Question # 1

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

Choose an answer

1

4

2

8

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

Choose an answer

4

5

2

3

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

Choose an answer

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

Choose an answer

n(2n - 1)

(2n - 1)

n - 1

n

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

Choose an answer

1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

Choose an answer

1594

792

924

2924

The coefficient of xn in the expansion of (1-2x)-1 is

Choose an answer

(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

Choose an answer

24

25

9

13

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

Choose an answer

14

12

8

4

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

Choose an answer

32

31

64

1024

Choose an answer

3/8

7/8

1/8

None

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

Choose an answer

| x | < 1

| x | < 3

| x | < 1/3

None of these

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

Choose an answer

6

3

4

8

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

Choose an answer

2nd

3rd

4th

5th

Choose an answer

The sum of coefficients in the binomial expansion equals to

Choose an answer

2

2ⁿ⁺¹

2^n-1

2ⁿ

There are two middle terms in the expansion of (a+x)n if n is

Choose an answer

Even +ve integer

+ve integer

Odd +ve integer

All

n(n-1)(2n-1), for all natural numbers n, is divisible by

Choose an answer

12

6

2

18

The general term in the expansion of (a+x)n is

Choose an answer

(r-1)th term

(r+1)th term

rth term

none

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

Choose an answer

7th

8th

9th

6th

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

Choose an answer

10

12

11

9

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

Choose an answer

n+1

n-1

n

n-2

(0.90)^1/2is equal to

Choose an answer

0.99

0.90

0.80

0.88

Choose an answer

2

7

8

12

Choose an answer

¹⁰C₆

¹⁰C₅

¹⁰C₄

None

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

Choose an answer

71

-22

27

28

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

Choose an answer

The coefficient of xn in the expansion of (1-x)-1 is

Choose an answer

(-1)n2n

1

(-1)n(n+1)

(n+1)

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

Choose an answer

1594

792

924

2924

The sum of even coefficient in the binomial expansion is

Choose an answer

2ⁿ⁺¹

2ⁿ

2^n-1

2n

The middle term of (x-y)⁸is

Choose an answer

25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

More Classes

Other Links

ECAT Mathematics Chapter 10 Mathematical Inductions Online Test MCQs With Answers

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer