A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Oliver, Samuel, Joseph, Riley, and Chloe. Matthew asserted: "Riley is a knave or Chloe is a knave". Oliver asserted: "If Joseph is a knave then Oliver is a knight". "Matthew is a knave and Oliver is a knave," Samuel claimed. As Joseph put it, "Chloe is a knight or Chloe is a knave". "Matthew is not a knave," Riley claimed. Chloe noted, "Chloe is a knight". So who is a knight and who is a knave?

Matthew Oliver Samuel Joseph Riley Chloe

Matthew is a knight, Oliver is a knight, Samuel is a knave, Joseph is a knight, Riley is a knight, and Chloe is a knave.

(1) Matthew is a knight
(2) Oliver is a knight
(3) Samuel is a knave
(4) Joseph is a knight
(5) Riley is a knight
(6) Chloe is a knave

Assume Matthew is a knight. No contradiction is found in their claim that Riley is a knave or Chloe is a knave.

Assume Riley is a knight. No contradiction is found in their claim that Matthew is not a knave.

Chloe cannot be a knight, because this would contradict the claim of Matthew that Riley is a knave or Chloe is a knave.

Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight.

Assume Oliver is a knight. No contradiction is found in their claim that If Joseph is a knave then Oliver is a knight.

Assume Joseph is a knight. No contradiction is found in their claim that Chloe is a knight or Chloe is a knave.

Samuel cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Oliver is a knave.

Assume Samuel is a knave. No contradiction is found in their false claim that Matthew is a knave and Oliver is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aiden, Abigail, Joseph, Jack, Mason, and David. Aiden expressed that Mason is not a knave. Abigail told you that Aiden is not a knight. Joseph said, "Mason is a knight and David is a knight." According to Jack, "Abigail is not a knight". "Joseph is a knave if and only if Jack is a knave," Mason declared. "If David is a knight then Jack is a knight," David mentioned. So who is a knight and who is a knave?

Aiden is a knight, Abigail is a knave, Joseph is a knight, Jack is a knight, Mason is a knight, and David is a knight.

(1) Aiden is a knight
(2) Abigail is a knave
(3) Joseph is a knight
(4) Jack is a knight
(5) Mason is a knight
(6) David is a knight

Let's think step by step, by considering whether each person is lying and if that leads to contradiction.

Assume Aiden is a knight. No contradiction is found in their claim that Mason is not a knave.

Assume Mason is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Jack is a knave.

Assume Joseph is a knight. No contradiction is found in their claim that Mason is a knight and David is a knight.

Assume David is a knight. No contradiction is found in their claim that If David is a knight then Jack is a knight.

Assume Jack is a knight. No contradiction is found in their claim that Abigail is not a knight.

Abigail cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.

Assume Abigail is a knave. No contradiction is found in their false claim that Aiden is not a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Penelope, William, Noah, Luke, Oliver, and Lily. Penelope said, "Lily is not a knave." William was heard saying, "Luke is a knight or Penelope is a knight". Noah noted, "William is a knave". Luke commented, "If William is a knight then Noah is a knave". Oliver said that Lily is a knight and William is a knight. According to Lily, "If Luke is a knight then William is a knight". So who is a knight and who is a knave?

Penelope is a knight, William is a knight, Noah is a knave, Luke is a knight, Oliver is a knight, and Lily is a knight.

(1) Penelope is a knight
(2) William is a knight
(3) Noah is a knave
(4) Luke is a knight
(5) Oliver is a knight
(6) Lily is a knight

Assume Penelope is a knight. No contradiction is found in their claim that Lily is not a knave.

Assume Lily is a knight. No contradiction is found in their claim that If Luke is a knight then William is a knight.

Assume Luke is a knight. No contradiction is found in their claim that If William is a knight then Noah is a knave.

Assume William is a knight. No contradiction is found in their claim that Luke is a knight or Penelope is a knight.

Noah cannot be a knight, because this would contradict the claim of their own that William is a knave.

Assume Noah is a knave. No contradiction is found in their false claim that William is a knave.

Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knight and William is a knight.

(('not', ('lying', 5)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 1), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 1)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Ethan, Amelia, Ava, Harper, and Elizabeth. "Ethan is not a knave," James mentioned. "Ava is a knight and Ava is a knave," Ethan declared. According to Amelia, "James is a knave and Ava is a knave". Ava stated, "Ethan is a knave". Harper said that James is a knight. Elizabeth said, "Ava is a knight or James is a knave." So who is a knight and who is a knave?

