Question # 1

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

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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

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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

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

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6

3

4

8

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28 / 81

28 / 243

81 / 28

243 / 82

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

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

If n is any positive integer then n! > n²for

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

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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

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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

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16

30

8

32

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

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

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1st term

4th term

2nd term

5th term

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 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

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

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217x⁴

15120x⁴

313x⁴

-25x⁴

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

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The number of terms in the expansion of (a + x)¹²is

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13

12

11

10

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

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The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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

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| x | < 1

| x | < 3

| x | < 1/3

None of these

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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ab=-1

ab = 1

ab = 2

None

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