Question # 1

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

(x3-1/x)12

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295

495

395

722

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 third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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

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

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217 x4

15120x4

313x4

-25x4

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

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

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

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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 n! > n²for

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If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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

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

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n+1

n-1

n

n-2

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

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

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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

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

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13

12

11

10

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28 / 81

28 / 243

81 / 28

243 / 82

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

ⁿC₂= exists when n is ______

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If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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

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1st term

4th term

2nd term

5th term

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

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

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0

1

-1

None

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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 the second term of (a+b)⁴ is

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1

9

3

5

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

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

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