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, Sebastian, Grace, Jack, Aiden, David, and Abigail. "Jack is a knave if and only if Aiden is a knight" - Mia. In a statement by Sebastian: "Abigail is a knight if and only if Aiden is a knave". Grace stated, "Jack is a knight". Jack expressed that If Aiden is a knight then Mia is a knave. "Mia is a knight if and only if David is a knave" - Aiden. David stated, "Sebastian is a knight". Abigail expressed that Grace is not a knave. So who is a knight and who is a knave?

Mia Sebastian Grace Jack Aiden David Abigail

Mia is a knight, Sebastian is a knight, Grace is a knight, Jack is a knight, Aiden is a knave, David is a knight, and Abigail is a knight.

(1) Mia is a knight
(2) Sebastian is a knight
(3) Grace is a knight
(4) Jack is a knight
(5) Aiden is a knave
(6) David is a knight
(7) Abigail is a knight

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

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

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

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

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

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

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

Assume Grace is a knight. No contradiction is found in their claim that 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: Amelia, Emma, Victoria, Scarlett, Owen, Mason, and Daniel. Amelia stated, "Emma is not a knave". "Mason is a knave or Owen is a knight" - Emma. In a statement by Victoria: "Scarlett is a knave and Emma is a knight". Scarlett commented, "Amelia is a knave and Amelia is a knight". Owen told you that Amelia is a knave or Daniel is a knave. As Mason put it, "If Amelia is a knave then Emma is a knight". In Daniel's words: "Daniel is a knight and Mason is a knave". So who is a knight and who is a knave?

Amelia Emma Victoria Scarlett Owen Mason Daniel

Amelia is a knight, Emma is a knight, Victoria is a knight, Scarlett is a knave, Owen is a knight, Mason is a knight, and Daniel is a knave.

(1) Amelia is a knight
(2) Emma is a knight
(3) Victoria is a knight
(4) Scarlett is a knave
(5) Owen is a knight
(6) Mason is a knight
(7) Daniel is a knave

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

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

Assume Emma is a knight. No contradiction is found in their claim that Mason is a knave or Owen is a knight.

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that Scarlett is a knave and Emma is a knight.

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Amelia is a knave and Amelia 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, Alexander, Victoria, Sebastian, Jack, Samuel, and James. "Samuel is a knight or Sebastian is a knave," Mason claimed. "Victoria is a knave and Mason is a knave," Alexander mentioned. "Samuel is a knight and James is a knave," Victoria mentioned. "Jack is a knave," Sebastian declared. Jack remarked, "Samuel is a knight". Samuel commented, "Jack is a knave or James is a knight". "If Samuel is a knight then Victoria is a knave" - James. So who is a knight and who is a knave?

Mason Alexander Victoria Sebastian Jack Samuel James

Mason is a knight, Alexander is a knave, Victoria is a knave, Sebastian is a knave, Jack is a knight, Samuel is a knight, and James is a knight.

(1) Mason is a knight
(2) Alexander is a knave
(3) Victoria is a knave
(4) Sebastian is a knave
(5) Jack is a knight
(6) Samuel is a knight
(7) James is a knight

Assume Mason is a knight. No contradiction is found in their claim that Samuel is a knight or Sebastian is a knave.

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

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

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

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

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

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

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is a knave and Mason 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: Emma, Penelope, Oliver, Joseph, Jackson, Zoey, and Isabella. Emma told you that Jackson is a knave if and only if Zoey is a knight. "Oliver is a knight," Penelope mentioned. Oliver expressed that Penelope is a knave if and only if Emma is a knave. Joseph told you that Emma is a knave or Oliver is a knave. "If Oliver is a knight then Emma is a knave" - Jackson. Zoey noted, "Emma is not a knight". Isabella asserted: "Zoey is a knight and Joseph is a knight". So who is a knight and who is a knave?

Emma Penelope Oliver Joseph Jackson Zoey Isabella

Emma is a knight, Penelope is a knave, Oliver is a knave, Joseph is a knight, Jackson is a knight, Zoey is a knave, and Isabella is a knave.

(1) Emma is a knight
(2) Penelope is a knave
(3) Oliver is a knave
(4) Joseph is a knight
(5) Jackson is a knight
(6) Zoey is a knave
(7) Isabella is a knave

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

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

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

Assume Oliver is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Emma is a knave.

