God is not a contradiction

Are there any questions a person can ask that God can not answer?
It's an interesting question I've heard time and time again, but what do you think?

That's a hard concept to grasp. God is perfect.
100% Right
100% Good
100% Truth
100% All-knowing
100% GOD.

So if God knows all and sees all, does he always have an answer? Well, I don't know for sure about all of the serious questions, but I have to say "YES" to that one.
But what about the more illogical questions?
-Is yellow square or round?
-How many hours are in a mile?
The Bible says in Hebrews 6:18, "...it is impossible for God to lie."
I guess that could say something about the illogical questions. If we asked God if yellow was square or round, perhaps He couldn't answer that one ((of course, we could go by yellow light, which may allow for a logical geometric answer, but for the sake of argument, we are talking strictly the shape of a color)). As we all know, God is 100% truth. If there is no possible way for Him to answer this question truthfully, without defying all logic which HE has given to us, then maybe--just maybe--there do happen to be some questions He "can not" answer because He will not make, nor will He ever be, a contradiction.

Now, that was just a silly little thought I shared with you, but in all seriousness, God knows all. So bring your questions of faith, doubt, etc. to Him. I bet He does have an answer for you. :)