Question 11
Exactly one of the four dwarfs $A,B,C,D$ stole the king's gold. They each make two statements:
$A$: “$B$ is a liar.” “$C$ or $D$ stole the gold.”
$B$: “$C$ is a liar.” “$D$ or $A$ stole the gold.”
$C$: “$D$ is a liar.” “$A$ or $B$ stole the gold.”
$D$: “$A$ is a liar.” “$B$ or $C$ stole the gold.”
A liar makes at least one false statement; a truthful dwarf makes two true statements. How many of the eight statements are true?
$A$: “$B$ is a liar.” “$C$ or $D$ stole the gold.”
$B$: “$C$ is a liar.” “$D$ or $A$ stole the gold.”
$C$: “$D$ is a liar.” “$A$ or $B$ stole the gold.”
$D$: “$A$ is a liar.” “$B$ or $C$ stole the gold.”
A liar makes at least one false statement; a truthful dwarf makes two true statements. How many of the eight statements are true?