### 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

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

This brain teaser has no comments.

To post a comment, please create an account and sign in.

## Follow Braingle!