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In a murder case, police rounded up four suspects and one of those is surely a killer. These four suspects made the following statements: Suspect A said, “I am not the killer”. Suspect B said, “I am the killer”. Suspect C said, “A is the killer”. Suspect D said, “C is lying”. If out of the given four statements, only one statement is correct, then identify who is the real killer?

In a murder case, police rounded up four suspects and one of those is surely a killer. These four suspects made the following statements: Suspect A said, “I am not the killer”. Suspect B said, “I am the killer”. Suspect C said, “A is the killer”. Suspect D said, “C is lying”. If out of the given four statements, only one statement is correct, then identify who is the real killer? Correct Answer A

Given statements: 

Statement 1: Suspect A said, “I am not the killer”.

Statement 2: Suspect B said, “I am the killer”.

Statement 3: Suspect C said, “A is the killer”.

Statement 4: Suspect D said, “C is lying”.

If out of the given four statements, only one statement is correct.

Let statement 1 is correct and all other statements are not correct, then:

Statement 1: Suspect A said, “I am not the killer”. → True

Statement 2: Suspect B said, “I am the killer”. → False

Statement 3: Suspect C said, “A is the killer”. → False

Statement 4: Suspect D said, “C is lying”. → False

Therefore, from the given statement it can be concluded that both statement 3 and 4 are contradictory. According to the statement 3 A is not the killer and according to the statement 4 C is not lying.

Let the statement 2  is correct and all other statements are not correct, then:

Statement 1: Suspect A said, “I am not the killer”. → False

Statement 2: Suspect B said, “I am the killer”. → True

Statement 3: Suspect C said, “A is the killer”. → False

Statement 4: Suspect D said, “C is lying”. → False

Here statement 1 and statement 2 are contraditory as both A and B are the killers.

Let the statement 3  is correct and all other statements are not correct, then:

Statement 1: Suspect A said, “I am not the killer”. → False

Statement 2: Suspect B said, “I am the killer”. → False

Statement 3: Suspect C said, “A is the killer”. → True

Statement 4: Suspect D said, “C is lying”. → False

Here statement 1, 2 and statement 3 verifying that A is the killer.

Let the statement 4  is correct and all other statements are not correct, then:

Statement 1: Suspect A said, “I am not the killer”. → False

Statement 2: Suspect B said, “I am the killer”. → False

Statement 3: Suspect C said, “A is the killer”. → False

Statement 4: Suspect D said, “C is lying”. → True

Here according to the statement 4 C is lying then A is not the killer but statement 1 is false therefore A should be the killer. Both of the statements are contradictory.

Hence, A is the killer is the correct answer.

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