If the fourth term in the expansion (ax + 1/x)ⁿ is 5/2, then the value of x is

In the expansion of (a + b)ⁿ, if n is even then the middle term is

The number 111111 ………….. 1 (91 times) is,

Not an odd number

None of these

Not a prime

An even number

The number of terms in the expansion (2x + 3y – 4z)ⁿ is,

n + 1

n + 3

{(n + 1) × (n + 2)}/2

None of these

The coefficient of y in the expansion of (y² + c/y)5 is,

10c

10c²

10c³

None of these

10000 is _____ 1000,

Greater than

Less than

Equal to

None of these

The fourth term in the expansion (x – 2y)12 is,

-1670 x9 × y³

-7160 x9 × y³

-1760 x9 × y³

-1607 x9 × y³

If n is a positive integer, then (√3+1)2n+1 + (√3−1)2n+1 is

An even positive integer

A rational number

An odd positive integer

An irrational number

If the third term in the binomial expansion of (1 + x)m is (-1/8)x² then, the rational value of m is

2

1/2

3

4