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

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

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

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

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

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

Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is a knight and Joseph 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: Noah, Emma, Lucas, Avery, Olivia, Luke, and Victoria. In a statement by Noah: "Luke is a knight". Emma commented, "Lucas is a knight if and only if Lucas is a knave". In a statement by Lucas: "Olivia is a knave". Avery remarked, "If Noah is a knight then Luke is a knave". Olivia asserted: "Emma is a knight". "Victoria is a knave and Olivia is a knave," Luke mentioned. Victoria said, "If Noah is a knave then Lucas is a knight." So who is a knight and who is a knave?

Noah Emma Lucas Avery Olivia Luke Victoria

Noah is a knave, Emma is a knave, Lucas is a knight, Avery is a knight, Olivia is a knave, Luke is a knave, and Victoria is a knight.

(1) Noah is a knave
(2) Emma is a knave
(3) Lucas is a knight
(4) Avery is a knight
(5) Olivia is a knave
(6) Luke is a knave
(7) Victoria is a knight

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

Assume Luke is a knight. No contradiction is found in their claim that Victoria is a knave and Olivia is a knave.

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

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

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

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

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

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

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

Assume Luke is a knave. No contradiction is found in their false claim that Victoria is a knave and Olivia is a knave.

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

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

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

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

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

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

Assume Avery is a knight. No contradiction is found in their claim that If Noah 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: David, Evelyn, Jacob, James, Lucas, Jackson, and Elizabeth. According to David, "Lucas is a knight if and only if Jacob is a knave". Evelyn said that If Evelyn is a knight then Jacob is a knight. Jacob was heard saying, "Jacob is a knight". According to James, "Jackson is a knave and Elizabeth is a knight". Lucas said that James is not a knight. According to Jackson, "James is a knight if and only if Elizabeth is a knight". Elizabeth stated, "Lucas is a knave and James is a knave". So who is a knight and who is a knave?

David Evelyn Jacob James Lucas Jackson Elizabeth

David is a knave, Evelyn is a knight, Jacob is a knight, James is a knave, Lucas is a knight, Jackson is a knight, and Elizabeth is a knave.

(1) David is a knave
(2) Evelyn is a knight
(3) Jacob is a knight
(4) James is a knave
(5) Lucas is a knight
(6) Jackson is a knight
(7) Elizabeth is a knave

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

Assume Lucas 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 Lucas that James is not a knight.

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Lucas is a knave and James is a knave.

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

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

Evelyn cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Jacob is a knight.

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that Jackson is a knave and Elizabeth is a knight.

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

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

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

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

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

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jacob 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: Abigail, Zoey, Grace, Penelope, Jacob, Emma, and Logan. Abigail was heard saying, "Penelope is a knave or Logan is a knight". In Zoey's words: "Abigail is a knight and Grace is a knave". Grace expressed that If Abigail is a knave then Penelope is a knave. Penelope expressed that Abigail is not a knight. In Jacob's words: "Zoey is a knave if and only if Abigail is a knave". Emma stated, "Zoey is a knave and Penelope is a knight". In a statement by Logan: "Grace is a knave if and only if Abigail is a knave". So who is a knight and who is a knave?

Abigail Zoey Grace Penelope Jacob Emma Logan

Abigail is a knight, Zoey is a knave, Grace is a knight, Penelope is a knave, Jacob is a knave, Emma is a knave, and Logan is a knight.

(1) Abigail is a knight
(2) Zoey is a knave
(3) Grace is a knight
(4) Penelope is a knave
(5) Jacob is a knave
(6) Emma is a knave
(7) Logan is a knight

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

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Abigail is a knave.

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

Assume Emma is a knave. No contradiction is found in their false claim that Zoey is a knave and Penelope 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: Elizabeth, Scarlett, Ava, Daniel, Henry, Jack, and Penelope. Elizabeth told you that Henry is not a knave. Scarlett said that If Jack is a knave then Penelope is a knight. As Ava put it, "Elizabeth is a knight or Elizabeth is a knave". Daniel stated, "Henry is a knight if and only if Elizabeth is a knave". In a statement by Henry: "Daniel is a knight". Jack commented, "Henry is a knave or Elizabeth is a knave". "Henry is a knight and Daniel is a knave," Penelope declared. So who is a knight and who is a knave?

