This week's giveaway is in the EJB and other Java EE Technologies forum. We're giving away four copies of EJB 3 in Action and have Debu Panda, Reza Rahman, Ryan Cuprak, and Michael Remijan on-line! See this thread for details.
And yes, you'll see .equals() on the exam quite a bit, along with ==. Make sure you know them well. The OCA 7 is not to be taken light-heartedly. Consider taking the Enthuware mock exams for 1Z0-803, the cost is only ten bucks for several OCA 7 mock exams.