Question # 1

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

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n - 1

n + 1

n + 2

n + 3

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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

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0

1

-1

None

If n is any positive integer then n! > n²for

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(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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2nd

3rd

4th

5th

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

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(x3-1/x)12

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295

495

395

722

ⁿC₂= exists when n is ______

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

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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 fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

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Even

Odd

Prime

None of these

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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4

5

2

3

There is no integer n for which 3n is

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Even

Prime

Odd

Real

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

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n=7

n=9

n=8

None

The last term of (1+2x)-2

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(-1)-2 (2x)-2

(-1)-4(-2x)-2

(-1)-3(2x)-3

Does not exist

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

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(-1)n2n

1

(-1)n(n+1)

(n+1)

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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Even +ve integer

+ve integer

Odd +ve integer

All

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

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Mathematics ECAT Pre Engineering Chapter 10 Mathematical Inductions Online Test MCQs With Answers

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