Question # 1

The greatest integer which divides the number 101¹⁰⁰- 1 is

Choose an answer

100

1000

10000

100000

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

Choose an answer

n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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

Choose an answer

1700

17023

17027

17010

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

Choose an answer

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

Choose an answer

an even

an odd

multiple of 3

Irrational

(2.02)4 s equal to

Choose an answer

16

16.6496

17

18

for n€ N, 3^{2n + 7 is divisible by}

Choose an answer

7

8

9

10

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

Choose an answer

10

11

9

12

Choose an answer

ab=-1

ab = 1

ab = 2

None

There is no integer n for which 3n is

Choose an answer

Even

Prime

Odd

Real

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

Choose an answer

4

5

6

7

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

Choose an answer

| x | < 1

| x | < 3

| x | < 1/3

None of these

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

Choose an answer

7

8

9

10

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

Choose an answer

| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

If nis positive integers, then 2ⁿ>2n+1, only when

Choose an answer

n≤ 3

n≥ 3

n≤ 2

n≤ 1

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

Choose an answer

1

9

3

5

For≥ -2 , 1+3+5+......+(2n+5)

Choose an answer

(n+2)²

(n-2)²

2n+1

(n+3)²

There is no integer n for which 3ⁿis

Choose an answer

Odd

even

Natural

Prime

If n is any positive integer ,t hen 2+4+6+......+2 n=

Choose an answer

2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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

Choose an answer

6

3

4

8

If n∈Z+ then(a+x)n is a/an

Choose an answer

Finite series

Convergent series

Infinite series

Divergent series

If | x | < 1, then the first two terms of (1 - x)^1/2are

Choose an answer

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

Choose an answer

a + x is ______

Choose an answer

A trinomial

A binomial

A monomial

None of these

Choose an answer

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

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

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

Choose an answer

4th

4th and 5th

5th

6th

Choose an answer

28 / 81

28 / 243

81 / 28

243 / 82

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

Choose an answer

The middle term of [1/x-x]¹⁰is

Choose an answer

-152

-252

371

-421

For all positive integral value of n,3ⁿ< n! , when

Choose an answer

n> 6

n< 6

n<11

n>11

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

Choose an answer

295

495

395

722

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

Choose an answer

7th

8th

9th

6th

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

Choose an answer

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

Choose an answer

4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

More Classes

Other Links

ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction 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

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer