Adaptive Design:
It is very time-consuming and takes a lot of effort to build the best possible adaptive design as examining it will need to go for many options with respect to the realities of the end user.
There are six standard screen sizes for the appropriate layouts; they are 320px, 480px, 760px, 960px, 1200px, 1600px to design.
Responsive Design:
It takes less time to build the design and there is no screen size issue irrespective of content.
It uses CSS media queries to design the screen layouts with respect to specific devices and property changes in the screen.