Tutorials

In an analog clock the minutes hand moves faster than the hour hand and crosses it 22 times in a day, both going round and round over the clock face. In a typical clock problem, we are asked to find the angle between the two clock hands at a specific time...

For most needs of finding square root, if we remember by heart squares and cubes of a few common integers, using quick factorization we can figure out the square roots or cube roots of numbers be it integer or decimal. But occasionally, in a few specific types of arithmetic problems, there is no other option than to actually evaluate the square root of a number following a method specifically tailored for the purpose...

Occasionally the distinctive expression and its inseparable companion fraction of two componendo dividendo variables, both exist in given and target expressions, but in hidden form. With a closer look and component expression substitution, once possibility of using componendo dividendo is revealed, the problem can be solved in mind quickly, faster than any other method. These form another important class of hidden componendo dividendo problems that need uncovering...

When the problem appears in a form exactly suitable for applying the method, problem solving is trivial and very easy. The real challenge lies in problems where, there is some pattern similar to Componendo dividendo in the problem, but only partially, so at first glance we don't consider Componendo dividendo as the suitable approach...