A friend of mine and I were joking about questions that are complete nonsense. Here are some examples:

True or false: How tall is the Empire State Building?

Is it further to Pittsburgh or by train?

How tall do you weigh?

I called them nonsensical questions. My friend said he thought there was a more descriptive word for them, but could not remember the word. Is there a word for questions that are complete nonsense? I am dubious of his claim.

Edit: I just suggested the word balderdash, but he said that is not the word he was trying to remember. He says he is thinking of a word that specifically implies a question is nonsense. It would not be used to describe other types of sentences, like statements.