How many integers exist which leave a remainder of 2 when divided by 3 ?

The set of all positive integers which leave remainder 5 when divided by 7 are ……….

Find the middle term of sequence formed by all three digit numbers which leave a remainder 3 when divided by 4. Also find sum of all numbers on both sides of the middle term.

The sum of all two digit natural numbers which leave a remainder 5 when they are divided by 7 is equal to

Prove that the square of any integer leaves the remainder either 0 or 1 when divided by 4.

The remainder when 5^(99) is divided by 13 is

The remainder when 38^(15) is divided by 13 is

The remainder when 38^(15) is divided by 13 is

How many triangles exist , whose area is zero ?

The remainder when 52^(40) is divided by 17 is