Question # 1

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

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n(2n - 1)

(2n - 1)

n - 1

n

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

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1700

17023

17027

17010

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

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

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n²

2^n-2

2^n-1

2ⁿ

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

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16

30

8

32

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

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

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

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an even

an odd

multiple of 3

Irrational

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

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6

3

4

8

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

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n+1

n-1

n

n-2

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28 / 81

28 / 243

81 / 28

243 / 82

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

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n> 6

n< 6

n<11

n>11

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

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The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

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

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1

9

3

5

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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10

11

9

12

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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3/8

7/8

1/8

None

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

1st four terms of the expansion (1-x)^-2are

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1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

The middle term(s) of (a+x)11 is

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6th term

6thor 7th

7th term

6thand7th

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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

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0

1

-1

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

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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