ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 10

MCQ's Test For ECAT Mathematics Chapter 10 Mathematical Induction

Try The MCQ's Test For ECAT Mathematics Chapter 10 Mathematical Induction

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ECAT Mathematics Chapter 10 Mathematical Induction

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Question # 1

If the sum of co-efficient in the expansion of (a+b)nis 4096, then the greatest co-efficient in the expansion is

Question # 2

The fifth term of (a+2x3)17 is

Question # 3

The sum of the odd coefficients in the expansion of (a + x)4is

Question # 4

(51)4is equal to

Question # 5

If (1+x)n=C0+ C1x +C2x2+ ......+Cnx1then C0C2+ C1C3+ C2C4+ .....+Cn-2Cn=

Question # 6

(x3-1/2x)6 is

Question # 7

If n is add the expansion (a + x)nhas middle terms

Question # 8

If n is any positive integer then n! > 2n-1for

Question # 9

If n is any positive integer then n2> n + 3 for

Question # 10

n(n-1)(2n-1), for all natural numbers n, is divisible by

Question # 11

The coefficient of the third term of (8a-b)1/3, after simplification is

Question # 12

n! > 2n-1 is true when

Question # 13

If | x | < 1, then the first two terms of (1 - x)1/2are

Question # 14

The greatest term in the expansion of (3+2x)9, when x=1 is

Question # 15

The coefficient of xn in the expansion of (1-x)-1 is

Question # 16

The sum of even coefficient in the binomial expansion is

Question # 17

The middle term of (x-y)8is

Question # 18

The sum of the even coefficients in the expansion (1 + x)nis

Question # 19

The term involving x4 the expansion (3-2x)7 is

Question # 20

The number of terms in the expansion of (a + b)9is

Question # 21

For each natural number n, n (n+1) is

Question # 22

The first three terms in the expansion of (1 - x)-3are

Question # 23

The 8th term of (1+2x) -1/2is

Question # 24

72n+ 3n-1. 23n-3is divisible by

Question # 25

There is no integer n for which 3n is

Question # 26

for n€ N, 32n + 7 is divisible by

Question # 27

The general term in the expansion of (a+x)n is

Question # 28

For n€ N,2n>2 > n is to only when

Question # 29

a + x is ______

Question # 30

The sum of first n even number is

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ECAT Mathematics Chapter 10 Important MCQ's

Sr.# Question Answer
1 For≥ -2 , 1+3+5+......+(2n+5)
A. (n+2)2
B. (n-2)2
C. 2n+1
D. (n+3)2
2 The proposition S(n) for any n∈ N is only true if k∈ N and
A. S(k +1) is true
B. S(1) is true and S(k+1) is true whenever S (k) is true
C. S(k+1) is true whenever S (k) is true
D. S(k) is true
3 The no of term is the expansion of (a+x)n-1 is
A. n+1
B. n-1
C. n
D. n-2
4 The fifteenth term of (3-a)15 is
A. -17a12
B. -945a13
C. -941a13
D. -515a12
5 If the 4th term in the expansion of (px + x-1)mis 2.5 for all x∈ R, then
6 1+3x+6x2 +10x3 +....=
A. (1+x)-3
B. (1-x)-2
C. (1-x)-3
D. (1+x)-2
7 The exponent of x in 10th term in the expansion of (a+x)n
A. 10
B. 12
C. 11
D. 9
8 n(n-1)(2n-1), for all natural numbers n, is divisible by
A. 12
B. 6
C. 2
D. 18
9 For all positive integral value of n,3n< n! , when
A. n> 6
B. n< 6
C. n<11
D. n>11
10 If n is any positive integer then 4n>3n+ 4 is true for all

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