Only 'perfectly inelastic' stick together.
There are three options:
1. Elastic: momentum and KE conserved - they will tell you this
2. Inelastic: momentum conserved, KE not conserved. still lots of variables.
3. 'perfectly' inelastic: momentum cons, KE not cons. They will say something like 'stick together'. They like using this one b/c the algebra is easier (the final mass is just m1+m2, only 1 final v).
Not sure if they try to 'trick you' into one or the other. I dont' remember ever being unsure of which type of collision