Elizabeth Scarlett Ava Daniel Henry Jack Penelope

Elizabeth is a knave, Scarlett is a knight, Ava is a knight, Daniel is a knave, Henry is a knave, Jack is a knight, and Penelope is a knave.

(1) Elizabeth is a knave
(2) Scarlett is a knight
(3) Ava is a knight
(4) Daniel is a knave
(5) Henry is a knave
(6) Jack is a knight
(7) Penelope is a knave

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Henry is not a knave.

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

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

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

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

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

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

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

Assume Ava is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth 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: Amelia, Scarlett, James, Owen, Lucas, Jacob, and Lily. In Amelia's words: "Scarlett is a knave and James is a knight". Scarlett expressed that If Amelia is a knave then Owen is a knight. James commented, "Lily is a knave". In a statement by Owen: "If Owen is a knight then Lily is a knight". Lucas was heard saying, "If Owen is a knight then Owen is a knave". Jacob asserted: "If Scarlett is a knight then Lily is a knight". Lily commented, "Amelia is a knight if and only if Owen is a knave". So who is a knight and who is a knave?

Amelia Scarlett James Owen Lucas Jacob Lily

Amelia is a knave, Scarlett is a knight, James is a knave, Owen is a knight, Lucas is a knave, Jacob is a knight, and Lily is a knight.

(1) Amelia is a knave
(2) Scarlett is a knight
(3) James is a knave
(4) Owen is a knight
(5) Lucas is a knave
(6) Jacob is a knight
(7) Lily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that If Scarlett is a knight then Lily 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: Riley, Samuel, Alexander, Sofia, Scarlett, James, and Ethan. "Sofia is not a knight," Riley declared. Samuel asserted: "Sofia is a knight". Alexander said, "Ethan is a knave and Riley is a knave." Sofia said, "Alexander is a knight if and only if James is a knight." Scarlett said, "Samuel is a knight if and only if James is a knave." James commented, "Riley is a knight if and only if Ethan is a knave". As Ethan put it, "Scarlett is a knave if and only if Riley is a knight". So who is a knight and who is a knave?

Riley Samuel Alexander Sofia Scarlett James Ethan

Riley is a knight, Samuel is a knave, Alexander is a knave, Sofia is a knave, Scarlett is a knight, James is a knight, and Ethan is a knave.

(1) Riley is a knight
(2) Samuel is a knave
(3) Alexander is a knave
(4) Sofia is a knave
(5) Scarlett is a knight
(6) James is a knight
(7) Ethan is a knave

Assume Riley 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 Riley that Sofia is not a knight.

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Ethan is a knave and Riley is a knave.

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

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

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that Riley is a knight if and only if 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: Ethan, Elizabeth, Abigail, Matthew, Ella, Ava, and Penelope. Ethan said, "Ella is a knight." Elizabeth told you that Abigail is a knight if and only if Abigail is a knave. According to Abigail, "Ella is a knight if and only if Abigail is a knight". Matthew was heard saying, "Abigail is a knight if and only if Matthew is a knight". As Ella put it, "Matthew is a knave or Elizabeth is a knight". "Elizabeth is a knight and Penelope is a knave" - Ava. Penelope was heard saying, "Matthew is not a knight". So who is a knight and who is a knave?

Ethan Elizabeth Abigail Matthew Ella Ava Penelope

Ethan is a knight, Elizabeth is a knave, Abigail is a knight, Matthew is a knave, Ella is a knight, Ava is a knave, and Penelope is a knight.

(1) Ethan is a knight
(2) Elizabeth is a knave
(3) Abigail is a knight
(4) Matthew is a knave
(5) Ella is a knight
(6) Ava is a knave
(7) Penelope is a knight

Assume Ethan 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 Matthew is a knave or Elizabeth is a knight.

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope is a knight. No contradiction is found in their claim that Matthew 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: Ella, Lily, Sophia, Chloe, Benjamin, Sofia, and Aria. In Ella's words: "If Sophia is a knight then Benjamin is a knave". According to Lily, "Ella is not a knave". According to Sophia, "If Sofia is a knave then Aria is a knave". Chloe told you that Benjamin is not a knave. Benjamin stated, "Lily is a knight if and only if Ella is a knave". Sofia noted, "Aria is a knight and Ella is a knave". Aria said, "Benjamin is a knave and Ella is a knight." So who is a knight and who is a knave?

