Santosh,
Its not a compulsion that you need to create a war for running the servlets and jsps on Tomcat. you can just put the class files as they are and can get them running .
First you need to create your servlets then had to update the WEB-INF/web.xml with the servlet entries.
In this WEB-INF folder only create a 'lib and classes inside lib' folder and add your classes to it.
You should be able to access them.No need to go for war file,you can use war file , once you gain some expertise
Raj