At a family reunion, I met four distant cousing who are all in the US military. They each came in their dress uniforms, two from the Army, and two from the Navy. When I asked them their names, and where they were stationed, Terry and Tracy told the truth, but Lee and Loren lied. This was especially confusing because all four names could belong to either a man or a woman. Here is what they each said:
- The male sailor is Terry.
- Tracy isn't stationed in Afghanistan.
- The female sailor isn't Terry.
- Loren isn't the person stationed in Texas.
- The male soldier is Lee.
- The female sailor is Loren.
- A sailor is stationed in Hawaii.
- Tracy is stationed in Afghanistan.
Help me figure out who is who, and where they are all stationed (one is in Kuwait).
The male soldier and the female sailor disagree as to where is Tracy stationed, so one is a truth teller and other a liar.
If the male sailor told the truth, both the male soldier and the female sailor would be liars, but this cannot be, so the male sailor is a liar.
The male soldier says that the male sailor is a truth teller, so he also lies; both males lie, and thus both females tell the truth.
Since the male sailor lies, the male soldier isn't Lee, so he is Loren, and the male sailor is thus Lee.
Since the female soldier is truthful, the female sailor isn't Terry; she is Tracy and the female soldier is thus Terry.
A sailor is in Hawaii; since Tracy is in Afghanistan, Lee is in Hawaii. As Loren isn't in Texas, he must be in Kuwait, and Lee is in Texas.