Ella Lily Sophia Chloe Benjamin Sofia Aria

Ella is a knight, Lily is a knight, Sophia is a knave, Chloe is a knave, Benjamin is a knave, Sofia is a knave, and Aria is a knight.

(1) Ella is a knight
(2) Lily is a knight
(3) Sophia is a knave
(4) Chloe is a knave
(5) Benjamin is a knave
(6) Sofia is a knave
(7) Aria is a knight

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

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

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

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

Aria cannot be a knight, because this would contradict the claim of Sophia that If Sofia is a knave then Aria is a knave.

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin 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: Aria, Penelope, Emily, Aurora, Amelia, Henry, and Sophia. "Aurora is not a knave" - Aria. "Aria is a knave," Penelope claimed. Emily commented, "Aria is not a knight". Aurora asserted: "Amelia is a knight and Henry is a knight". Amelia was heard saying, "Aurora is a knave and Aria is a knight". Henry remarked, "If Aurora is a knight then Sophia is a knight". Sophia commented, "If Penelope is a knight then Penelope is a knave". So who is a knight and who is a knave?

Aria Penelope Emily Aurora Amelia Henry Sophia

Aria is a knave, Penelope is a knight, Emily is a knight, Aurora is a knave, Amelia is a knave, Henry is a knight, and Sophia is a knave.

(1) Aria is a knave
(2) Penelope is a knight
(3) Emily is a knight
(4) Aurora is a knave
(5) Amelia is a knave
(6) Henry is a knight
(7) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that If Aurora is a knight then Sophia is a knight.

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

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

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

We have exhausted all possibilities for Penelope, so let us go back and reconsider Sophia.

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

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

Assume Emily is a knight. No contradiction is found in their claim that Aria 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: Abigail, Oliver, Sophia, William, Grace, Jack, and Sebastian. Abigail asserted: "Jack is a knight or Oliver is a knight". Oliver stated, "Sebastian is a knight and Sophia is a knight". Sophia noted, "William is a knave and Jack is a knave". As William put it, "If Sebastian is a knave then Oliver is a knight". "Sebastian is a knave" - Grace. Jack commented, "Grace is a knave and William is a knave". Sebastian remarked, "Abigail is a knave". So who is a knight and who is a knave?

Abigail Oliver Sophia William Grace Jack Sebastian

Abigail is a knave, Oliver is a knave, Sophia is a knave, William is a knight, Grace is a knave, Jack is a knave, and Sebastian is a knight.

(1) Abigail is a knave
(2) Oliver is a knave
(3) Sophia is a knave
(4) William is a knight
(5) Grace is a knave
(6) Jack is a knave
(7) Sebastian is a knight

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

Assume Jack is a knight. No contradiction is found in their claim that Grace is a knave and William is a knave.

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

Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave.

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Grace is a knave and William is a knave.

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

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

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

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

Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sophia is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

Sophia cannot be a knight, because this would contradict the false claim of Oliver that Sebastian is a knight and Sophia is a knight.

Assume Sophia is a knave. No contradiction is found in their false claim that William is a knave and 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: Luke, Isabella, Elizabeth, Mason, Ethan, Scarlett, and Aurora. Luke noted, "Scarlett is a knave and Ethan is a knight". Isabella said that If Aurora is a knight then Mason is a knave. Elizabeth was heard saying, "Ethan is a knight". Mason asserted: "Isabella is a knave and Aurora is a knave". Ethan commented, "If Aurora is a knight then Mason is a knave". Scarlett said that If Aurora is a knave then Ethan is a knave. According to Aurora, "Mason is a knave or Isabella is a knight". So who is a knight and who is a knave?

Luke Isabella Elizabeth Mason Ethan Scarlett Aurora

Luke is a knave, Isabella is a knight, Elizabeth is a knight, Mason is a knave, Ethan is a knight, Scarlett is a knight, and Aurora is a knight.

