on dividing 523abc by 504 you will see that ..only 4536 and 4032 can be the only numbers possible..so doing little maths ..you will be get abc as 656 or 152..

There are 6 points on a circle. Each point can be identified without relating it to any other points. Five events occur at 5 of these points,one after the other and each one at a different point. In how many ways can they occur such that no two successive events occur at adjacent points?

A natural number N, when divided by D, leaves a remainder of 17. When 3N is divided by D if the remainder is 7, what is the remainder when 8N is divided by D?

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:
There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go ...