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...

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...

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...