A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Avery, Joseph, Ella, Owen, Samuel, and Michael. Olivia asserted: "Samuel is a knight if and only if Samuel is a knave". "If Olivia is a knight then Michael is a knave," Avery claimed. Joseph said that Avery is a knight and Olivia is a knight. Ella told you that If Samuel is a knight then Michael is a knave. In Owen's words: "Olivia is a knave if and only if Ella is a knight". Samuel said that If Ella is a knave then Avery is a knight. Michael said that If Joseph is a knight then Avery is a knight. So who is a knight and who is a knave?

Olivia Avery Joseph Ella Owen Samuel Michael

Olivia is a knave, Avery is a knight, Joseph is a knave, Ella is a knave, Owen is a knave, Samuel is a knight, and Michael is a knight.

(1) Olivia is a knave
(2) Avery is a knight
(3) Joseph is a knave
(4) Ella is a knave
(5) Owen is a knave
(6) Samuel is a knight
(7) Michael is a knight

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

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

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

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

Michael cannot be a knight, because this would contradict the claim of Ella that If Samuel is a knight then Michael is a knave.

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

Joseph cannot be a knight, because this would contradict the claim of their own that Avery is a knight and Olivia is a knight.

Joseph cannot be a knave, because this would contradict the false claim of Michael that If Joseph is a knight then Avery is a knight.

We have exhausted all possibilities for Joseph and Michael, so let us go back and reconsider Ella.

Assume Ella is a knave. No contradiction is found in their false claim that If Samuel is a knight then Michael is a knave.

Assume Michael is a knight. No contradiction is found in their claim that If Joseph is a knight then Avery is a knight.

Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight and Olivia is a knight.

Assume Avery is a knight. No contradiction is found in their claim that If Olivia is a knight then Michael is a knave.

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

Assume Owen is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Ella 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 7 inhabitants: Jackson, Abigail, Aiden, Scarlett, Aurora, Ethan, and Ella. "Scarlett is a knave or Aiden is a knight" - Jackson. Abigail remarked, "Scarlett is a knave if and only if Jackson is a knight". Aiden told you that Scarlett is a knight if and only if Abigail is a knight. Scarlett expressed that Ethan is not a knight. Aurora noted, "Abigail is a knave". In a statement by Ethan: "Ethan is a knight if and only if Aiden is a knave". Ella expressed that Ethan is a knight and Scarlett is a knight. So who is a knight and who is a knave?

Jackson Abigail Aiden Scarlett Aurora Ethan Ella

Jackson is a knight, Abigail is a knight, Aiden is a knave, Scarlett is a knave, Aurora is a knave, Ethan is a knight, and Ella is a knave.

(1) Jackson is a knight
(2) Abigail is a knight
(3) Aiden is a knave
(4) Scarlett is a knave
(5) Aurora is a knave
(6) Ethan is a knight
(7) Ella is a knave

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

Assume Jackson is a knight. No contradiction is found in their claim that Scarlett is a knave or Aiden is a knight.

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

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

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

Aiden cannot be a knight, because this would contradict the false claim of Ethan that Ethan is a knight if and only if Aiden is a knave.

Aiden cannot be a knave, because this would contradict the claim of Jackson that Scarlett is a knave or Aiden is a knight.

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

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

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

Aiden cannot be a knight, because this would contradict the claim of Ethan that Ethan is a knight if and only if Aiden is a knave.

Assume Aiden is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Abigail is a knight.

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is a knave.

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

Assume Ella is a knave. No contradiction is found in their false claim that Ethan is a knight and Scarlett 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 7 inhabitants: Avery, Olivia, Riley, Penelope, Samuel, Owen, and Isabella. "Penelope is a knight and Riley is a knave," Avery mentioned. "Owen is a knight and Penelope is a knave," Olivia claimed. Riley stated, "Avery is a knave if and only if Avery is a knight". According to Penelope, "If Isabella is a knight then Owen is a knight". Samuel commented, "Penelope is a knave and Riley is a knight". "If Isabella is a knave then Avery is a knave," Owen mentioned. According to Isabella, "Samuel is a knight". So who is a knight and who is a knave?

Avery Olivia Riley Penelope Samuel Owen Isabella

Avery is a knight, Olivia is a knave, Riley is a knave, Penelope is a knight, Samuel is a knave, Owen is a knave, and Isabella is a knave.

(1) Avery is a knight
(2) Olivia is a knave
(3) Riley is a knave
(4) Penelope is a knight
(5) Samuel is a knave
(6) Owen is a knave
(7) Isabella is a knave

Assume Avery is a knight. No contradiction is found in their claim that Penelope is a knight and Riley is a knave.

Assume Penelope is a knight. No contradiction is found in their claim that If Isabella is a knight then Owen is a knight.

Assume Isabella is a knight. No contradiction is found in their claim that Samuel is a knight.

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

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

We have exhausted all possibilities for Samuel, so let us go back and reconsider Isabella.

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

Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knave and Riley is a knight.

Riley cannot be a knight, because this would contradict the claim of Avery that Penelope is a knight and Riley is a knave.

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

Owen cannot be a knight, because this would contradict the claim of their own that If Isabella is a knave then Avery is a knave.

Assume Owen is a knave. No contradiction is found in their false claim that If Isabella is a knave then Avery is a knave.

Olivia cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Penelope is a knave.

Assume Olivia is a knave. No contradiction is found in their false claim that Owen is a knight and Penelope 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 7 inhabitants: Luke, Henry, James, Daniel, Aria, Olivia, and Aurora. Luke said, "Olivia is a knight or Henry is a knight." Henry commented, "If Daniel is a knight then Daniel is a knave". "Aurora is not a knight" - James. "Luke is a knight," Daniel declared. Aria said that If James is a knight then Luke is a knave. Olivia was heard saying, "James is not a knight". As Aurora put it, "If Henry is a knave then Aria is a knight". So who is a knight and who is a knave?

Luke Henry James Daniel Aria Olivia Aurora

Luke is a knight, Henry is a knave, James is a knave, Daniel is a knight, Aria is a knight, Olivia is a knight, and Aurora is a knight.

(1) Luke is a knight
(2) Henry is a knave
(3) James is a knave
(4) Daniel is a knight
(5) Aria is a knight
(6) Olivia is a knight
(7) Aurora is a knight

Assume Luke is a knight. No contradiction is found in their claim that Olivia is a knight or Henry is a knight.

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

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

Assume James 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 If Henry is a knave then Aria is a knight.

Assume Henry is a knight. No contradiction is found in their claim that If Daniel is a knight then Daniel is a knave.

Daniel cannot be a knight, because this would contradict the claim of Henry that If Daniel is a knight then Daniel is a knave.

Daniel cannot be a knave, because this would contradict the false claim of their own that Luke is a knight.

We have exhausted all possibilities for Daniel, so let us go back and reconsider Henry.

Assume Henry is a knave. No contradiction is found in their false claim that If Daniel is a knight then Daniel is a knave.

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

Assume Aria is a knight. No contradiction is found in their claim that If James is a knight then Luke 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 7 inhabitants: Ava, Aiden, Oliver, Riley, Michael, Avery, and Joseph. "Riley is a knave," Ava mentioned. "If Oliver is a knight then Oliver is a knave," Aiden declared. "Joseph is not a knave," Oliver mentioned. Riley said that If Riley is a knight then Ava is a knave. As Michael put it, "Ava is not a knight". Avery told you that Oliver is not a knight. According to Joseph, "Avery is a knight if and only if Aiden is a knight". So who is a knight and who is a knave?

Ava Aiden Oliver Riley Michael Avery Joseph

Ava is a knave, Aiden is a knave, Oliver is a knight, Riley is a knight, Michael is a knight, Avery is a knave, and Joseph is a knight.

