Said was driving towards North. He saw three men are standing together at one place. So he thought it may be a bus station. Said approached them and greeted them. They are Asad, Basim and Fahad. He asked them whether the road goes to the capital and whether the location was indeed a bus stop. Said got three replies. Asad said, “The road goes to the souq, and the bus station is not here” Basim said, “ The road does not go to the souq, and the bus station is here” Fahad said, “ The road does not go to the souq, and the bus station is not here”. Said got confused and not able to understand anything. Again Said asked them whether they are speaking truth or lie. To this all of them answered, “ Two of us are saying truth and one is false”. How many of these three peoples are speaking truth always and how many of them are always never speak truth. Does the road go to the souq or not? The place where said met these three peoples is bus station ?
Said was driving towards North. He saw three men are standing together at one place. So he thought it may be
a bus station. Said approached them and greeted them. They are Asad, Basim and Fahad. He asked them
whether the road goes to the capital and whether the location was indeed a bus stop. Said got three replies.
Asad said, “The road goes to the souq, and the bus station is not here”
Basim said, “ The road does not go to the souq, and the bus station is here”
Fahad said, “ The road does not go to the souq, and the bus station is not here”.
Said got confused and not able to understand anything. Again Said asked them whether they are speaking truth
or lie. To this all of them answered, “ Two of us are saying truth and one is false”.
How many of these three peoples are speaking truth always and how many of them are always never speak
truth. Does the road go to the souq or not? The place where said met these three peoples is bus station ?
Said was driving towards North. He saw three men are standing together in one place. So he thought it may be a bus station. Said approached them and greeted them. They are Asad, Basim, and Fahad.
He asked them whether the road goes to the capital and whether the location was indeed a bus stop.
So, let us take the statement,
P: the road goes to the capital or souq.
Q: the location was indeed a bus stop.
Asad said, “The road goes to the souq, and the bus station is not here” that is "P ∧¬Q".
Basim said, “ The road does not go to the souq, and the bus station is here” that is "¬P ∧ Q".
Fahad said, “ The road does not go to the capital, and the bus station is not here” that is "¬P ∧ ¬Q".
Now, Draw the truth table as follows.
Said got confused and not able to understand anything. Again Said asked them whether they are speaking truth or lie. To this, all of them answered, “ Two of us are saying the truth and one is false”. Which means one of them is saying partially true.
Then, by the above truth table, only the following cases are possible.
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