Find the sum of all 3-digit numbers which leave remainder 2, when divided by 5.

Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

How many three digit numbers leave remainder 2 when divided by 9. Also find their sum.

Find the sum of all the four digit numbers which are divisible by 29.

Find the total number of 9-digit numbers which have all different digits.

Find the sum of all five digit numbers ,that can be formed using the digits 1, 2, 3, 4 and 5 (repetition of digits not allowed)

The polynomials f(x)=x^4-2x^3+3x^2-ax+b when divided by (x-1) and (x+1) leaves remainder 5 and 19 respectively. Find the value of a and b hence, find the remainder when f(x) is divided by (x-2)

Using Binomial theorem, prove that 6^(n)-5n always leaves remainder 1 when divided by 25.

Find the remainder when 27^(40) is divided by 12.

Find the sum of all 2 digits no. which when divided by 9, it leaves a remainder 3?