Question # 1

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

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32

16

8

5

(2.02)4 s equal to

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16

16.6496

17

18

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

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10

12

11

9

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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

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16

30

8

32

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

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10

11

9

12

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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

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1700

17023

17027

17010

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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ab=-1

ab = 1

ab = 2

None

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

ⁿC₂= exists when n is ______

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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

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

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217x⁴

15120x⁴

313x⁴

-25x⁴

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

If n is any positive integer then n²> n + 3 for

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

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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405 / 256

504 / 259

450 / 263

None

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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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

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

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7

6

3

0

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3/8

7/8

1/8

None

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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

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

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6

3

4

8

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

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4

5

2

3

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