Question # 1

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3/8

7/8

1/8

None

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

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4

5

2

3

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

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10

11

9

12

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)

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

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

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12

6

2

18

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

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ⁿC₂= exists when n is ______

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If n is any positive integer then n! > 2^n-1for

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

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0

1

-1

None

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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

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32

31

64

1024

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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

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Real numbers n

Integers n

Positive integers n

None of these

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

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)

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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(51)⁴is equal to

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7065201

8065201

6765201

6565201

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

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

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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