Can you run a 100 metre race?

Correct option is C

In changing a question to passive, the modal ("can") remains first: "Can + object + be + past participle + by + subject?"
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Information Booster

Questions in passive voice:
Active: Can + subject + base verb + object?
Passive: Can + object + be + past participle + by + subject?
Focus shifts to whether the action can be done to the object.

Additional Knowledge

Option 1 is not a question at all.

Option 2 lacks the agent (by you) and is incomplete.

Option 4 is not in question form; word order is incorrect for interrogation.