(1) Luke is a knave
(2) Isabella is a knight
(3) Elizabeth is a knight
(4) Mason is a knave
(5) Ethan is a knight
(6) Scarlett is a knight
(7) Aurora is a knight

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that If Aurora is a knave then Ethan is a knave.

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

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

Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knave and Aurora is a knave.

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that Mason is a knave or Isabella is a knight.

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

Assume Mason is a knave. No contradiction is found in their false claim that Isabella is a knave and Aurora is a knave.

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Ethan 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: Sofia, Chloe, Lucas, Amelia, Victoria, Emily, and Aurora. "Chloe is a knight or Emily is a knave" - Sofia. As Chloe put it, "If Aurora is a knave then Amelia is a knave". Lucas was heard saying, "If Chloe is a knight then Chloe is a knave". In Amelia's words: "If Sofia is a knight then Victoria is a knave". Victoria asserted: "If Chloe is a knight then Sofia is a knight". Emily expressed that Lucas is a knight if and only if Amelia is a knave. Aurora told you that If Sofia is a knight then Emily is a knight. So who is a knight and who is a knave?

Sofia Chloe Lucas Amelia Victoria Emily Aurora

Sofia is a knight, Chloe is a knight, Lucas is a knave, Amelia is a knave, Victoria is a knight, Emily is a knave, and Aurora is a knave.

(1) Sofia is a knight
(2) Chloe is a knight
(3) Lucas is a knave
(4) Amelia is a knave
(5) Victoria is a knight
(6) Emily is a knave
(7) Aurora is a knave

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

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

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

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

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

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

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

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

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

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

Amelia cannot be a knave, because this would contradict the claim of Emily that Lucas is a knight if and only if Amelia is a knave.

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

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

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

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

Emily cannot be a knight, because this would contradict the false claim of Aurora that If Sofia is a knight then Emily is a knight.

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that If Chloe is a knight then Sofia 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, William, Aurora, Daniel, Samuel, Ethan, and Chloe. Mason remarked, "Samuel is a knave". In a statement by William: "If Chloe is a knave then Ethan is a knave". "William is a knight and Ethan is a knave" - Aurora. Daniel commented, "If Mason is a knight then Samuel is a knave". Samuel asserted: "Chloe is a knave and Ethan is a knight". "Samuel is a knight," Ethan claimed. Chloe said, "William is a knave if and only if Aurora is a knave." So who is a knight and who is a knave?

Mason William Aurora Daniel Samuel Ethan Chloe

Mason is a knight, William is a knight, Aurora is a knight, Daniel is a knight, Samuel is a knave, Ethan is a knave, and Chloe is a knight.

(1) Mason is a knight
(2) William is a knight
(3) Aurora is a knight
(4) Daniel is a knight
(5) Samuel is a knave
(6) Ethan is a knave
(7) Chloe is a knight

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that William is a knight and Ethan is a knave.

Assume Daniel is a knight. No contradiction is found in their claim that If Mason is a knight then Samuel 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, Lucas, Sebastian, Emma, Jack, Liam, and James. Daniel expressed that Emma is a knight if and only if James is a knave. Lucas noted, "If Lucas is a knight then Emma is a knave". As Sebastian put it, "Jack is a knave if and only if Lucas is a knight". According to Emma, "Sebastian is a knave". Jack asserted: "James is a knight". Liam expressed that Lucas is not a knight. James expressed that Lucas is a knave and Daniel is a knight. So who is a knight and who is a knave?

Daniel Lucas Sebastian Emma Jack Liam James

Daniel is a knave, Lucas is a knight, Sebastian is a knight, Emma is a knave, Jack is a knave, Liam is a knave, and James is a knave.

(1) Daniel is a knave
(2) Lucas is a knight
(3) Sebastian is a knight
(4) Emma is a knave
(5) Jack is a knave
(6) Liam is a knave
(7) James is a knave

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

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

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

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

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

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

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

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

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

Assume James is a knave. No contradiction is found in their false claim that Lucas is a knave and Daniel is a knight.

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

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

We have exhausted all possibilities for Lucas, James, Jack, and Sebastian, so let us go back and reconsider Emma.

Assume Emma is a knave. No contradiction is found in their false claim that Sebastian is a knave.

