Question # 1

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

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n+1

n-1

n

n-2

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

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1700

17023

17027

17010

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

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If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

The sum of the coefficient in the expansion of (a + x)⁵is

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32

16

8

5

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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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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

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1st term

4th term

2nd term

5th term

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

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

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14

12

8

4

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

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

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217 x4

15120x4

313x4

-25x4

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

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12

6

2

18

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

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405 / 256

504 / 259

450 / 263

None

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

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

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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2

7

8

12

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

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

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120

1512

1250

15120

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28 / 81

28 / 243

81 / 28

243 / 82

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

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