James is a knave, Ethan is a knave, Amelia is a knave, Ava is a knight, Harper is a knave, and Elizabeth is a knight.

(1) James is a knave
(2) Ethan is a knave
(3) Amelia is a knave
(4) Ava is a knight
(5) Harper is a knave
(6) Elizabeth is a knight

Assume James is a knight. No contradiction is found in their claim that Ethan is not a knave.

Ethan cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Ava is a knave.

Ethan cannot be a knave, because this would contradict the claim of James that Ethan is not a knave.

We have exhausted all possibilities for Ethan, so let us go back and reconsider James.

Assume James is a knave. No contradiction is found in their false claim that Ethan is not a knave.

Ethan cannot be a knight, because this would contradict the false claim of James that Ethan is not a knave.

Assume Ethan is a knave. No contradiction is found in their false claim that Ava is a knight and Ava is a knave.

Assume Ava is a knight. No contradiction is found in their claim that Ethan is a knave.

Amelia cannot be a knight, because this would contradict the claim of their own that James is a knave and Ava is a knave.

Assume Amelia is a knave. No contradiction is found in their false claim that James is a knave and Ava is a knave.

Harper cannot be a knight, because this would contradict the claim of their own that James is a knight.

Assume Harper is a knave. No contradiction is found in their false claim that James is a knight.

Assume Elizabeth is a knight. No contradiction is found in their claim that Ava is a knight or James is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Aiden, Emma, Jack, Daniel, and Logan. As Jackson put it, "Logan is not a knave". Aiden commented, "Daniel is not a knave". Emma asserted: "Jackson is a knave if and only if Aiden is a knave". Jack remarked, "Emma is not a knave". Daniel said, "Jack is a knight." Logan noted, "Daniel is a knight". So who is a knight and who is a knave?

Jackson is a knight, Aiden is a knight, Emma is a knight, Jack is a knight, Daniel is a knight, and Logan is a knight.

(1) Jackson is a knight
(2) Aiden is a knight
(3) Emma is a knight
(4) Jack is a knight
(5) Daniel is a knight
(6) Logan is a knight

Assume Jackson is a knight. No contradiction is found in their claim that Logan is not a knave.

Assume Logan is a knight. No contradiction is found in their claim that Daniel is a knight.

Assume Daniel is a knight. No contradiction is found in their claim that Jack is a knight.

Assume Jack is a knight. No contradiction is found in their claim that Emma is not a knave.

Assume Emma is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Aiden is a knave.

Assume Aiden is a knight. No contradiction is found in their claim that Daniel is not a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Chloe, Evelyn, Jack, Samuel, Matthew, and Elizabeth. Chloe was heard saying, "If Samuel is a knave then Matthew is a knight". Evelyn noted, "Chloe is a knave if and only if Jack is a knight". In Jack's words: "If Elizabeth is a knave then Chloe is a knave". "Matthew is a knave if and only if Evelyn is a knight" - Samuel. "Jack is a knight and Evelyn is a knight" - Matthew. "Matthew is a knave if and only if Elizabeth is a knight," Elizabeth declared. So who is a knight and who is a knave?

Chloe Evelyn Jack Samuel Matthew Elizabeth

Chloe is a knight, Evelyn is a knight, Jack is a knave, Samuel is a knight, Matthew is a knave, and Elizabeth is a knave.

(1) Chloe is a knight
(2) Evelyn is a knight
(3) Jack is a knave
(4) Samuel is a knight
(5) Matthew is a knave
(6) Elizabeth is a knave

Assume Chloe is a knight. No contradiction is found in their claim that If Samuel is a knave then Matthew is a knight.

Assume Samuel is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Evelyn is a knight.

Assume Matthew is a knight. No contradiction is found in their claim that Jack is a knight and Evelyn is a knight.

Assume Jack is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Chloe is a knave.

Elizabeth cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Elizabeth is a knight.

Elizabeth cannot be a knave, because this would contradict the claim of Jack that If Elizabeth is a knave then Chloe is a knave.

We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jack.

Jack cannot be a knave, because this would contradict the claim of Matthew that Jack is a knight and Evelyn is a knight.

We have exhausted all possibilities for Jack, so let us go back and reconsider Matthew.

Assume Matthew is a knave. No contradiction is found in their false claim that Jack is a knight and Evelyn is a knight.

Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Elizabeth is a knight.

Evelyn cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Jack is a knight.