(1) Ava is a knave
(2) Aiden is a knave
(3) Oliver is a knight
(4) Riley is a knight
(5) Michael is a knight
(6) Avery is a knave
(7) Joseph is a knight

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

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

Riley cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then Ava is a knave.

We have exhausted all possibilities for Riley, so let us go back and reconsider Ava.

Assume Ava is a knave. No contradiction is found in their false claim that Riley is a knave.

Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Ava is a knave.

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

Oliver cannot be a knight, because this would contradict the claim of Aiden that If Oliver is a knight then Oliver is a knave.

Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is not a knave.

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

Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Aiden is a knight.

Avery cannot be a knight, because this would contradict the false claim of Joseph that Avery is a knight if and only if Aiden is a knight.

Avery cannot be a knave, because this would contradict the false claim of their own that Oliver is not a knight.

We have exhausted all possibilities for Avery, Joseph, and Oliver, so let us go back and reconsider Aiden.

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

Assume Oliver is a knight. No contradiction is found in their claim that Joseph is not a knave.

Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knight if and only if Aiden is a knight.

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

Assume Avery is a knave. No contradiction is found in their false claim that Oliver is not a knight.

Assume Michael is a knight. No contradiction is found in their claim that Ava 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 7 inhabitants: Grace, Isabella, Henry, Amelia, Samuel, Alexander, and Jacob. Grace was heard saying, "Jacob is a knave if and only if Samuel is a knight". Isabella said, "Alexander is not a knight." Henry remarked, "Samuel is a knave if and only if Isabella is a knight". Amelia remarked, "Isabella is a knight if and only if Grace is a knave". "Grace is a knave and Amelia is a knave," Samuel declared. Alexander expressed that Amelia is a knight and Alexander is a knight. As Jacob put it, "Samuel is a knave and Samuel is a knight". So who is a knight and who is a knave?

Grace Isabella Henry Amelia Samuel Alexander Jacob

Grace is a knave, Isabella is a knight, Henry is a knight, Amelia is a knight, Samuel is a knave, Alexander is a knave, and Jacob is a knave.

(1) Grace is a knave
(2) Isabella is a knight
(3) Henry is a knight
(4) Amelia is a knight
(5) Samuel is a knave
(6) Alexander is a knave
(7) Jacob is a knave

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Samuel is a knave and Samuel is a knight.

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

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

We have exhausted all possibilities for Samuel and Jacob, so let us go back and reconsider Grace.

Assume Grace is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Samuel is a knight.

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

Assume Samuel is a knave. No contradiction is found in their false claim that Grace is a knave and Amelia is a knave.

Assume Amelia is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Grace is a knave.

Assume Isabella is a knight. No contradiction is found in their claim that Alexander is not a knight.

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

Assume Alexander is a knave. No contradiction is found in their false claim that Amelia is a knight and Alexander is a knight.

Assume Henry is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Isabella 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 7 inhabitants: Ella, Scarlett, Owen, Zoey, Charlotte, Amelia, and Oliver. Ella said, "Scarlett is not a knave." Scarlett commented, "Zoey is a knight or Amelia is a knave". Owen expressed that Amelia is a knight or Oliver is a knave. Zoey told you that Charlotte is not a knave. Charlotte expressed that Oliver is a knave and Zoey is a knight. As Amelia put it, "Scarlett is a knight and Charlotte is a knight". Oliver was heard saying, "If Ella is a knight then Scarlett is a knight". So who is a knight and who is a knave?

Ella Scarlett Owen Zoey Charlotte Amelia Oliver

Ella is a knight, Scarlett is a knight, Owen is a knave, Zoey is a knave, Charlotte is a knave, Amelia is a knave, and Oliver is a knight.

(1) Ella is a knight
(2) Scarlett is a knight
(3) Owen is a knave
(4) Zoey is a knave
(5) Charlotte is a knave
(6) Amelia is a knave
(7) Oliver is a knight

Assume Ella is a knight. No contradiction is found in their claim that Scarlett is not a knave.

Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is a knight or Amelia is a knave.

Assume Zoey is a knight. No contradiction is found in their claim that Charlotte is not a knave.

Assume Charlotte is a knight. No contradiction is found in their claim that Oliver is a knave and Zoey is a knight.

Oliver cannot be a knight, because this would contradict the claim of Charlotte that Oliver is a knave and Zoey is a knight.

Oliver cannot be a knave, because this would contradict the false claim of their own that If Ella is a knight then Scarlett is a knight.

We have exhausted all possibilities for Oliver, so let us go back and reconsider Charlotte.

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

We have exhausted all possibilities for Charlotte, so let us go back and reconsider Zoey.

Assume Zoey is a knave. No contradiction is found in their false claim that Charlotte is not a knave.

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Oliver is a knave and Zoey is a knight.

Assume Oliver is a knight. No contradiction is found in their claim that If Ella is a knight then Scarlett is a knight.

Amelia cannot be a knight, because this would contradict the claim of Scarlett that Zoey is a knight or Amelia is a knave.

Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knight and Charlotte is a knight.

Owen cannot be a knight, because this would contradict the claim of their own that Amelia is a knight or Oliver is a knave.

Assume Owen is a knave. No contradiction is found in their false claim that Amelia is a knight or 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 7 inhabitants: Abigail, Aurora, Ethan, Lily, James, David, and Henry. In a statement by Abigail: "David is a knave or Aurora is a knave". Aurora stated, "Ethan is not a knight". "James is a knight if and only if Aurora is a knight," Ethan declared. "James is a knight or James is a knave," Lily claimed. "If Abigail is a knave then David is a knave," James declared. According to David, "Aurora is a knight and Abigail is a knave". Henry remarked, "Ethan is a knave". So who is a knight and who is a knave?

Abigail Aurora Ethan Lily James David Henry

Abigail is a knave, Aurora is a knight, Ethan is a knave, Lily is a knight, James is a knave, David is a knight, and Henry is a knight.

(1) Abigail is a knave
(2) Aurora is a knight
(3) Ethan is a knave
(4) Lily is a knight
(5) James is a knave
(6) David is a knight
(7) Henry is a knight

Assume Abigail is a knight. No contradiction is found in their claim that David is a knave or Aurora is a knave.

David cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Abigail is a knave.

Assume David is a knave. No contradiction is found in their false claim that Aurora is a knight and Abigail is a knave.

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that James is a knight if and only if Aurora is a knight.

James cannot be a knight, because this would contradict the false claim of Ethan that James is a knight if and only if Aurora is a knight.

James cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then David is a knave.

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

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

Assume Ethan is a knight. No contradiction is found in their claim that James is a knight if and only if Aurora is a knight.

James cannot be a knight, because this would contradict the claim of Ethan that James is a knight if and only if Aurora is a knight.

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

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

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

Assume Abigail is a knave. No contradiction is found in their false claim that David is a knave or Aurora is a knave.

Assume David is a knight. No contradiction is found in their claim that Aurora is a knight and Abigail is a knave.

Assume James is a knave. No contradiction is found in their false claim that If Abigail is a knave then David is a knave.

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

Assume Henry is a knight. No contradiction is found in their claim that Ethan 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 7 inhabitants: Sophia, Aurora, William, Ella, Noah, Daniel, and Chloe. Sophia told you that If Noah is a knave then Daniel is a knight. In a statement by Aurora: "Daniel is a knave". In a statement by William: "Noah is a knave". Ella commented, "Sophia is a knight or Aurora is a knave". "Aurora is a knight or Daniel is a knave" - Noah. "If Aurora is a knave then William is a knight," Daniel mentioned. Chloe was heard saying, "Sophia is a knight or Daniel is a knave". So who is a knight and who is a knave?

Sophia Aurora William Ella Noah Daniel Chloe

Sophia is a knight, Aurora is a knave, William is a knight, Ella is a knight, Noah is a knave, Daniel is a knight, and Chloe is a knight.

