A moral question is a question that has to do with the principles of right and wrong or gooness and badness of human behavior.
An example of a moral question might be:
Should I lie to my mother so that my brother can elope with his girlfriend?
A lie is considered bad behavior. But loyalty to one's brother is also considered good behavior. This is a moral dilemma that the asker must deal with. This is a complex question since it deals with more than one problem. In fact, it might be dealing with 4 seperate moral questions. A lie, loyalty to one's mother, loyalty to one's brother and whether or not eloping is a good idea. The asker has to deal with all of this on a moral level and weigh the good and bad of everything.
Moral situations are tricky because they are often subjective. Perhaps the mother is not a kind person and is purposefully trying to stop the marriage out of selfish reasons. Then again, maybe the eloping brother is selfish and doesn't know what he is getting into and is in fact marrying a woman who wants to take advantage of him. Few things are as simple as the question itself.
A simple moral question might be something like:
Is it good to kill during war?
Again, this is a subjective question. Your country would say it is a good thing. Your enemy might have a different opinion of course. Pacifists would argue that killing is never good. Some people say that killing for a good cause is the only time that it is acceptable.
Moral questions are never easy to answer. This is because the definition of good and bad and right and wrong are so hard to understand. These definitions can change so quickly depending upon perspective. That is why if you are ever faced with a moral question or dilemma, then I suggest you think long and hard if given the time and get as much information as you can. But in the end you must make up your own mind.