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

Assume James is a knight. No contradiction is found in their claim that Lucas is a knave and Daniel is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Lucas 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: Lucas, Ava, Avery, Ethan, Noah, Chloe, and Jackson. Lucas expressed that Noah is not a knave. Ava commented, "Noah is not a knave". In a statement by Avery: "Lucas is a knight if and only if Lucas is a knave". Ethan noted, "Lucas is not a knave". Noah said that If Avery is a knight then Chloe is a knave. Chloe noted, "Noah is a knave and Avery is a knave". "Chloe is a knight or Ethan is a knight," Jackson claimed. So who is a knight and who is a knave?

Lucas Ava Avery Ethan Noah Chloe Jackson

Lucas is a knight, Ava is a knight, Avery is a knave, Ethan is a knight, Noah is a knight, Chloe is a knave, and Jackson is a knight.

(1) Lucas is a knight
(2) Ava is a knight
(3) Avery is a knave
(4) Ethan is a knight
(5) Noah is a knight
(6) Chloe is a knave
(7) Jackson is a knight

Assume Lucas is a knight. No contradiction is found in their claim that Noah is not a knave.

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Noah is a knave and Avery is a knave.

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

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

Assume Jackson is a knight. No contradiction is found in their claim that Chloe is a knight or Ethan 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, Noah, Amelia, Alexander, Riley, Emily, and Zoey. As Mason put it, "Mason is a knight and Alexander is a knight". Noah asserted: "Riley is a knave if and only if Noah is a knight". Amelia stated, "Noah is a knave if and only if Alexander is a knight". In Alexander's words: "If Zoey is a knight then Mason is a knight". Riley commented, "Mason is a knave or Amelia is a knave". Emily remarked, "Alexander is a knave and Noah is a knight". As Zoey put it, "If Alexander is a knight then Emily is a knave". So who is a knight and who is a knave?

Mason Noah Amelia Alexander Riley Emily Zoey

Mason is a knight, Noah is a knave, Amelia is a knight, Alexander is a knight, Riley is a knave, Emily is a knave, and Zoey is a knight.

(1) Mason is a knight
(2) Noah is a knave
(3) Amelia is a knight
(4) Alexander is a knight
(5) Riley is a knave
(6) Emily is a knave
(7) Zoey is a knight

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

Assume Alexander is a knight. No contradiction is found in their claim that If Zoey is a knight then Mason is a knight.

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Mason is a knave or Amelia is a knave.

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

Amelia cannot be a knave, because this would contradict the false claim of Riley that Mason is a knave or Amelia is a knave.

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Noah is a knave if and only if Alexander 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, Noah, Victoria, Liam, David, Scarlett, and Aiden. Mason told you that Aiden is a knave or Liam is a knave. Noah stated, "David is a knight or Scarlett is a knave". "Liam is a knight and Liam is a knave," Victoria mentioned. Liam said that If Noah is a knight then Aiden is a knight. David was heard saying, "Liam is a knave and Liam is a knight". "Liam is a knight and David is a knave," Scarlett claimed. Aiden remarked, "If Victoria is a knight then Liam is a knight". So who is a knight and who is a knave?

Mason Noah Victoria Liam David Scarlett Aiden

Mason is a knave, Noah is a knave, Victoria is a knave, Liam is a knight, David is a knave, Scarlett is a knight, and Aiden is a knight.

(1) Mason is a knave
(2) Noah is a knave
(3) Victoria is a knave
(4) Liam is a knight
(5) David is a knave
(6) Scarlett is a knight
(7) Aiden is a knight

Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knave or Liam is a knave.

Assume Aiden is a knight. No contradiction is found in their claim that If Victoria is a knight then Liam is a knight.

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

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

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

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

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that Aiden is a knave or Liam is a knave.

Assume Liam is a knight. No contradiction is found in their claim that If Noah is a knight then Aiden is a knight.

Assume Noah is a knight. No contradiction is found in their claim that David is a knight or Scarlett is a knave.

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

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

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

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

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

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that Liam is a knight and David 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: Noah, Jack, Jacob, Charlotte, Aiden, Penelope, and Olivia. Noah said, "Aiden is a knight or Charlotte is a knave." Jack commented, "Jacob is a knight". As Jacob put it, "Noah is a knight if and only if Aiden is a knight". According to Charlotte, "If Penelope is a knight then Aiden is a knave". Aiden asserted: "Olivia is a knight and Olivia is a knave". Penelope said that If Olivia is a knave then Noah is a knave. Olivia expressed that Aiden is not a knight. So who is a knight and who is a knave?

