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.?

Question

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.?

c
b
d
a

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : 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.