[K Sengupta]

Hyperboreans recognized heroes as those warriors who had single-handedly vanquished monsters. Each of five Hyperboreans, Actaeon, Ceyx, Minos, Nisus, and Pyramus, had accomplished this feat. They defeated one sea serpent, two griffins and two chimaeras.

All Hyperboreans are either Sororeans, who always speak truthfully; Nororeans, who always speak falsely; Midroreans, who make statements that are alternately true and false, but in which order is unknown; or those few Outliers who do not abide by the land's traditions.

How truthful an Outlier's statements are is unknown, except that they are not the same as those those who are Sororeans, Nororeans, or Midroreans. As to the five heroes, one of them, and only one, is an Outlier.

Based on the statements below, determine the group of each hero, and what type of monster each defeated.

Actaeon:

1. Everything Minos states is false.
2. I did not defeat a griffin.
3. Ceyx defeated a griffin.
4. I agree with Nisus' first statement.


Ceyx:

1. I defeated a sea serpent.
2. Minos did not defeat a chimaera.
3. Nisus defeated a chimaera.
4. Actaeon defeated a griffin.


Minos:

1. I agree with Actaeon's first statement.
2. Ceyx did not defeat a chimaera.
3. Actaeon is not a Sororean.
4. I defeated a sea serpent.


Nisus:

1. Minos' third statement is false.
2. I defeated a chimaera.
3. Actaeon did not defeat a griffin.
4. Pyramus defeated a chimaera.


Pyramus:

1. Nisus defeated a sea serpent.
2. Minos is a Midrorean.
3. Actaeon is not a Nororean.
4. Ceyx defeated a chimaera.

This post has been edited by K Sengupta: 03 November 2009 - 02:19 PM

[Thoreathole]

Spoiler for Solution...

Actaeon: Nororean/Griffon
Ceyx: Sororean/Sea Serpent
Minos: Outlier/Griffon
Nisus: Midrorean/Chimaera
Pyramus: Nororean/Chimaera