## Remainder, you are awesome (2) ....

Today I happened to have an encounter with the same type of question that I had had in my blog. The present blog is the extension of...

## Remainder, you are awesome ....

Remainders are wonderful and you can do wonders with remainders in solving some otherwise looking dreadful questions of Real Numbers. See...

## Find the remainder when a natural number n satisfying following conditions is divided by 5:

The conditions are: What remainder does n give when divided by 5? First congruence relation gives, n = 2 or 3. Second congruence relation...

## A problem offering a solution

Question: If a, a + 2 and a + 4 are prime numbers, what are the number of possible solutions for a? (1) one (2) two (3) three (4) more...

## An easier way to find out the unit digit of a number indexed with a positive integer using Modular A

In many of competitive exams, you are asked to find out unit digit in some n^p where n and p are positive integers. Sometimes it is a...

## Algebra of Congruent Modulo n

For any integers a, b, c, d and positive integer n a â‰¡ a (mod n) If a â‰¡ b (mod n), then b â‰¡ a (mod n). If a â‰¡ b (mod n) and b â‰¡ c (mod...