The remainder, if `1+2+2^2+.......+2^(1999)` is divided by 5 is.

The remainder, if 1+2+2^2+2^3+....+2^1999 in divided by 5 is

The remainder , if 1 + 2 + 2^(2) + 2^(3) + …+ 2^(1999) is divided by 5, is

the remainder obtained 1! + 2! + ......+1200! is divided by 14 is

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by : 5+2x .

If a polynomial is divided by x-2 the remainder is 1 and when it is divided by x-3 the remainder is 2. What will be remainder when the polynomial is divided by x^(2) -5x +6 .

When x^2 + ax + b is divided by (x - 1) , the remainder is 15 and when x^2 + bx + a is divided by (x + 1), the remainder is - 1, then the value of a^2 + b^2 is: