Question # 1

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

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16

30

8

32

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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

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32

16

8

5

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 term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

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

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n²

2^n-2

2^n-1

2ⁿ

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

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n - 1

n + 1

n + 2

n + 3

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

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3/8

7/8

1/8

None

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

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

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14

12

8

4

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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8

9

10

11

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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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

ⁿC₂= exists when n is ______

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

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10

12

11

9

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

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n+1

n-1

n

n-2

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

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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

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6th term

6thor 7th

7th term

6thand7th

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

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The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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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

(2.02)4 s equal to

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16

16.6496

17

18

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

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13

12

11

10

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

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7

6

3

0

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