For the last month or two, I'd hear my alam going off faintly when the car was running, adn the battery seemed weak starting up. I attributed it to the fact that around the same time, my battery was completely drained after leaving it at the airport for the weekend with the lights on.
I got fed up with it yesterday and started poking around and found that the ground cable that is attached to the engine block was just hanging free. So I reattached it, and now the car jumps to life, no more alarm problems, and I've also noticed the car seems to run a bit smoother....

Just a tip to check if you see stange things happening to yours.....