Question # 1

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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8

9

10

11

If n is any positive integer then n! > n²for

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for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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

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4

5

2

3

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

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n + 1

n - 1

n

2n

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

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

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

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S(n)

S(k)

S(1)

S(k-1)

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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

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7

8

9

10

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

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

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

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Even

Odd

Prime

None of these

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

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

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14

12

8

4

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

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

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1594

792

924

2924

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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

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32

16

8

5

The sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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

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n - 1

n + 1

n + 2

n + 3

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction Online Test MCQs With Answers

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