REMEMBER ALWAYS: It is the job of the police to CONVICT people. In general, they don't really care if you're guilty or not. They get atta' boys for putting people behind bars, nothing else. Give them an excuse and they will put you in prison, and get a commendation for doing so. They are not on the hook if they make a mistake or fudge the numbers, so don't expect them to act responsibly. They will pretend to be your friend, they will play the hero, they will mindfuck you, all to get you say something wrong.
The only person that you should ever talk to is your lawyer. It is his job to keep you OUT of jail so that you can pay his bills. Let your lawyer answer all of the questions, I don't care if you weren't even born when it happened, let your lawyer do the talking. A few thousand bucks in lawyers fees is well worth the heartache averted.
There's no such thing as a simple question, especially coming from a cop.