Noah Jack Jacob Charlotte Aiden Penelope Olivia

Noah is a knave, Jack is a knight, Jacob is a knight, Charlotte is a knight, Aiden is a knave, Penelope is a knight, and Olivia is a knight.

(1) Noah is a knave
(2) Jack is a knight
(3) Jacob is a knight
(4) Charlotte is a knight
(5) Aiden is a knave
(6) Penelope is a knight
(7) Olivia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that Noah is a knight if and only if Aiden 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: Henry, Aurora, Abigail, Chloe, Amelia, Emily, and Zoey. In a statement by Henry: "Chloe is a knight if and only if Emily is a knave". Aurora told you that Abigail is a knave or Chloe is a knight. As Abigail put it, "Henry is a knave and Zoey is a knave". Chloe noted, "If Aurora is a knave then Henry is a knight". Amelia noted, "If Aurora is a knave then Henry is a knave". Emily asserted: "Chloe is a knight if and only if Amelia is a knave". As Zoey put it, "If Abigail is a knight then Aurora is a knight". So who is a knight and who is a knave?

Henry Aurora Abigail Chloe Amelia Emily Zoey

Henry is a knight, Aurora is a knight, Abigail is a knave, Chloe is a knight, Amelia is a knight, Emily is a knave, and Zoey is a knight.

(1) Henry is a knight
(2) Aurora is a knight
(3) Abigail is a knave
(4) Chloe is a knight
(5) Amelia is a knight
(6) Emily is a knave
(7) Zoey is a knight

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

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

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

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

Assume Abigail is a knave. No contradiction is found in their false claim that Henry is a knave and Zoey is a knave.

Assume Zoey is a knight. No contradiction is found in their claim that If Abigail is a knight then Aurora is a knight.

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

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

Assume Amelia is a knight. No contradiction is found in their claim that If Aurora is a knave then Henry 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: Matthew, Henry, James, Emily, Victoria, Chloe, and Zoey. Matthew commented, "If Chloe is a knave then Henry is a knight". Henry expressed that Emily is a knave. James told you that Matthew is a knave or Zoey is a knave. Emily remarked, "Zoey is a knight or Matthew is a knave". Victoria remarked, "Emily is not a knave". Chloe said, "Henry is a knave." In a statement by Zoey: "If Matthew is a knave then Victoria is a knave". So who is a knight and who is a knave?

Matthew Henry James Emily Victoria Chloe Zoey

Matthew is a knight, Henry is a knave, James is a knave, Emily is a knight, Victoria is a knight, Chloe is a knight, and Zoey is a knight.

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knave.

Assume Emily is a knight. No contradiction is found in their claim that Zoey is a knight or Matthew is a knave.

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

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

James cannot be a knight, because this would contradict the claim of their own that Matthew is a knave or Zoey is a knave.

Assume James is a knave. No contradiction is found in their false claim that Matthew is a knave or Zoey 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, Elizabeth, Sophia, Noah, Mia, Grace, and Harper. "If Elizabeth is a knight then Grace is a knave," Isabella claimed. In Elizabeth's words: "Isabella is a knave and Elizabeth is a knight". Sophia said, "Isabella is not a knight." Noah noted, "Harper is a knight". In a statement by Mia: "Harper is not a knight". Grace asserted: "Isabella is a knight". In a statement by Harper: "If Sophia is a knight then Elizabeth is a knave". So who is a knight and who is a knave?

Isabella Elizabeth Sophia Noah Mia Grace Harper

Isabella is a knight, Elizabeth is a knave, Sophia is a knave, Noah is a knight, Mia is a knave, Grace is a knight, and Harper is a knight.

(1) Isabella is a knight
(2) Elizabeth is a knave
(3) Sophia is a knave
(4) Noah is a knight
(5) Mia is a knave
(6) Grace is a knight
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Harper is not a knight.

