Inspector arrested three persons- Kalia, Raza, Shera - on suspicion, in a theft case. It was found the one among these three was the thief. During the interrogation their replies were as follows.
Kalia: I am not the thief. Raza is the thief.
Raza: I am not the thief. Either Kalia or Sh era is the thief.
Shera: I am not the thief. Raza is not the thief.
If exactly one person among them always speaks the truth, another always speaks lies and the third alternates
between the truth and lies, then who is the thief?
Solution
Case 1 : If Kalia speaks truth
=> Raza is the thief, which means Raza's first statement is a lie.
Case 1(a) : Raza speaks lie and truth alternatively.
=> Second statement cannot be true.
Case 1(b) : Raza always lies.
=> Raza is a thief, and the other ones are not.
This can only mean Shera speaks truth and lie alternatively, which positively concludes above statements.
$$\therefore$$ Raza is the thief.
=> Ans - (C)
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