Question # 1

The 7th term of (3⁸ + 6⁴x)^11/4 is

Choose an answer

-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

When we expand (a + 2b)⁵then

Choose an answer

a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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

Choose an answer

71

-22

27

28

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 first three terms in the expansion of (1 + x)^-2are ______

Choose an answer

1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

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

Choose an answer

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

Choose an answer

If n € N , then n(n+3) is always

Choose an answer

Multiple of 3

Multiple of 6

odd

even

The expansion (1 + x)^-3holds when

Choose an answer

|x| > 1

|x| < 1

x < 1

x > 1

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)

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

Choose an answer

7th

8th

9th

6th

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

Choose an answer

12

n=14

17

n=15

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

Choose an answer

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

Choose an answer

(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

(1 - x)³= ______

Choose an answer

1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

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

Choose an answer

6

3

4

8

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

Choose an answer

4th

4th and 5th

5th

6th

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

Choose an answer

217 x4

15120x4

313x4

-25x4

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

Choose an answer

84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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

Choose an answer

16

30

8

32

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

Choose an answer

ab=-1

ab = 1

ab = 2

None

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

Choose an answer

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

Choose an answer

-228

1/288

1/220

-1/177

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

Choose an answer

n+1

n-1

n

n-2

Choose an answer

405 / 256

504 / 259

450 / 263

None

a + x is ______

Choose an answer

A trinomial

A binomial

A monomial

None of these

In the expansion of (a + x)ⁿthe sum of exponents of a and x in each term of the expansion is

Choose an answer

n + 1

n - 1

n

2n

Choose an answer

The sum of even coefficient in the binomial expansion is

Choose an answer

2ⁿ⁺¹

2ⁿ

2^n-1

2n

(2.02)4 s equal to

Choose an answer

16

16.6496

17

18

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