The remainder left out when 82n – (62)2n+1 is divided by 9 is
Sum of the last 30 coefficients in the expansion of (1 + x)59 when expanded in ascending powers of x is
then k is equal to:
is maximum when m is
If ω ≠ 1 is a cube root of unity and (ω + x)n = 1 + 12ω + 69ω +…. Then values of n and x are respectively.
If ω ≠ 1, is nth root of unity, and then value of x is
The remainder when (24 times 5) is divided by 24 is
If in the expansion of (a – 2b)n. the sum of 4th and 5th term is 0, then value of is