If n leaves a remainder 1 when divided by 2 then `n^(3)` leaves a remainder of _____________when divided by 2

What is the sum of positive integers less than 100 which leave a remainder 1 when divided by 3 and leave a remainder 2 when divided by 4 ?

A polynomial P(x) when divided by (x-1) leaves a remainder of 3 when divided by (x-3) leaves a remainder of 7 and when divided by (x^(2)-4x+3) leaves a remainder f(x) .Which of the following is (are) not true? (A) f(3) = 1

6^(n)-5 n when divided by 25 leaves the remainder

Find the least number which when divided by 15, leaves a remainder of 5, when divided by 25, leaves a remainder of 15 and when divided by 35 leaves a remainder of 25.

A number when divided by 10 leaves a remiander 9, when divided by 9 leaves a remainder 8, when divided by 8 leaves a remainder 7 ............ When divided by 2 leaves a remainder 1. Determine the number.

The least number which when divided by 35 leaves a remainder 25, when divided by 45 leaves the remainder 35 and when divided by 55 leaves 45 is