Donald J. Trump is not often criticized for remaining silent, but on Friday, other presidential candidates rebuked him for not correcting an apparent supporter who said Barack Obama was a Muslim who was not born in America.

At a town hall event held on Thursday evening in Rochester, N.H., Mr. Trump took the man's question, which began with the statement: "We have a problem in this country. It's called Muslims."

The audience member continued, "We know our current president is one." And as Mr. Trump responded, perhaps reflexively, "Right," the man added, "You know he's not even an American."

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