A key fitting a lock is a clue, not a command. In a deduction, must presents a conclusion the speaker feels confident about. Might/may/could keep an explanation open; can't rejects it as incompatible with what the speaker knows.
The idea
Use a modal followed by the base verb: must be, might belong, can't know. For an activity possibly in progress, use modal + be + -ing: must be working. State the clue separately so the reader can follow the reasoning.
Examples
- This must be the right door; our key fits the lock.
- The studio might be empty; all the lights are off.
- That can't be our bus; our bus is blue.
- Lea must be working upstairs; I can hear her keyboard.
- The delivery may be at reception.
- This bicycle can't belong to Ben; he has never owned one.
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Watch out
Deductive must does not order anyone to act. Can't here is a negative conclusion, not inability or a ban. Mustn't commonly expresses prohibition, so it is not an automatic substitute. Confidence is the speaker's judgement, not a guarantee that the conclusion is true.
Try it yourself
Choose the correct form. This must ___ the right door. (be / is)
Show answer or example answer
be
Modal must takes base-form be, not is.
Choose the correct form. Lea must be ___ upstairs. (working / work)
Show answer or example answer
working
An activity inferred to be in progress uses must be working, with -ing.
Express a possibility you are not sure about. The delivery ___ be at reception. (might / must)
Show answer or example answer
might
Might leaves the explanation uncertain. Must would express a confident conclusion, contrary to the instruction.
Practice round
Answer questions and rebuild English sentences to practise. Your score is shown.
Choose the correct form. This must ___ the right door. (be / is)
Choose the correct form. Lea must be ___ upstairs. (working / work)
Express a possibility you are not sure about. The delivery ___ be at reception. (might / must)
Tap the words in the right order.
Tap the words in the right order.
Keep your progress
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Describe three clues in a room. Make one confident conclusion with must, one uncertain explanation with might and one rejected explanation with can't. Identify an alternative that could change your judgement.

