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

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

Question # 2

The positive integer just greater than (1+0.0001)10000is

Question # 3

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

Question # 4

The first three terms in the expansion of (1 - x)-2are

Question # 5

The middle term of the expansion (1 + 2x)6is ______

Question # 6

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

Question # 7

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

Question # 8

nC2= exists when n is ______

Question # 9

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

Question # 10

(1 - x)3= ______

Question # 11

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

Question # 12

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

Question # 13

(1 + 2x)4= ______

Question # 14

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

Question # 15

The middle term of (x-y)8is

Question # 16

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

Question # 17

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

Question # 18

The proposition S(k+1) is true when ______ is true∀K∈N

Question # 19

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

Question # 20

When we expand (a + 2b)5then

Question # 21

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

Question # 22

The sum of the coefficient in the expansion of (a + x)5is

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

(51)4is equal to

Question # 27

for n€ N, 32n + 7 is divisible by

Question # 28

The sum of even coefficient in the binomial expansion is

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 10 Important MCQ's

Sr.# Question Answer
1
Question Image
A. 3/8
B. 7/8
C. 1/8
D. None
2 In the expansion of (a + x)nthe general term Tr + 1is
3 The seventh term of (x3+1/x)8is
A. 71
B. -22
C. 27
D. 28
4 (0.90)1/2is equal to
A. 0.99
B. 0.90
C. 0.80
D. 0.88
5 Digit in the unit place of the number 183! + 3183
A. 7
B. 6
C. 3
D. 0
6 The sum of coefficients in the binomial expansion equals to
A. 2
B. 2n+1
C. 2n-1
D. 2n
7 The sum even binomial coefficient of (3+2x)5 is ______term
A. 16
B. 30
C. 8
D. 32
8 There is no integer n for which 3n is
A. Odd
B. even
C. Natural
D. Prime
9 If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
10 The expansion of (1 - 3x)-1is valid if
A. | x | < 1
B. | x | < 3
C. | x | < 1/3
D. None of these

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