Brain Teasers
On A Role
Carl, Draco, Emma, Ivy, June, & Xavior are playing a game with you in which you have to guess their roles in exactly 16 statements.
The roles are:
Normal - Has no abilities
Liar - Knows all roles & has to lie
Detective - Knows all roles
Switcher - Switches 2 roles after the first statement (cannot switch themselves)
Cupid - Pairs 2 players and lets them see each other's roles (cannot pair themselves)
Spy - Knows who was switched
The following 16 statements were made:
Carl is not Cupid - June
Ivy is the Liar - Carl
I know someone's role - Draco
I know the Switcher - Xavior
Ivy is not Normal - Emma
I wasn't switched - Ivy
Emma knows Draco's role - June
Xavior knows who was switched - Carl
Emma & I are not the Spy - Draco
Draco or June is Normal - Xavior
I don't know the Spy - Emma
I'm the Spy - Ivy
The Cupid wasn't switched - June
Xavior isn't Cupid - Carl
I don't know the Detective - Draco
I'm not the Spy - Xavior
Who is who?
*The Detective/Liar knows who was switched; if the Detective/Liar is switched then only the new Detective/Liar is updated
The roles are:
Normal - Has no abilities
Liar - Knows all roles & has to lie
Detective - Knows all roles
Switcher - Switches 2 roles after the first statement (cannot switch themselves)
Cupid - Pairs 2 players and lets them see each other's roles (cannot pair themselves)
Spy - Knows who was switched
The following 16 statements were made:
Carl is not Cupid - June
Ivy is the Liar - Carl
I know someone's role - Draco
I know the Switcher - Xavior
Ivy is not Normal - Emma
I wasn't switched - Ivy
Emma knows Draco's role - June
Xavior knows who was switched - Carl
Emma & I are not the Spy - Draco
Draco or June is Normal - Xavior
I don't know the Spy - Emma
I'm the Spy - Ivy
The Cupid wasn't switched - June
Xavior isn't Cupid - Carl
I don't know the Detective - Draco
I'm not the Spy - Xavior
Who is who?
*The Detective/Liar knows who was switched; if the Detective/Liar is switched then only the new Detective/Liar is updated
Answer
Normal=DracoLiar=Ivy
Detective=Xavior
Switcher=Emma
Cupid=June
Spy=Carl
Explanation:
Step 1: Draco, Xavior, & Emma are telling the truth
"Ivy is the Liar - Carl"
If Carl is telling the truth then Ivy is lying, otherwise Carl is lying
Since Carl or Ivy is lying & there is only 1 liar, the other are honest
Step 2: June is telling the truth (can't prove the 1st statement yet)
"Ivy is the Liar - Carl"
If Carl is telling the truth then Ivy is lying, if Carl is lying then Carl is lying
However, since June is the 1st one to talk, June could have been swapped and started as the liar
Step 3: Emma is paired
"Emma knows Draco's role - June"
This leaves 5 scenarios:
1. Emma is the Detective & is paired with June
2. June is Cupid & paired Draco & Emma
3. Emma is the Liar & is paired with June
4. Emma is the Liar & June is the Detective
5. June is lying
Statements 3-5 can't be true since Emma & June are telling the truth; therefore Emma is paired with Draco or June
Step 4: Emma isn't the Cupid or Normal
"Cupid - Pairs 2 players and lets them see each other's roles (cannot pair themselves)"
Cupid can't pair themselves
"Draco or June is Normal - Xavior"
Xavior is telling the truth; therefore Emma can't be Normal
Step 5: Emma isn't the Detective or Spy:
"I don't know the Spy - Emma"
If Emma was the Detective or Spy, then Emma would know the Spy
This leaves Emma with Switcher
Step 6: June is Cupid & Draco is Paired
"Emma knows Draco's role - June"
We had 2 possible scenarios:
1. Emma is the Detective & is paired with June
2. June is Cupid & paired Draco & Emma
However, Emma isn't the detective; therefore Draco & Emma are paired by June the Cupid
Step 7: Draco = Normal
"Draco or June is Normal - Xavior"
June is Cupid & Xavior is telling the truth; therefore Draco is Normal
Step 8: The final 3
"I'm not the Spy - Xavior"
This leaves the Detective.
"Xavior knows who was switched - Carl"
This is true, which means Ivy is the liar & Carl is the Spy.
Ivy & Carl were swapped
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