Question # 1

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

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

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

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295

495

395

722

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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

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14

12

8

4

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

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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28 / 81

28 / 243

81 / 28

243 / 82

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

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1700

17023

17027

17010

The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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

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| x | < 1

| x | < 3

| x | < 1/3

None of these

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

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8

9

10

11

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

If n is any positive integer then n! > n²for

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The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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

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4

5

2

3

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

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

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120

1512

1250

15120

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

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ⁿC₂= exists when n is ______

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There is no integer n for which 3n is

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Even

Prime

Odd

Real

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2

7

8

12

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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a + x is ______

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A trinomial

A binomial

A monomial

None of these

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