Question # 1

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2

7

8

12

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

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

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71

-22

27

28

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

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n(2n - 1)

(2n - 1)

n - 1

n

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

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an even

an odd

multiple of 3

Irrational

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

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

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

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2

3

4

5

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

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

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

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295

495

395

722

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

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4th

4th and 5th

5th

6th

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

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13

12

11

10

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

The term involving x4 the expansion (3-2x)7 is

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217 x4

15120x4

313x4

-25x4

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

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0

1

-1

None

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

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n - 1

n + 1

n + 2

n + 3

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

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In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

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12

n=14

17

n=15

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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

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1

9

3

5

(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

The expansion of (1 - 3x)^-1is valid if

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| x | < 1

| x | < 3

| x | < 1/3

None of these

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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 fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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

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10

12

11

9

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

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32

16

8

5

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 coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

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

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ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction Online Test MCQs With Answers

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