What is the meaning of the phrase-out of the question?

Answer 1

Very interesting 'question', since we have to trace the 'question' of exactly what 'question' is;

First English use of 'question' near 1300, from Anglo-French questiun, Old French question "legal inquest," from Latin quæstionem (nomnative quæstio) "a seeking, inquiry," from root of quærere (past participle quæsitus) "ask, seek".

Clearly originating from a legal process, the 'quest' was a seeking for that which both parties in the dispute were unable to do together. Human nature being what it is, the party with the poorer case could be counted on to drag in the immaterial, that which was literally 'out(side) of the question'

"Out of the question" means it will never happen.

Answer 2

The phrase "out of the question" means that something is not possible or not considered as an option or solution.