Question # 1

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3/8

7/8

1/8

None

The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

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

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For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

There is no integer n for which 3n is

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Even

Prime

Odd

Real

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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

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-2x2

-4x2

2x2

4x2

If n is any positive integer then n! > n²for

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The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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ab=-1

ab = 1

ab = 2

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

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

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There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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

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The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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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405 / 256

504 / 259

450 / 263

None

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

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13

12

11

10

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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6

3

4

8

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

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0

1

-1

None

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

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10

11

9

12

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

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n+1

n-1

n

n-2

In the expansion of (a + x)ⁿthe sum of exponents of a and x in each term of the expansion is

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n + 1

n - 1

n

2n

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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

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n - 1

n + 1

n + 2

n + 3

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

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

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

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

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16

30

8

32

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

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

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