(1) Sophia is a knight
(2) Aurora is a knave
(3) William is a knight
(4) Ella is a knight
(5) Noah is a knave
(6) Daniel is a knight
(7) Chloe is a knight

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

Assume Noah is a knight. No contradiction is found in their claim that Aurora is a knight or Daniel is a knave.

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

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

Daniel cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then William is a knight.

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

Assume Aurora is a knave. No contradiction is found in their false claim that Daniel is a knave.

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

Daniel cannot be a knave, because this would contradict the false claim of Aurora that Daniel is a knave.

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

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

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

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

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

Assume Ella is a knight. No contradiction is found in their claim that Sophia is a knight or Aurora is a knave.

Assume Chloe is a knight. No contradiction is found in their claim that Sophia is a knight or Daniel 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 7 inhabitants: Owen, Amelia, Daniel, Luke, Sebastian, Scarlett, and Joseph. Owen said that If Daniel is a knave then Scarlett is a knave. According to Amelia, "If Joseph is a knight then Daniel is a knave". Daniel expressed that Scarlett is not a knave. Luke noted, "Daniel is not a knave". In Sebastian's words: "Amelia is a knave and Scarlett is a knave". Scarlett stated, "If Daniel is a knight then Amelia is a knave". "Owen is not a knave" - Joseph. So who is a knight and who is a knave?

Owen Amelia Daniel Luke Sebastian Scarlett Joseph

Owen is a knight, Amelia is a knave, Daniel is a knight, Luke is a knight, Sebastian is a knave, Scarlett is a knight, and Joseph is a knight.

(1) Owen is a knight
(2) Amelia is a knave
(3) Daniel is a knight
(4) Luke is a knight
(5) Sebastian is a knave
(6) Scarlett is a knight
(7) Joseph is a knight

Assume Owen is a knight. No contradiction is found in their claim that If Daniel is a knave then Scarlett is a knave.

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

Assume Scarlett is a knight. No contradiction is found in their claim that If Daniel is a knight then Amelia is a knave.

Amelia cannot be a knight, because this would contradict the claim of Scarlett that If Daniel is a knight then Amelia is a knave.

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

Assume Joseph is a knight. No contradiction is found in their claim that Owen is not a knave.

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

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

Assume Sebastian is a knave. No contradiction is found in their false claim that Amelia is a knave and Scarlett 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 7 inhabitants: Isabella, Joseph, Victoria, Aria, Avery, Penelope, and Liam. Isabella was heard saying, "Penelope is not a knave". Joseph said, "Aria is a knave." Victoria was heard saying, "Joseph is a knight". According to Aria, "Liam is a knight". Avery told you that Isabella is a knight. In Penelope's words: "Liam is a knave". "Victoria is a knight if and only if Isabella is a knave," Liam claimed. So who is a knight and who is a knave?

Isabella Joseph Victoria Aria Avery Penelope Liam

Isabella is a knight, Joseph is a knight, Victoria is a knight, Aria is a knave, Avery is a knight, Penelope is a knight, and Liam is a knave.

(1) Isabella is a knight
(2) Joseph is a knight
(3) Victoria is a knight
(4) Aria is a knave
(5) Avery is a knight
(6) Penelope is a knight
(7) Liam is a knave

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Isabella is a knave.

Assume Victoria is a knight. No contradiction is found in their claim that Joseph is a knight.

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

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

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

Assume Avery is a knight. No contradiction is found in their claim that Isabella 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 7 inhabitants: Lily, Mason, Luke, Emma, Mia, Liam, and Aurora. Lily told you that Liam is a knight and Mason is a knight. In a statement by Mason: "Lily is a knave and Luke is a knight". "Aurora is a knave if and only if Emma is a knight," Luke mentioned. "If Luke is a knight then Aurora is a knave," Emma claimed. As Mia put it, "Mason is a knave and Mason is a knight". Liam said, "Luke is a knight and Emma is a knave." Aurora said that If Mason is a knave then Emma is a knight. So who is a knight and who is a knave?

Lily is a knave, Mason is a knave, Luke is a knave, Emma is a knight, Mia is a knave, Liam is a knave, and Aurora is a knight.

(1) Lily is a knave
(2) Mason is a knave
(3) Luke is a knave
(4) Emma is a knight
(5) Mia is a knave
(6) Liam is a knave
(7) Aurora is a knight

Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight and Mason is a knight.

Assume Liam is a knight. No contradiction is found in their claim that Luke is a knight and Emma is a knave.

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

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

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that If Mason is a knave then Emma is a knight.

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

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

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

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

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

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

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

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

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

Assume Mason is a knight. No contradiction is found in their claim that Lily is a knave and Luke is a knight.

Emma cannot be a knight, because this would contradict the claim of Luke that Aurora is a knave if and only if Emma is a knight.

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

We have exhausted all possibilities for Emma, so let us go back and reconsider Mason.

Mason cannot be a knight, because this would contradict the false claim of Aurora that If Mason is a knave then Emma is a knight.

Assume Luke is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Emma is a knight.

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Mason is a knave and Mason 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 7 inhabitants: Daniel, Victoria, Scarlett, Samuel, Sofia, Jack, and Harper. Daniel expressed that Samuel is a knave and Sofia is a knave. "If Jack is a knave then Jack is a knight," Victoria mentioned. "If Jack is a knight then Harper is a knight," Scarlett mentioned. "Scarlett is a knight or Jack is a knight," Samuel declared. In a statement by Sofia: "Harper is a knight if and only if Jack is a knight". "Daniel is a knave or Samuel is a knave," Jack claimed. In a statement by Harper: "If Victoria is a knave then Scarlett is a knight". So who is a knight and who is a knave?

Daniel Victoria Scarlett Samuel Sofia Jack Harper

Daniel is a knave, Victoria is a knight, Scarlett is a knight, Samuel is a knight, Sofia is a knight, Jack is a knight, and Harper is a knight.

(1) Daniel is a knave
(2) Victoria is a knight
(3) Scarlett is a knight
(4) Samuel is a knight
(5) Sofia is a knight
(6) Jack is a knight
(7) Harper is a knight

Assume Daniel is a knight. No contradiction is found in their claim that Samuel is a knave and Sofia is a knave.

Samuel cannot be a knight, because this would contradict the claim of Daniel that Samuel is a knave and Sofia is a knave.

Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knight or Jack is a knight.

Scarlett cannot be a knight, because this would contradict the false claim of Samuel that Scarlett is a knight or Jack is a knight.

Assume Scarlett is a knave. No contradiction is found in their false claim that If Jack is a knight then Harper is a knight.

Jack cannot be a knight, because this would contradict the false claim of Samuel that Scarlett is a knight or Jack is a knight.

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is a knave and Sofia is a knave.

Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knight or Jack is a knight.

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Harper is a knight 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 7 inhabitants: Scarlett, Jacob, Riley, William, Victoria, Avery, and Harper. "William is a knight if and only if Avery is a knave," Scarlett mentioned. Jacob told you that Jacob is a knight if and only if William is a knight. "If Avery is a knight then William is a knave," Riley declared. In William's words: "Jacob is a knave if and only if Victoria is a knight". Victoria was heard saying, "Riley is a knight if and only if Harper is a knave". In a statement by Avery: "Harper is a knight and William is a knave". Harper said, "If Avery is a knight then Riley is a knight." So who is a knight and who is a knave?

Scarlett Jacob Riley William Victoria Avery Harper

Scarlett is a knight, Jacob is a knight, Riley is a knight, William is a knight, Victoria is a knave, Avery is a knave, and Harper is a knight.

(1) Scarlett is a knight
(2) Jacob is a knight
(3) Riley is a knight
(4) William is a knight
(5) Victoria is a knave
(6) Avery is a knave
(7) Harper is a knight

Assume Scarlett is a knight. No contradiction is found in their claim that William is a knight if and only if Avery is a knave.

Assume William is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Victoria is a knight.

Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if William is a knight.

Victoria cannot be a knight, because this would contradict the claim of William that Jacob is a knave if and only if Victoria is a knight.

Assume Victoria is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Harper is a knave.

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

Avery cannot be a knight, because this would contradict the claim of Scarlett that William is a knight if and only if Avery is a knave.

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

Assume Harper is a knight. No contradiction is found in their claim that If Avery is a knight then Riley 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 7 inhabitants: Oliver, Riley, Samuel, Joseph, Jack, Noah, and William. In a statement by Oliver: "If William is a knight then Samuel is a knight". Riley said, "Oliver is not a knight." Samuel said that If Joseph is a knave then Noah is a knave. "If Samuel is a knight then William is a knave" - Joseph. Jack expressed that If Riley is a knight then William is a knight. "Riley is a knave or Jack is a knight," Noah mentioned. William expressed that Riley is a knight if and only if Jack is a knight. So who is a knight and who is a knave?

Oliver Riley Samuel Joseph Jack Noah William

Oliver is a knight, Riley is a knave, Samuel is a knight, Joseph is a knight, Jack is a knight, Noah is a knight, and William is a knave.

(1) Oliver is a knight
(2) Riley is a knave
(3) Samuel is a knight
(4) Joseph is a knight
(5) Jack is a knight
(6) Noah is a knight
(7) William is a knave

Assume Oliver is a knight. No contradiction is found in their claim that If William is a knight then Samuel is a knight.

Assume William is a knight. No contradiction is found in their claim that Riley is a knight if and only if Jack is a knight.

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

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

Jack cannot be a knight, because this would contradict the claim of William that Riley is a knight if and only if Jack is a knight.

Jack cannot be a knave, because this would contradict the false claim of their own that If Riley is a knight then William is a knight.

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

Assume William is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Jack is a knight.

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

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

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

Assume Noah is a knight. No contradiction is found in their claim that Riley is a knave or 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 7 inhabitants: William, Sofia, Elizabeth, Aria, Aiden, Scarlett, and Mason. William told you that Sofia is not a knight. Sofia remarked, "If Elizabeth is a knave then William is a knave". According to Elizabeth, "Mason is a knight or Sofia is a knight". As Aria put it, "Scarlett is a knave if and only if Aria is a knight". "If Elizabeth is a knight then William is a knave," Aiden mentioned. Scarlett was heard saying, "Aria is a knave or Mason is a knight". Mason remarked, "William is not a knight". So who is a knight and who is a knave?

William Sofia Elizabeth Aria Aiden Scarlett Mason

William is a knight, Sofia is a knave, Elizabeth is a knave, Aria is a knight, Aiden is a knight, Scarlett is a knave, and Mason is a knave.

(1) William is a knight
(2) Sofia is a knave
(3) Elizabeth is a knave
(4) Aria is a knight
(5) Aiden is a knight
(6) Scarlett is a knave
(7) Mason is a knave

Assume William is a knight. No contradiction is found in their claim that Sofia is not a knight.

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Mason is a knight or Sofia is a knight.

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Aria is a knave or Mason is a knight.

Assume Aiden is a knight. No contradiction is found in their claim that If Elizabeth is a knight then William 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 7 inhabitants: Avery, Penelope, Elizabeth, William, Michael, Victoria, and James. "Victoria is a knave or Elizabeth is a knave," Avery mentioned. Penelope told you that Victoria is a knight. Elizabeth noted, "Michael is a knave". William was heard saying, "Victoria is a knight and William is a knight". In a statement by Michael: "William is a knight if and only if Avery is a knave". Victoria expressed that William is a knave and James is a knave. James expressed that Elizabeth is a knight. So who is a knight and who is a knave?

Avery Penelope Elizabeth William Michael Victoria James

Avery is a knight, Penelope is a knight, Elizabeth is a knave, William is a knave, Michael is a knight, Victoria is a knight, and James is a knave.

(1) Avery is a knight
(2) Penelope is a knight
(3) Elizabeth is a knave
(4) William is a knave
(5) Michael is a knight
(6) Victoria is a knight
(7) James is a knave

Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knave or Elizabeth is a knave.

Assume Victoria is a knight. No contradiction is found in their claim that William is a knave and James is a knave.

William cannot be a knight, because this would contradict the claim of Victoria that William is a knave and James is a knave.

Assume William is a knave. No contradiction is found in their false claim that Victoria is a knight and William is a knight.

James cannot be a knight, because this would contradict the claim of Victoria that William is a knave and James is a knave.

Assume James 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 claim of Avery that Victoria is a knave or Elizabeth is a knave.

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

Assume Michael is a knight. No contradiction is found in their claim that William is a knight if and only if Avery is a knave.

Assume Penelope is a knight. No contradiction is found in their claim that Victoria 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 7 inhabitants: Daniel, Jackson, Ethan, Evelyn, David, Henry, and Charlotte. According to Daniel, "If Charlotte is a knave then Ethan is a knight". In a statement by Jackson: "Daniel is a knave if and only if Henry is a knight". Ethan told you that Charlotte is not a knight. "Jackson is a knave and Charlotte is a knave," Evelyn claimed. As David put it, "Jackson is not a knave". Henry noted, "Charlotte is not a knave". Charlotte stated, "Evelyn is a knave". So who is a knight and who is a knave?

Daniel Jackson Ethan Evelyn David Henry Charlotte

Daniel is a knight, Jackson is a knave, Ethan is a knave, Evelyn is a knave, David is a knave, Henry is a knight, and Charlotte is a knight.

(1) Daniel is a knight
(2) Jackson is a knave
(3) Ethan is a knave
(4) Evelyn is a knave
(5) David is a knave
(6) Henry is a knight
(7) Charlotte is a knight

Assume Daniel is a knight. No contradiction is found in their claim that If Charlotte is a knave then Ethan is a knight.

Assume Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knave.

Evelyn cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Charlotte is a knave.

Assume Evelyn is a knave. No contradiction is found in their false claim that Jackson is a knave and Charlotte is a knave.

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

Henry cannot be a knight, because this would contradict the claim of Jackson that Daniel is a knave if and only if Henry is a knight.

Henry cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.

We have exhausted all possibilities for Henry, so let us go back and reconsider Jackson.

Assume Jackson is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Henry is a knight.

Assume Henry is a knight. No contradiction is found in their claim that Charlotte is not a knave.

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

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

David cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.

Assume David is a knave. No contradiction is found in their false claim that Jackson 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 7 inhabitants: Harper, Aria, Aiden, Benjamin, Jack, Abigail, and Grace. "Abigail is a knave and Aiden is a knave," Harper claimed. Aria said, "If Benjamin is a knight then Abigail is a knight." Aiden expressed that Jack is a knight if and only if Jack is a knave. Benjamin stated, "Grace is a knave or Jack is a knight". Jack expressed that Abigail is a knight or Abigail is a knave. Abigail asserted: "Aria is a knave or Benjamin is a knight". In a statement by Grace: "Benjamin is not a knave". So who is a knight and who is a knave?

Harper Aria Aiden Benjamin Jack Abigail Grace

Harper is a knave, Aria is a knight, Aiden is a knave, Benjamin is a knight, Jack is a knight, Abigail is a knight, and Grace is a knight.

(1) Harper is a knave
(2) Aria is a knight
(3) Aiden is a knave
(4) Benjamin is a knight
(5) Jack is a knight
(6) Abigail is a knight
(7) Grace is a knight

Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knave and Aiden is a knave.

