Sanity Testing:It is first level of black box testing.In 
this level Testers are checking the build whether it is
working with out run time errors or not and any
functionality missing or not.Sanity testing is also known as
smoke testing.

Ad-hoc testing:Due to lack of time,  testing is conducting
on important aspects of software is called ad-hoc testing.

Sanity testing is User acceptance testing
To determine whether the build can be testableor not.
Smoke testing is Build verification testing
To check whther the system works fine after the build is 
released without any hanging.
Adhoc testing is random level of testing without using any 
test case document.

Sanity Testing:Is the initial level of testing,done to find 
the basic functionality of the system is working fine and 
well enough to allow for doing the testing of remaining all 
the functionality of the system

Smoke Testing:It focus on testing the major functionality 
of the system we say it as build verification testing.done 
to find major functionality of the is working fine and 
allow the build to move to testing phase for doing testing 
of remaning all the functionality of the system.