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 ≡ a (mod n) If a ≡ b (mod n), then b ≡ a (mod n). If a ≡ b (mod n) and b ≡ c (mod...