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

Assume Abigail is a knave. No contradiction is found in their false claim that Aria is a knave or Benjamin is a knight.

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

Benjamin cannot be a knight, because this would contradict the claim of Aria that If Benjamin is a knight then Abigail is a knight.

Assume Benjamin is a knave. No contradiction is found in their false claim that Grace is a knave or Jack is a knight.

Grace cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knave.

Grace cannot be a knave, because this would contradict the false claim of Benjamin that Grace is a knave or Jack is a knight.

We have exhausted all possibilities for Grace and Benjamin, so let us go back and reconsider Aria.

Aria cannot be a knave, because this would contradict the false claim of Abigail that Aria is a knave or Benjamin is a knight.

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

Assume Harper is a knave. No contradiction is found in their false claim that Abigail is a knave and Aiden is a knave.

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

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

Assume Grace is a knight. No contradiction is found in their claim that Benjamin is not a knave.

Assume Jack is a knight. No contradiction is found in their claim that Abigail is a knight or Abigail is a knave.

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

Assume Aiden is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Jack 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 7 inhabitants: Evelyn, Isabella, Emma, Michael, Emily, Mia, and Abigail. Evelyn remarked, "Isabella is a knight and Emma is a knave". As Isabella put it, "If Emily is a knave then Abigail is a knave". Emma said, "If Emma is a knight then Emily is a knight." Michael said, "Evelyn is a knight if and only if Isabella is a knight." Emily commented, "If Michael is a knight then Mia is a knave". "Emily is a knight if and only if Emma is a knight," Mia declared. Abigail remarked, "Michael is a knave if and only if Mia is a knave". So who is a knight and who is a knave?

Evelyn Isabella Emma Michael Emily Mia Abigail

Evelyn is a knave, Isabella is a knight, Emma is a knight, Michael is a knave, Emily is a knight, Mia is a knight, and Abigail is a knave.

(1) Evelyn is a knave
(2) Isabella is a knight
(3) Emma is a knight
(4) Michael is a knave
(5) Emily is a knight
(6) Mia is a knight
(7) Abigail is a knave

Assume Evelyn is a knight. No contradiction is found in their claim that Isabella is a knight and Emma is a knave.

Assume Isabella is a knight. No contradiction is found in their claim that If Emily is a knave then Abigail is a knave.

Assume Emily is a knight. No contradiction is found in their claim that If Michael is a knight then Mia is a knave.

Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Isabella is a knight.

Mia cannot be a knight, because this would contradict the claim of Emily that If Michael is a knight then Mia is a knave.

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

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

Emma cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Emily is a knight.

We have exhausted all possibilities for Emma and Mia, so let us go back and reconsider Michael.

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

We have exhausted all possibilities for Michael, so let us go back and reconsider Emily.

Assume Emily is a knave. No contradiction is found in their false claim that If Michael is a knight then Mia is a knave.

Assume Mia is a knight. No contradiction is found in their claim that Emily is a knight if and only if Emma is a knight.

We have exhausted all possibilities for Emma, so let us go back and reconsider Mia.

Mia cannot be a knave, because this would contradict the false claim of Emily that If Michael is a knight then Mia is a knave.

We have exhausted all possibilities for Mia, so let us go back and reconsider Michael.

We have exhausted all possibilities for Michael and Emily, so let us go back and reconsider Isabella.

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

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

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

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

Assume Michael is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Isabella is a knight.

Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Emily is a knight.

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

Assume Abigail is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Mia 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 7 inhabitants: Chloe, Riley, Ella, Emily, Oliver, Penelope, and James. Chloe asserted: "Riley is a knave". Riley commented, "Chloe is a knave and Chloe is a knight". Ella commented, "Chloe is a knave or Riley is a knight". Emily told you that Chloe is a knight. Oliver told you that Riley is a knave. Penelope noted, "James is a knight". James stated, "Ella is a knave and Emily is a knight". So who is a knight and who is a knave?

Chloe Riley Ella Emily Oliver Penelope James

Chloe is a knight, Riley is a knave, Ella is a knave, Emily is a knight, Oliver is a knight, Penelope is a knight, and James is a knight.

(1) Chloe is a knight
(2) Riley is a knave
(3) Ella is a knave
(4) Emily is a knight
(5) Oliver is a knight
(6) Penelope is a knight
(7) James is a knight

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

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their claim that Riley is a knave.

Assume Penelope is a knight. No contradiction is found in their claim that James is a knight.

Assume James is a knight. No contradiction is found in their claim that Ella is a knave and Emily is a knight.

(('lying', 1), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 0), ('lying', 1), ('telling-truth', 6), ('and', ('lying', 2), ('telling-truth', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Joseph, Charlotte, David, Lily, Riley, and Mia. Jackson was heard saying, "Joseph is a knave or Mia is a knight". In a statement by Joseph: "Jackson is not a knave". Charlotte expressed that Lily is a knight and David is a knave. "Mia is a knight," David declared. Lily said, "Charlotte is a knight if and only if Riley is a knave." Riley stated, "Jackson is a knight and Joseph is a knight". Mia was heard saying, "Charlotte is a knave". So who is a knight and who is a knave?

Jackson Joseph Charlotte David Lily Riley Mia

Jackson is a knight, Joseph is a knight, Charlotte is a knave, David is a knight, Lily is a knight, Riley is a knight, and Mia is a knight.

(1) Jackson is a knight
(2) Joseph is a knight
(3) Charlotte is a knave
(4) David is a knight
(5) Lily is a knight
(6) Riley is a knight
(7) Mia is a knight

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Lily is a knight and David is a knave.

Assume Lily is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Riley is a knave.

Assume Riley is a knight. No contradiction is found in their claim that Jackson is a knight and Joseph is a knight.

Assume David is a knight. No contradiction is found in their claim that Mia 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 7 inhabitants: Mason, Ava, William, Oliver, Matthew, Lucas, and Joseph. "If Matthew is a knave then William is a knight," Mason declared. Ava expressed that If Matthew is a knight then Joseph is a knight. William noted, "Joseph is a knave or Lucas is a knight". Oliver said, "Matthew is a knight." In a statement by Matthew: "If Joseph is a knight then Lucas is a knave". Lucas was heard saying, "Joseph is a knight if and only if Ava is a knight". Joseph expressed that Ava is a knight and Oliver is a knight. So who is a knight and who is a knave?

Mason Ava William Oliver Matthew Lucas Joseph

Mason is a knight, Ava is a knave, William is a knight, Oliver is a knight, Matthew is a knight, Lucas is a knight, and Joseph is a knave.

(1) Mason is a knight
(2) Ava is a knave
(3) William is a knight
(4) Oliver is a knight
(5) Matthew is a knight
(6) Lucas is a knight
(7) Joseph is a knave

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

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

Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight and Oliver is a knight.

Assume Ava is a knight. No contradiction is found in their claim that If Matthew is a knight then Joseph is a knight.

Assume Oliver is a knight. No contradiction is found in their claim that Matthew is a knight.

Lucas cannot be a knight, because this would contradict the claim of Matthew that If Joseph is a knight then Lucas is a knave.

Lucas cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight if and only if Ava is a knight.

We have exhausted all possibilities for Lucas, so let us go back and reconsider Oliver.

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

We have exhausted all possibilities for Oliver, so let us go back and reconsider Ava.

Ava cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Joseph is a knight.

We have exhausted all possibilities for Ava, so let us go back and reconsider Joseph.

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

Ava cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Joseph is a knight.

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

Assume Lucas is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Ava is a knight.

Assume William is a knight. No contradiction is found in their claim that Joseph is a knave or Lucas 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 7 inhabitants: James, Aurora, Scarlett, Lily, Abigail, Avery, and Henry. James expressed that Aurora is a knave or Avery is a knave. Aurora remarked, "Abigail is a knave". Scarlett stated, "Abigail is not a knight". Lily noted, "If Avery is a knave then Scarlett is a knight". Abigail expressed that James is not a knight. Avery stated, "Lily is a knave". Henry said, "Scarlett is a knave if and only if Aurora is a knave." So who is a knight and who is a knave?

James Aurora Scarlett Lily Abigail Avery Henry

James is a knight, Aurora is a knight, Scarlett is a knight, Lily is a knight, Abigail is a knave, Avery is a knave, and Henry is a knight.

(1) James is a knight
(2) Aurora is a knight
(3) Scarlett is a knight
(4) Lily is a knight
(5) Abigail is a knave
(6) Avery is a knave
(7) Henry is a knight

Assume James is a knight. No contradiction is found in their claim that Aurora is a knave or Avery is a knave.

Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knave.

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

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

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

Assume Avery is a knave. No contradiction is found in their false claim that Lily is a knave.

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

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

Assume Henry is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Aurora 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 7 inhabitants: Lucas, Matthew, Alexander, Avery, Emily, Michael, and Daniel. In a statement by Lucas: "If Alexander is a knave then Matthew is a knight". Matthew remarked, "If Matthew is a knight then Michael is a knave". Alexander told you that Michael is a knave or Avery is a knave. Avery asserted: "Alexander is a knave and Daniel is a knave". Emily told you that If Avery is a knave then Michael is a knave. According to Michael, "Daniel is a knave or Michael is a knight". Daniel noted, "Alexander is not a knave". So who is a knight and who is a knave?

Lucas Matthew Alexander Avery Emily Michael Daniel

Lucas is a knight, Matthew is a knight, Alexander is a knight, Avery is a knave, Emily is a knight, Michael is a knave, and Daniel is a knight.

(1) Lucas is a knight
(2) Matthew is a knight
(3) Alexander is a knight
(4) Avery is a knave
(5) Emily is a knight
(6) Michael is a knave
(7) Daniel is a knight

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

Assume Alexander is a knight. No contradiction is found in their claim that Michael is a knave or Avery is a knave.

Assume Michael is a knight. No contradiction is found in their claim that Daniel is a knave or Michael is a knight.

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

Avery cannot be a knight, because this would contradict the claim of Alexander that Michael is a knave or Avery is a knave.

Assume Avery is a knave. No contradiction is found in their false claim that Alexander is a knave and Daniel is a knave.

Matthew cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Michael is a knave.

Matthew cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knight then Michael is a knave.

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

Daniel cannot be a knave, because this would contradict the false claim of their own that Alexander is not a knave.

We have exhausted all possibilities for Daniel, so let us go back and reconsider Michael.

Assume Michael is a knave. No contradiction is found in their false claim that Daniel is a knave or Michael is a knight.

Avery cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Daniel is a knave.

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

Assume Emily is a knight. No contradiction is found in their claim that If Avery is a knave then Michael 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 7 inhabitants: Daniel, Harper, Chloe, Emma, Charlotte, Alexander, and Olivia. According to Daniel, "Charlotte is a knave". "Emma is a knave or Charlotte is a knight," Harper mentioned. Chloe stated, "Daniel is not a knave". Emma was heard saying, "Harper is a knight or Chloe is a knave". Charlotte said, "Olivia is a knight." "If Harper is a knight then Olivia is a knave" - Alexander. "Charlotte is a knight if and only if Emma is a knight," Olivia declared. So who is a knight and who is a knave?

Daniel Harper Chloe Emma Charlotte Alexander Olivia

Daniel is a knave, Harper is a knight, Chloe is a knave, Emma is a knight, Charlotte is a knight, Alexander is a knave, and Olivia is a knight.

(1) Daniel is a knave
(2) Harper is a knight
(3) Chloe is a knave
(4) Emma is a knight
(5) Charlotte is a knight
(6) Alexander is a knave
(7) Olivia is a knight

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

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

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

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

Assume Olivia is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Emma is a knight.

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

Harper cannot be a knight, because this would contradict the claim of their own that Emma is a knave or Charlotte is a knight.

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

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

Chloe cannot be a knave, because this would contradict the false claim of their own that Daniel is not a knave.

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

Emma cannot be a knave, because this would contradict the false claim of Olivia that Charlotte is a knight if and only if Emma is a knight.

We have exhausted all possibilities for Emma, Olivia, and Charlotte, so let us go back and reconsider Daniel.

Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knave.

Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knight.

Assume Olivia is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Emma is a knight.

Assume Harper is a knight. No contradiction is found in their claim that Emma is a knave or Charlotte is a knight.

Chloe cannot be a knight, because this would contradict the claim of their own that Daniel is not a knave.

Assume Chloe is a knave. No contradiction is found in their false claim that Daniel is not a knave.

Alexander cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Olivia is a knave.

Assume Alexander is a knave. No contradiction is found in their false claim that If Harper is a knight then Olivia 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 7 inhabitants: Emily, Jackson, Aiden, Liam, Charlotte, Amelia, and Aria. Emily said, "Amelia is a knave or Liam is a knight." Jackson said that Aria is a knave. "Charlotte is a knave and Aria is a knave," Aiden claimed. Liam expressed that Jackson is not a knight. Charlotte said, "Amelia is a knight and Emily is a knight." Amelia noted, "Amelia is a knight". Aria told you that Liam is a knave or Charlotte is a knight. So who is a knight and who is a knave?

Emily Jackson Aiden Liam Charlotte Amelia Aria

Emily is a knight, Jackson is a knave, Aiden is a knave, Liam is a knight, Charlotte is a knight, Amelia is a knight, and Aria is a knight.

(1) Emily is a knight
(2) Jackson is a knave
(3) Aiden is a knave
(4) Liam is a knight
(5) Charlotte is a knight
(6) Amelia is a knight
(7) Aria is a knight

Assume Emily is a knight. No contradiction is found in their claim that Amelia is a knave or Liam is a knight.

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

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Aria is a knave.

Assume Aria is a knight. No contradiction is found in their claim that Liam is a knave or Charlotte is a knight.

Assume Charlotte is a knight. No contradiction is found in their claim that Amelia is a knight and Emily is a knight.

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

Assume Aiden is a knave. No contradiction is found in their false claim that Charlotte is a knave and Aria is a knave.

(('or', ('lying', 5), ('telling-truth', 3)), ('lying', 6), ('and', ('lying', 4), ('lying', 6)), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 5), ('telling-truth', 0)), ('telling-truth', 5), ('or', ('lying', 3), ('telling-truth', 4)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ella, Grace, Elizabeth, Abigail, Joseph, and Benjamin. Zoey remarked, "Benjamin is not a knave". Ella said, "Joseph is a knave or Abigail is a knave." "Elizabeth is a knight and Abigail is a knave" - Grace. In Elizabeth's words: "Benjamin is a knave". Abigail told you that Ella is a knight. Joseph commented, "Ella is a knave and Abigail is a knight". In Benjamin's words: "Abigail is a knave". So who is a knight and who is a knave?

Zoey Ella Grace Elizabeth Abigail Joseph Benjamin

Zoey is a knave, Ella is a knight, Grace is a knave, Elizabeth is a knight, Abigail is a knight, Joseph is a knave, and Benjamin is a knave.

(1) Zoey is a knave
(2) Ella is a knight
(3) Grace is a knave
(4) Elizabeth is a knight
(5) Abigail is a knight
(6) Joseph is a knave
(7) Benjamin is a knave

Assume Zoey is a knight. No contradiction is found in their claim that Benjamin is not a knave.

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

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

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

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

Ella cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave or Abigail is a knave.

We have exhausted all possibilities for Ella and Abigail, so let us go back and reconsider Benjamin.

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

We have exhausted all possibilities for Benjamin, so let us go back and reconsider Zoey.

Assume Zoey is a knave. No contradiction is found in their false claim that Benjamin is not a knave.

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

Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knave.

Assume Abigail is a knight. No contradiction is found in their claim that Ella is a knight.

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

Joseph cannot be a knight, because this would contradict the claim of Ella that Joseph is a knave or Abigail is a knave.

Assume Joseph is a knave. No contradiction is found in their false claim that Ella is a knave and Abigail is a knight.

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Benjamin 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 7 inhabitants: Lily, Joseph, Zoey, Aria, Matthew, Emily, and David. "Aria is a knight if and only if Emily is a knight" - Lily. According to Joseph, "If Lily is a knave then Zoey is a knight". "If Lily is a knave then David is a knave," Zoey mentioned. In a statement by Aria: "David is a knave if and only if David is a knight". "David is a knave and Joseph is a knave," Matthew declared. Emily noted, "David is a knave". "Emily is a knave and Emily is a knight" - David. So who is a knight and who is a knave?

Lily Joseph Zoey Aria Matthew Emily David

Lily is a knave, Joseph is a knight, Zoey is a knight, Aria is a knave, Matthew is a knave, Emily is a knight, and David is a knave.

(1) Lily is a knave
(2) Joseph is a knight
(3) Zoey is a knight
(4) Aria is a knave
(5) Matthew is a knave
(6) Emily is a knight
(7) David is a knave

Assume Lily is a knight. No contradiction is found in their claim that Aria is a knight if and only if Emily is a knight.

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

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

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

Assume David is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.

Emily cannot be a knight, because this would contradict the claim of Lily that Aria is a knight if and only if Emily is a knight.

Emily cannot be a knave, because this would contradict the false claim of their own that David is a knave.

We have exhausted all possibilities for Emily, David, and Aria, so let us go back and reconsider Lily.

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

Assume Emily is a knight. No contradiction is found in their claim that David is a knave.

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

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that David is a knave and Joseph 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 7 inhabitants: Mia, Daniel, William, Scarlett, Luke, Mason, and Liam. "Liam is a knight" - Mia. Daniel was heard saying, "Luke is a knave and William is a knave". William was heard saying, "Luke is a knave if and only if Scarlett is a knight". "Luke is a knave," Scarlett declared. Luke said, "Liam is a knave." Mason remarked, "Daniel is a knave if and only if Liam is a knave". "If Mia is a knave then Scarlett is a knave," Liam mentioned. So who is a knight and who is a knave?

Mia Daniel William Scarlett Luke Mason Liam

Mia is a knight, Daniel is a knave, William is a knight, Scarlett is a knight, Luke is a knave, Mason is a knave, and Liam is a knight.

(1) Mia is a knight
(2) Daniel is a knave
(3) William is a knight
(4) Scarlett is a knight
(5) Luke is a knave
(6) Mason is a knave
(7) Liam is a knight

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

Assume Liam is a knight. No contradiction is found in their claim that If Mia is a knave then Scarlett is a knave.

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Luke is a knave and William is a knave.

William cannot be a knight, because this would contradict the claim of Daniel that Luke is a knave and William is a knave.

William cannot be a knave, because this would contradict the false claim of their own that Luke is a knave if and only if Scarlett is a knight.

We have exhausted all possibilities for William, so let us go back and reconsider Daniel.

Assume Daniel is a knave. No contradiction is found in their false claim that Luke is a knave and William is a knave.

Assume William is a knight. No contradiction is found in their claim that Luke is a knave if and only if Scarlett is a knight.

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

Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Liam 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 7 inhabitants: David, Owen, Chloe, Jackson, Ava, Riley, and Sofia. "Owen is a knave," David mentioned. Owen noted, "Chloe is a knave or Riley is a knave". "If Sofia is a knave then David is a knave," Chloe mentioned. In a statement by Jackson: "Riley is a knave". Ava said, "Owen is a knave." "Jackson is a knight or Chloe is a knight," Riley declared. Sofia remarked, "Owen is a knave and David is a knight". So who is a knight and who is a knave?

David Owen Chloe Jackson Ava Riley Sofia

David is a knight, Owen is a knave, Chloe is a knight, Jackson is a knave, Ava is a knight, Riley is a knight, and Sofia is a knight.

(1) David is a knight
(2) Owen is a knave
(3) Chloe is a knight
(4) Jackson is a knave
(5) Ava is a knight
(6) Riley is a knight
(7) Sofia is a knight

Assume David is a knight. No contradiction is found in their claim that Owen is a knave.

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

Assume Owen is a knave. No contradiction is found in their false claim that Chloe is a knave or Riley is a knave.

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

Assume Sofia is a knight. No contradiction is found in their claim that Owen is a knave and David is a knight.

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Riley is a knave.

Assume Ava is a knight. No contradiction is found in their claim that Owen 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 7 inhabitants: Lucas, Samuel, Alexander, Lily, Mia, Ella, and David. Lucas commented, "David is a knight and Ella is a knight". As Samuel put it, "Lucas is a knight if and only if Samuel is a knight". Alexander stated, "Mia is a knight if and only if Ella is a knave". In a statement by Lily: "Ella is a knave and Alexander is a knight". According to Mia, "Lily is a knave if and only if Samuel is a knight". Ella noted, "If Ella is a knight then Mia is a knight". In a statement by David: "Ella is a knight or Alexander is a knight". So who is a knight and who is a knave?

Lucas Samuel Alexander Lily Mia Ella David

Lucas is a knight, Samuel is a knight, Alexander is a knave, Lily is a knave, Mia is a knight, Ella is a knight, and David is a knight.

(1) Lucas is a knight
(2) Samuel is a knight
(3) Alexander is a knave
(4) Lily is a knave
(5) Mia is a knight
(6) Ella is a knight
(7) David is a knight

Assume Lucas is a knight. No contradiction is found in their claim that David is a knight and Ella is a knight.

Assume David is a knight. No contradiction is found in their claim that Ella is a knight or Alexander is a knight.

Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Mia is a knight.

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

Lily cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Alexander is a knight.

Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knave and Alexander is a knight.

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

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

Assume Samuel is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Samuel 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 7 inhabitants: Joseph, Evelyn, Olivia, Avery, Owen, Lucas, and Riley. In Joseph's words: "Owen is a knight". Evelyn expressed that Avery is a knave. In Olivia's words: "Evelyn is a knave if and only if Avery is a knight". Avery expressed that If Olivia is a knight then Owen is a knave. Owen said that If Joseph is a knave then Riley is a knight. Lucas asserted: "Owen is not a knight". Riley said that Joseph is not a knight. So who is a knight and who is a knave?

Joseph Evelyn Olivia Avery Owen Lucas Riley

Joseph is a knight, Evelyn is a knight, Olivia is a knight, Avery is a knave, Owen is a knight, Lucas is a knave, and Riley is a knave.

(1) Joseph is a knight
(2) Evelyn is a knight
(3) Olivia is a knight
(4) Avery is a knave
(5) Owen is a knight
(6) Lucas is a knave
(7) Riley is a knave

Assume Joseph is a knight. No contradiction is found in their claim that Owen is a knight.

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knave.

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

Assume Avery is a knave. No contradiction is found in their false claim that If Olivia is a knight then Owen is a knave.

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

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

Assume Lucas is a knave. No contradiction is found in their false claim that Owen 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 7 inhabitants: Sebastian, Daniel, Lily, William, Aurora, Riley, and Oliver. Sebastian commented, "Oliver is a knight". As Daniel put it, "Riley is a knight if and only if Lily is a knight". Lily said, "If Sebastian is a knave then William is a knave." "Lily is a knave if and only if Oliver is a knave," William declared. Aurora was heard saying, "Oliver is not a knave". Riley remarked, "If Riley is a knight then William is a knight". In Oliver's words: "William is not a knave". So who is a knight and who is a knave?

