Question # 1

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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

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

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

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

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7

6

3

0

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

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295

495

395

722

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

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16

30

8

32

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2

7

8

12

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Even

Odd

Prime

None of these

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

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

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12

6

2

18

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

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10

11

9

12

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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

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

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

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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If n is any positive integer then n! > n²for

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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

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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

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ab=-1

ab = 1

ab = 2

None

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

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4

5

2

3

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

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

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120

1512

1250

15120

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