Alphametics- The Art of Numbers

As CAT 2008 preparation starts heating up, I am going to flag the race with an oddball topic: Alphametics. What are alphametics or cryptarithms as they are also known? Alphametics are number puzzles in basic arithmetic operations where digits are represented by alphabets. It is customary that different digits are represented by different alphabets. Why are alphametics relevant? Because they require a good knowledge of properties of numbers and skill in working with them. Solving alphametics helps you quickly identify solution to many problems which might otherwise require a good amount of time. Let me give an example:



Can you solve this problem without any hit or trial method?