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There are conditions left out of the question: both men know which drawer has the bomb, and they don't care if they get blown up along with the man if he picks the drawer with the bomb.

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The man would ask either of the other two this question:

"If I ask the other guy, what drawer will he tell me has the key?"

No matter which one answers, they are telling him the wrong drawer, and the key is in the other drawer. He just picks the other drawer.

The liar will lie, and tell him the wrong drawer, since he knows that the truth-teller will say the correct drawer.

The truth-teller will also tell him the wrong drawer, because he knows the liar will lie and tell him the wrong one.

(see the related question, which has several versions of this puzzle as related questions)

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Q: A man is locked in a house A desk has two drawers one has a bomb one has a key to leave the house Two men are present One always lies One always tells the truth What one question can he ask to escape?
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