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

Question # 2

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

Question # 3

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

Question # 4

The 5th term of (3a-2b) -1 is

Question # 5

a + x is ______

Question # 6

The expansion of (1 - 3x)-1is valid if

Question # 7

The sum of the cubes of three consecutive natural number is divisible by

Question # 8

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

Question # 9

(1 - x)3= ______

Question # 10

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

Question # 11

If the sum of even coefficients in the expansion of (1+x)n is 128 then

Question # 12

The proposition S(n) for any n∈ N is only true if k∈ N and

Question # 13

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

Question # 14

In the expansion of (a + x)nthe sum of exponents of a and x in each term of the expansion is

Question # 15

Number of terms in the expansion of (a+x)nis

Question # 16

The middle term in the expansion of (a +x)12is

Question # 17

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

Question # 18

If (1+x-2x3)6= 1+a1x + a2x2+ a3x3+ ..... the the value of a2+ a4+ a6+ .....+a12will be

Question # 19

In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

Question # 20

If the exponent in the binomial expansion is 6, then the middle term is

Question # 21

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

Question # 22

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

Question # 23

(0.90)1/2is equal to

Question # 24

There are two middle terms in the expansion of (a+x)n if n is

Question # 25

If the exponent in the binomial expansion is 6, then the middle term is

Question # 26

The middle term of [1/x-x]10 is

Question # 27

The term involving x4in the expansion of (3 - 2x)7is

Question # 28

(x3-1/x)12

Question # 29

n2 - 1 divisible by 8 when n is

Question # 30

If n is not natural number, then the expansion (1 + x)nis valid for

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ECAT Mathematics Chapter 10 Important MCQ's

Sr.# Question Answer
1 The no of term is the expansion of (a+x)n-1 is
A. n+1
B. n-1
C. n
D. n-2
2 If the exponent in the binomial expansion is 6, then the middle term is
A. 2nd term
B. 3rd term
C. 4th term
D. 5th term
3 The first three terms in the expansion of (1 - x)-2are
A. 1 - 2x + 3x2
B. 1 - 2x - 3x2
C. 1 + 2x + 3x2
D. -2 - 2x +3x2
4 The middle term of (x-y)8is
A. 25 x4y4
B. 70 x4y4
C. 120 x4y4
D. 97x4y4
5 The sum of coefficients in the binomial expansion equals to
A. 2
B. 2n+1
C. 2n-1
D. 2n
6 The proposition S(k+1) is true when ______ is true∀K∈N
A. S(n)
B. S(k)
C. S(1)
D. S(k-1)
7 The sum of co-efficient in (1+x-3x2)4163is
A. 0
B. 1
C. -1
D. None
8 The first three terms in the expansion of (1 - x)-3are
A. 1 + 3x + 6x2
B. 1 - 3x + 6x2
C. -3 - 3x - 6x2
D. 1 - 3x - 6x2
9
Question Image
A. ab=-1
B. ab = 1
C. ab = 2
D. None
10 If the expansion of (1 + x)20, then co-efficient of rth ad (r + 4)th term are equal, then r is
A. 7
B. 8
C. 9
D. 10

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