Evelyn cannot be a knave, because this would contradict the claim of Samuel that Matthew is a knave if and only if Evelyn is a knight.

We have exhausted all possibilities for Evelyn, so let us go back and reconsider Elizabeth.

Assume Jack is a knave. No contradiction is found in their false claim that If Elizabeth is a knave then Chloe is a knave.

Elizabeth cannot be a knight, because this would contradict the false claim of Jack that If Elizabeth is a knave then Chloe is a knave.

Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Elizabeth is a knight.

Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Jack is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Mason, Scarlett, Aria, Mia, and Benjamin. According to Ava, "Aria is not a knave". Mason commented, "Ava is a knave and Ava is a knight". Scarlett said that Aria is a knight. "Benjamin is a knight," Aria declared. As Mia put it, "Aria is a knight if and only if Aria is a knave". In a statement by Benjamin: "Benjamin is a knight or Mia is a knave". So who is a knight and who is a knave?

Ava is a knight, Mason is a knave, Scarlett is a knight, Aria is a knight, Mia is a knave, and Benjamin is a knight.

(1) Ava is a knight
(2) Mason is a knave
(3) Scarlett is a knight
(4) Aria is a knight
(5) Mia is a knave
(6) Benjamin is a knight

Assume Ava is a knight. No contradiction is found in their claim that Aria is not a knave.

Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knight.

Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight or Mia is a knave.

Mia cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.

Assume Mia is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.

Mason cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Ava is a knight.

Assume Mason is a knave. No contradiction is found in their false claim that Ava is a knave and Ava is a knight.

Assume Scarlett is a knight. No contradiction is found in their claim that Aria is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Harper, Liam, Lily, Elizabeth, and Aurora. Luke was heard saying, "Aurora is not a knight". "Liam is a knave and Elizabeth is a knight," Harper mentioned. Liam was heard saying, "Elizabeth is a knight". "If Aurora is a knave then Harper is a knight," Lily claimed. Elizabeth said, "Harper is a knave and Luke is a knight." Aurora asserted: "Harper is a knave or Liam is a knight". So who is a knight and who is a knave?

Luke is a knave, Harper is a knave, Liam is a knave, Lily is a knight, Elizabeth is a knave, and Aurora is a knight.

(1) Luke is a knave
(2) Harper is a knave
(3) Liam is a knave
(4) Lily is a knight
(5) Elizabeth is a knave
(6) Aurora is a knight

Assume Luke is a knight. No contradiction is found in their claim that Aurora is not a knight.

Aurora cannot be a knight, because this would contradict the claim of Luke that Aurora is not a knight.

Assume Aurora is a knave. No contradiction is found in their false claim that Harper is a knave or Liam is a knight.

Assume Harper is a knight. No contradiction is found in their claim that Liam is a knave and Elizabeth is a knight.

Liam cannot be a knight, because this would contradict the claim of Harper that Liam is a knave and Elizabeth is a knight.

Assume Liam is a knave. No contradiction is found in their false claim that Elizabeth is a knight.

Elizabeth cannot be a knight, because this would contradict the false claim of Liam that Elizabeth is a knight.

Elizabeth cannot be a knave, because this would contradict the claim of Harper that Liam is a knave and Elizabeth is a knight.

We have exhausted all possibilities for Elizabeth and Liam, so let us go back and reconsider Harper.

Harper cannot be a knave, because this would contradict the false claim of Aurora that Harper is a knave or Liam is a knight.

We have exhausted all possibilities for Harper and Aurora, so let us go back and reconsider Luke.

Assume Luke is a knave. No contradiction is found in their false claim that Aurora is not a knight.

Assume Aurora is a knight. No contradiction is found in their claim that Harper is a knave or Liam is a knight.

Liam cannot be a knave, because this would contradict the claim of Aurora that Harper is a knave or Liam is a knight.

We have exhausted all possibilities for Liam, so let us go back and reconsider Harper.

Assume Harper is a knave. No contradiction is found in their false claim that Liam is a knave and Elizabeth is a knight.

Assume Liam is a knight. No contradiction is found in their claim that Elizabeth is a knight.

Elizabeth cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Luke is a knight.

Elizabeth cannot be a knave, because this would contradict the claim of Liam that Elizabeth is a knight.

We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Liam.

Elizabeth cannot be a knight, because this would contradict the false claim of Harper that Liam is a knave and Elizabeth is a knight.

Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knave and Luke is a knight.

Assume Lily is a knight. No contradiction is found in their claim that If Aurora is a knave then Harper is a knight.