Question # 1

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3/8

7/8

1/8

None

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

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an even

an odd

multiple of 3

Irrational

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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

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4

5

2

3

The term involving x4 the expansion (3-2x)7 is

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217 x4

15120x4

313x4

-25x4

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

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

ⁿC₂= exists when n is ______

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

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

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4th

4th and 5th

5th

6th

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

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

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2

3

4

5

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

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n - 1

n + 1

n + 2

n + 3

(51)⁴is equal to

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7065201

8065201

6765201

6565201

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

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12

n=14

17

n=15

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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2

7

8

12

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

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n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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

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

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12

6

2

18

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

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0

1

-1

None

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

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16

30

8

32

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

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295

495

395

722

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

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The sum of first n even number is

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n2

n(n+1)

n+1

n+2

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

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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

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Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

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

There is no integer n for which 3n is

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Even

Prime

Odd

Real

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

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The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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