Question # 1

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

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2

7

8

12

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

(51)⁴is equal to

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7065201

8065201

6765201

6565201

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 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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

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-228

1/288

1/220

-1/177

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

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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

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1700

17023

17027

17010

For each even natural number n (n²-1) is divisible by

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6

3

4

8

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

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

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0

1

-1

None

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

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n> 6

n< 6

n<11

n>11

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

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| x | < 1

| x | < 3

| x | < 1/3

None of these

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

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1700

17023

17027

17010

a + x is ______

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A trinomial

A binomial

A monomial

None of these

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

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2

3

4

5

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Imaginary

Rational

Irrational

Real numbers

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

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12

6

2

18

If n is any positive integer then n! > n²for

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405 / 256

504 / 259

450 / 263

None

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

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

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

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10

11

9

12

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

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120

1512

1250

15120

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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28 / 81

28 / 243

81 / 28

243 / 82

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

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-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

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

The seventh term of (x3+1/x)8is

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71

-22

27

28

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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

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