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...


What is Ratio
Consider this example. In a mixture of 35 liters of milk and water, the milk has four parts and water has part. Obviously there are a...
Equivalence Class in Congruent Modulo
Can you the think the set of remainders as a class? See the example. Let a == b mod 2. Every integer is congruent modulo 2 to exactly...


Modular Arithmetic (Congruent Modulo n)
Play with remainders What a superb idea did Gauss have long time ago!!!! If you add two numbers, the remainders obtained after dividing...


A modest thought on CBSE paper of XII Mathematics 2016
I am not a teacher of Mathematics in any school and I don’t teach in any institute either, nor do I have any coaching institute. This has...


What are THEY teaching?
What are THEY teaching? Alas! To my astonishment, in many supplementary books of Mathematics I see the most tedious methods of solving...


Why do I love Mathematics?
Why do I love Mathematics? Doing Mathematics is fun, thrill and excitement. I don’t know why the teachers don’t make themselves belong to...


CLAT प्रश्नपत्र में सफलता के लिये गणित की भूमिका
देश के 15 प्रतिष्ठित लॉ स्कूल्स के लिये प्रतिवर्ष आयोजित होने वाली क्लेट (CLAT – Common Law Admission Test) परीक्षा में 200 मार्क्स...