Test:Finite Mathematics

1.

Consider the statement

"Andy is a Freemason if and only if neither Benny nor Charlie is a Freemason."

Benny is a Freemason. What do we know about whether Andy and Charlie are Freemasons?

Charlie is not a Freemason; no conclusion can be drawn about Andy.

Andy is a Freemason; no conclusion can be drawn about Charlie.

Andy is not a Freemason; no conclusion can be drawn about Charlie.

No conclusions can be drawn about either Andy or Charlie.

Charlie is a Freemason; no conclusion can be drawn about Andy.

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