Question 126
In the house of the wealthy Lady Gilmore, one of her most precious possessions has been stolen: her pearl necklace. The task of unraveling the mystery fell on the shoulders of Inspector Goodenough. He had the following information: on the day of the theft, $7$ of Lady Gilmore's servants, whom we will refer to as $A$, $B$, $C$, $D$, $E$, $F$, $G$ for the confidentiality of the investigation, entered the room with the necklace. Each claimed to have been in the room only once for an unspecified period of time. Additionally, $A$ claims to have met $B$, $C$, $F$, $G$ in the room; $B$ claims to have met $A$, $C$, $D$, $E$, $F$; $C$ claims to have met $A$, $B$, $E$; $E$ claims to have met $B$, $C$, $F$; $F$ claims to have met $A$, $B$, $D$, $E$; $G$ claims to have met $A$, $D$ and $D$ claims to have met $B$, $F$, $G$. Inspector Goodenough concluded that one of the servants was lying. Who is he?
(Lyuben Lichev)
(Lyuben Lichev)