10. When a number is divided by 219, 64 is left as remainder. If same number is divided by 39, what will be the remainder?

The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems. On September ...

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...

10. Each family in Model town has almost two adults and the total number of boys in locality is less than the number of girls. Similarly the number of girls is less than the number of adults in the ...