Question # 1

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

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

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1700

17023

17027

17010

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

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4

5

2

3

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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

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

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4th

4th and 5th

5th

6th

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

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0

1

-1

None

If n is add the expansion (a + x)ⁿhas middle terms

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2

3

4

5

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405 / 256

504 / 259

450 / 263

None

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

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7

6

3

0

(51)⁴is equal to

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7065201

8065201

6765201

6565201

The term independent of x is the expansion (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)

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

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If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

The seventh term of (x3+1/x)8is

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71

-22

27

28

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 a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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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 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

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

a + x is ______

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A trinomial

A binomial

A monomial

None of these

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

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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