question, ask, problem
問 centers on seeking information or resolution: asking a question, inquiring, or addressing a problem that needs an answer.
question (e.g. on a test); problem
question; inquiry; enquiry
doubt; question; suspicion; dubiousness
to ask; to inquire
call; visit
inquiry; query; enquiry
counter for questions
adviser; advisor; consultant; counselor
torture
study; scholarship; learning; education; knowledge
question; query
questioning; interrogation; examination (of a witness)
questions and answers; dialogue
wholesale store; wholesale dealer; wholesaler
not asking (about); letting go unquestioned; disregarding; ignoring; overlooking
consultation; question; enquiry; inquiry
perplexity; difficult question; difficult problem
posing a question
trial; hearing; inquiry; examination; interrogation
inspection; examination; check
summons
question mark
to enquire; to inquire; to seek information
asking oneself
問 combines 門 (gate) and 口 (mouth), suggesting asking or questioning at a gate. The gate may also contribute a phonetic element.
Picture a mouth 口 at the gate 門 asking a question before entry. The gatekeeper must answer the problem before letting you through.
For モン, imagine a monk at the gate asking a deep question: monk -> モン, and the mouth inside the gate seeks wisdom.