There are two type of test types, Smoke and Sanity.  What they are exactly? Here we go.....

The general definition (related to Hardware) of Smoke Testing is:
Smoke testing is a safe harmless procedure of blowing smoke into parts of the sewer and drain lines to detect sources of unwanted leaks   and sources of sewer odors.

It it is related to s/w, the definition is
Smoke testing is non-exhaustive software testing, ascertaining that the most crucial functions of a program work, but not bothering with finer details.

Sanity testing is a cursory testing; it is performed whenever a cursory testing is sufficient to prove the application is functioning according to specifications. This level of testing is a subset of regression testing. It normally includes a set of core tests of basic GUI functionality to demonstrate connectivity to the database, application servers, printers, etc.