A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian, Judy, David, Theo or Margaret. When questioned by the police, each suspect made three statements: Lillian: I didn\'t take the wallet. I have never in my life stolen anything. Theo did it. Judy: I didn\'t take the wallet. My daddy is rich enough, and I have a wallet of my own. Margaret knows who did it. David: I didn\'t take the wallet. I didn\'t know Margaret before I came into the elevator. Theo did it. Theo: I am not guilty. Margaret did it. Lillian is lying when she says I stole the wallet. Margaret: I didn\'t take the wallet. Judy is guilty. David can vouch for me because he has known me since I was born. Later, each person admitted that two of his/her statements were true and one was false. Assuming this is true, who stole the wallet? (Adapted from Scripta Mathematica.) A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian, Judy, David, Theo or Margaret. When questioned by the police, each suspect made three statements: Lillian: I didn\'t take the wallet. I have never in my life stolen anything. Theo did it. Judy: I didn\'t take the wallet. My daddy is rich enough, and I have a wallet of my own. Margaret knows who did it. David: I didn\'t take the wallet. I didn\'t know Margaret before I came into the elevator. Theo did it. Theo: I am not guilty. Margaret did it. Lillian is lying when she says I stole the wallet. Margaret: I didn\'t take the wallet. Judy is guilty. David can vouch for me because he has known me since I was born. Later, each person admitted that two of his/her statements were true and one was false. Assuming this is true, who stole the wallet? (Adapted from Scripta Mathematica.) Solution Judy stole the wallet. notice,just find the lies.. start with theo, his only lie could be saying margaret did it because he would be contradicting himself otherwise. so theo didnt do it, and that leads us to lillian and david\'s lies now that tells us margarets lie, and makes one of her truths that judy stole the wallet.. Lillian: (T)I didn\'t take the wallet. (T)I have never in my life stolen anything. (F)Theo did it. Judy: (F)I didn\'t take the wallet. (T)My daddy is rich enough, and I have a wallet of my own. (T)Margaret knows who did it. David: (T)I didn\'t take the wallet. (T)I didn\'t know Margaret before I came into the elevator. (F)Theo did it. Theo: (T)I am not guilty. (F)Margaret did it. (T)Lillian is lying when she says I stole the wallet. Margaret: (T)I didn\'t take the wallet. (T)Judy is guilty. (F)David can vouch for me because he has known me since I was born..

1. A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn't take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn't take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn't take the wallet.
I didn't know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn't take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
Assuming this is true, who stole the wallet?
(Adapted from Scripta Mathematica.)
A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three

2. statements:
Lillian:
I didn't take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn't take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn't take the wallet.
I didn't know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn't take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
Assuming this is true, who stole the wallet?
(Adapted from Scripta Mathematica.)
Solution
Judy stole the wallet. notice,just find the lies.. start with theo, his only lie could be
saying margaret did it because he would be contradicting himself otherwise. so theo didnt do it,
and that leads us to lillian and david's lies now that tells us margarets lie, and makes one of her
truths that judy stole the wallet.. Lillian: (T)I didn't take the wallet. (T)I have never in my life

3. stolen anything. (F)Theo did it. Judy: (F)I didn't take the wallet. (T)My daddy is rich enough,
and I have a wallet of my own. (T)Margaret knows who did it. David: (T)I didn't take the
wallet. (T)I didn't know Margaret before I came into the elevator. (F)Theo did it. Theo: (T)I am
not guilty. (F)Margaret did it. (T)Lillian is lying when she says I stole the wallet. Margaret: (T)I
didn't take the wallet. (T)Judy is guilty. (F)David can vouch for me because he has known me
since I was born.