9 digit numbers which have all different digits is
(a) 9.9!
(b) 10!
(c) ^{10}P_{9}
(d) 9^{9}
► (a) 9.9!
22. The coefficient of y in the expansion of
(a) 10c
(b) 20c
(c) 20c^{2}
(d) 10c^{3}
► (d) 10c^{3}
Hope the given MCQ Questions will help you in cracking exams with good marks. These Binomial Theorem MCQ Questions will help you in practising more and more questions in less time.