ECAT Pre Engineering MCQ Test With Answer for Chapter 10 Mathematics

MCQ's Test For ECAT Mathematics Chapter 10 Mathematical Inductions

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

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ECAT Mathematics Chapter 10 Mathematical Inductions

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Question # 1

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

Question # 2

The sum of coefficients in the binomial expansion equals to

Question # 3

The middle term(s) of (a+x)11 is

Question # 4

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

Question # 5

The middle term of (x-y)8is

Question # 6

(0.90)1/2is equal to

Question # 7

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

Question # 8

If the expansion of (1 + x)20, then co-efficient of rth ad (r + 4)th term are equal, then r is

Question # 9

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

Question # 10

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

Question # 11

If n∈Z+ then(a+x)n is a/an

Question # 12

The sum of co-efficient in (1+x-3x2)4163is

Question # 13

The expansion (1 + x)-3holds when

Question # 14

If n is any positive integer then n! > n2for

Question # 15

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

Question # 16

n! > 2n-1 is true when

Question # 17

The sum of first n even number is

Question # 18

(51)4is equal to

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

Question # 23

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

Question # 24

For all positive integral value of n,3n< n! , when

Question # 25

The number of terms in the expansion of (a + x)12is

Question # 26

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

Question # 27

(1 + 2x)4= ______

Question # 28

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

Question # 29

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

Question # 30

The greatest integer which divides the number 101100- 1 is

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ECAT Mathematics Chapter 10 Important MCQ's

Sr.# Question Answer
1 If in the expansion of (1+x)n, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=
A. 4
B. 5
C. 6
D. 7
2
Question Image
A. 3/8
B. 7/8
C. 1/8
D. None
3 nC2= exists when n is ______
4
Question Image
5 The fifteenth term of (3-a)15 is
A. -17a12
B. -945a13
C. -941a13
D. -515a12
6 If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to
A. 1
B. 4
C. 2
D. 8
7 The middle term of [1/x-x]10 is
A. -152
B. -252
C. 371
D. -421
8 If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
A. Real numbers n
B. Integers n
C. Positive integers n
D. None of these
9 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
10 The first three terms in the expansion of (1 - x)-1are
A. 1 + x + x2
B. 1 - x - x2
C. -1 -x +x2
D. 1 - x + x2

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