Four friends A, B, C, and D, who are from different families, meet at a party. One of them is the doctor A says, " B is a doctor". B says, "I am a doctor." C says, "D lies." D says, "B lies." If only one of them is laying, then find out who the doctor is.
Four friends A, B, C, and D, who are from different families, meet at a party. One of them is the doctor A says, " B is a doctor". B says, "I am a doctor." C says, "D lies." D says, "B lies." If only one of them is laying, then find out who the doctor is. Correct Answer b
Given Statement,
If Statement 1 is false then
Statement 1 : A says, " B is a doctor". → False
Statement 2 : B says, "I am a doctor." → True
Statement 3 : C says, "D lies." → True
Statement 4 : D says, "B lies." → True
Here 1 and 3 contradict because one is saying B is doctor other is he is not a doctor.
If Statement 2 is false then
Statement 1 : A says, " B is a doctor". → True
Statement 2 : B says, "I am a doctor." → False
Statement 3 : C says, "D lies." → True
Statement 4 : D says, "B lies." → True
Here According to 1, B is Doctor but in 2, B saying he is doctor but it is false. so here contradicting.
If Statement 3 is false then
Statement 1 : A says, " B is a doctor". → True
Statement 2 : B says, "I am a doctor." → True
Statement 3 : C says, "D lies." → False
Statement 4 : D says, "B lies." → True
According to 1, B is doctor and it is true. In 2, B is also saying that he is doctor and it is also true. In 3, C is saying that D lies but here this is False so D is saying true here and according to this in 4, D say B lies and it is true so again contradicting here.
If Statement 4 is false then
Statement 1 : A says, " B is a doctor". → True.
Statement 2 : B says, "I am a doctor." → True
Statement 3 : C says, "D lies." → True
Statement 4 : D says, "B lies." → False
According to 1, B is doctor and it is true. In 2, B is also saying that he is doctor and it is also true. In 3, C is saying that D lies and it is true so D is saying false here and according to this in 4, D says B lies but it is false so here it will be true means that B is saying true. so Here B will be Doctor.
Hence, B is the Doctor.