State whether the statement given is true (T) or false (F):
If N `div` 5 leaves remainder 3 and N `div`2 leaves remainder 0, then N `div` 10 leaves remainder 4.

State whether the statement given is true (T) or false (F): Number 7N + 1 will leave remainder 1 when divided by 7.

State whether the statement given is true (T) or false (F): Number of the form 3N + 2 will leave remainder 2 when divided by 3

The remainder when 2^(100)div7 is

Find the least number which when divided by 12, leaves a remainder 7, when divided by 15, leaves a remainder 10 and when divided by 16, leaves a remainder 11

2^(60) when divided by 7 leaves the remainder

Suppose that the division x div 5 leaves a remainder 4 and the division x div 2 leaves a remainder 1. Find the ones digit of x.

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.