Sebastian Daniel Lily William Aurora Riley Oliver

Sebastian is a knight, Daniel is a knight, Lily is a knight, William is a knight, Aurora is a knight, Riley is a knight, and Oliver is a knight.

(1) Sebastian is a knight
(2) Daniel is a knight
(3) Lily is a knight
(4) William is a knight
(5) Aurora is a knight
(6) Riley is a knight
(7) Oliver is a knight

Assume Sebastian is a knight. No contradiction is found in their claim that Oliver is a knight.

Assume Oliver is a knight. No contradiction is found in their claim that William is not a knave.

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Riley is a knight if and only if Lily is a knight.

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

Assume Aurora is a knight. No contradiction is found in their claim that Oliver 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 7 inhabitants: Emily, Isabella, Samuel, Victoria, Chloe, Zoey, and Matthew. Emily told you that Isabella is a knight and Samuel is a knight. "Zoey is not a knave," Isabella claimed. Samuel noted, "Emily is a knave". Victoria said that Chloe is not a knave. As Chloe put it, "Emily is not a knight". According to Zoey, "Chloe is a knight and Victoria is a knave". "Zoey is not a knight" - Matthew. So who is a knight and who is a knave?

Emily Isabella Samuel Victoria Chloe Zoey Matthew

Emily is a knave, Isabella is a knave, Samuel is a knight, Victoria is a knight, Chloe is a knight, Zoey is a knave, and Matthew is a knight.

(1) Emily is a knave
(2) Isabella is a knave
(3) Samuel is a knight
(4) Victoria is a knight
(5) Chloe is a knight
(6) Zoey is a knave
(7) Matthew is a knight

Assume Emily is a knight. No contradiction is found in their claim that Isabella is a knight and Samuel is a knight.

Assume Isabella is a knight. No contradiction is found in their claim that Zoey is not a knave.

Assume Zoey is a knight. No contradiction is found in their claim that Chloe is a knight and Victoria is a knave.

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

Chloe cannot be a knave, because this would contradict the claim of Zoey that Chloe is a knight and Victoria is a knave.

We have exhausted all possibilities for Chloe, so let us go back and reconsider Zoey.

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

We have exhausted all possibilities for Zoey, so let us go back and reconsider Isabella.

Isabella cannot be a knave, because this would contradict the claim of Emily that Isabella is a knight and Samuel is a knight.

We have exhausted all possibilities for Isabella, so let us go back and reconsider Emily.

Assume Emily is a knave. No contradiction is found in their false claim that Isabella is a knight and Samuel is a knight.

Assume Chloe is a knight. No contradiction is found in their claim that Emily is not a knight.

Victoria cannot be a knight, because this would contradict the claim of Zoey that Chloe is a knight and Victoria is a knave.

Victoria cannot be a knave, because this would contradict the false claim of their own that Chloe is not a knave.

We have exhausted all possibilities for Victoria, so let us go back and reconsider Chloe.

Chloe cannot be a knave, because this would contradict the false claim of their own that Emily is not a knight.

Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is not a knave.

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

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

Assume Victoria is a knight. No contradiction is found in their claim that Chloe is not a knave.

Assume Samuel is a knight. No contradiction is found in their claim that Emily is a knave.

Assume Matthew is a knight. No contradiction is found in their claim that Zoey 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 7 inhabitants: Isabella, Owen, Emma, Avery, Lily, Ella, and Riley. In a statement by Isabella: "Ella is a knave". Owen said that Ella is not a knight. Emma told you that Lily is a knight or Isabella is a knave. Avery expressed that Owen is a knave and Ella is a knight. Lily commented, "Lily is a knight and Avery is a knight". Ella said, "Avery is a knave or Lily is a knave." "Isabella is a knave and Ella is a knight," Riley mentioned. So who is a knight and who is a knave?

Isabella Owen Emma Avery Lily Ella Riley

Isabella is a knave, Owen is a knave, Emma is a knight, Avery is a knight, Lily is a knave, Ella is a knight, and Riley is a knight.

(1) Isabella is a knave
(2) Owen is a knave
(3) Emma is a knight
(4) Avery is a knight
(5) Lily is a knave
(6) Ella is a knight
(7) Riley is a knight

Assume Isabella is a knight. No contradiction is found in their claim that Ella is a knave.

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

Assume Ella is a knave. No contradiction is found in their false claim that Avery is a knave or Lily is a knave.

Avery cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Ella is a knight.

Avery cannot be a knave, because this would contradict the false claim of Ella that Avery is a knave or Lily is a knave.

We have exhausted all possibilities for Avery and Ella, so let us go back and reconsider Isabella.

Assume Isabella is a knave. No contradiction is found in their false claim that Ella is a knave.

Assume Ella is a knight. No contradiction is found in their claim that Avery is a knave or Lily is a knave.

Assume Avery is a knight. No contradiction is found in their claim that Owen is a knave and Ella is a knight.

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

Assume Owen is a knave. No contradiction is found in their false claim that Ella is not a knight.

Lily cannot be a knight, because this would contradict the claim of Ella that Avery is a knave or Lily is a knave.

Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight and Avery is a knight.

Assume Emma is a knight. No contradiction is found in their claim that Lily is a knight or Isabella is a knave.

Assume Riley is a knight. No contradiction is found in their claim that Isabella is a knave and Ella 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 7 inhabitants: Lucas, Riley, Isabella, Joseph, Harper, James, and Liam. "Liam is a knight or Lucas is a knight" - Lucas. "James is a knight if and only if James is a knave," Riley mentioned. According to Isabella, "If Isabella is a knight then Harper is a knight". In a statement by Joseph: "If Liam is a knight then Isabella is a knight". "If Isabella is a knave then Joseph is a knave," Harper declared. James expressed that Harper is a knave if and only if Liam is a knave. In a statement by Liam: "If Joseph is a knave then Riley is a knight". So who is a knight and who is a knave?

Lucas Riley Isabella Joseph Harper James Liam

Lucas is a knight, Riley is a knave, Isabella is a knight, Joseph is a knight, Harper is a knight, James is a knight, and Liam is a knight.

(1) Lucas is a knight
(2) Riley is a knave
(3) Isabella is a knight
(4) Joseph is a knight
(5) Harper is a knight
(6) James is a knight
(7) Liam is a knight

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

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

Assume Joseph is a knight. No contradiction is found in their claim that If Liam is a knight then Isabella is a knight.

Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Harper is a knight.

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

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

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

Assume James is a knight. No contradiction is found in their claim that Harper is a knave if and only if Liam 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 7 inhabitants: Ethan, Evelyn, Samuel, Noah, Sofia, Jack, and Charlotte. In Ethan's words: "Samuel is a knight if and only if Jack is a knave". In Evelyn's words: "Charlotte is a knight if and only if Charlotte is a knave". Samuel was heard saying, "Jack is a knave if and only if Charlotte is a knight". Noah commented, "Charlotte is a knight". Sofia commented, "Evelyn is not a knight". Jack noted, "Samuel is a knave". "Noah is a knight and Jack is a knave" - Charlotte. So who is a knight and who is a knave?

Ethan Evelyn Samuel Noah Sofia Jack Charlotte

Ethan is a knight, Evelyn is a knave, Samuel is a knight, Noah is a knight, Sofia is a knight, Jack is a knave, and Charlotte is a knight.

(1) Ethan is a knight
(2) Evelyn is a knave
(3) Samuel is a knight
(4) Noah is a knight
(5) Sofia is a knight
(6) Jack is a knave
(7) Charlotte is a knight

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Samuel is a knave.

Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knight and Jack is a knave.

Assume Noah is a knight. No contradiction is found in their claim that Charlotte is a knight.

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Evelyn is not a knight.