(('->', ('telling-truth', 1), ('lying', 5)), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 6), ('not', ('telling-truth', 6)), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 1)))


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, Owen, Aurora, Joseph, James, Riley, and Emma. In Jackson's words: "James is not a knave". In a statement by Owen: "Riley is a knight if and only if Owen is a knight". Aurora told you that Joseph is a knave and Joseph is a knight. Joseph told you that Aurora is a knight or Emma is a knight. In James's words: "Aurora is a knight and Emma is a knave". As Riley put it, "Emma is a knave if and only if Riley is a knight". Emma commented, "Riley is a knave or Owen is a knave". So who is a knight and who is a knave?

Jackson Owen Aurora Joseph James Riley Emma

Jackson is a knave, Owen is a knight, Aurora is a knave, Joseph is a knave, James is a knave, Riley is a knight, and Emma is a knave.

(1) Jackson is a knave
(2) Owen is a knight
(3) Aurora is a knave
(4) Joseph is a knave
(5) James is a knave
(6) Riley is a knight
(7) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Joseph is a knight. No contradiction is found in their claim that Aurora is a knight or Emma is a knight.

Assume Emma is a knight. No contradiction is found in their claim that Riley is a knave or Owen is a knave.

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

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

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

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

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

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

Emma cannot be a knight, because this would contradict the false claim of Joseph that Aurora is a knight or Emma is a knight.

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

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

Assume Owen is a knight. No contradiction is found in their claim that Riley is a knight if and only if Owen 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: Elizabeth, Owen, Logan, William, Matthew, Charlotte, and Noah. Elizabeth was heard saying, "William is a knave or Matthew is a knave". In a statement by Owen: "William is a knight and Logan is a knight". According to Logan, "Charlotte is a knave". "Elizabeth is a knight," William claimed. "If Charlotte is a knave then Elizabeth is a knave," Matthew claimed. As Charlotte put it, "If William is a knight then Charlotte is a knight". Noah asserted: "Logan is a knave and Elizabeth is a knave". So who is a knight and who is a knave?

Elizabeth Owen Logan William Matthew Charlotte Noah

Elizabeth is a knight, Owen is a knight, Logan is a knight, William is a knight, Matthew is a knave, Charlotte is a knave, and Noah is a knave.

(1) Elizabeth is a knight
(2) Owen is a knight
(3) Logan is a knight
(4) William is a knight
(5) Matthew is a knave
(6) Charlotte is a knave
(7) Noah is a knave

Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knave or Matthew is a knave.

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

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

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

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

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

Assume Owen is a knight. No contradiction is found in their claim that William is a knight and Logan is a knight.

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knave and Elizabeth 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: Aurora, Noah, James, Avery, Luke, Aiden, and Chloe. Aurora was heard saying, "Aiden is a knave and Noah is a knave". Noah noted, "Luke is a knave". James was heard saying, "If Aurora is a knight then Chloe is a knight". Avery commented, "If Aurora is a knight then Noah is a knight". "Chloe is a knight and Aurora is a knight," Luke declared. Aiden said, "If Avery is a knight then James is a knight." As Chloe put it, "Aiden is a knight if and only if Noah is a knight". So who is a knight and who is a knave?

Aurora Noah James Avery Luke Aiden Chloe

Aurora is a knave, Noah is a knight, James is a knight, Avery is a knight, Luke is a knave, Aiden is a knight, and Chloe is a knight.

(1) Aurora is a knave
(2) Noah is a knight
(3) James is a knight
(4) Avery is a knight
(5) Luke is a knave
(6) Aiden is a knight
(7) Chloe is a knight

Assume Aurora is a knight. No contradiction is found in their claim that Aiden is a knave and Noah is a knave.

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

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

Assume Avery is a knight. No contradiction is found in their claim that If Aurora is a knight then Noah is a knight.

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

Noah cannot be a knave, because this would contradict the claim of Avery that If Aurora is a knight then Noah is a knight.

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Aiden is a knave and Noah is a knave.

Assume Aiden is a knight. No contradiction is found in their claim that If Avery is a knight then James is a knight.

Assume Noah 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 Noah that Luke is a knave.

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

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

Assume James is a knight. No contradiction is found in their claim that If Aurora is a knight then Chloe is a knight.

(('and', ('lying', 5), ('lying', 1)), ('lying', 4), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Mia, Ava, Aria, Penelope, Joseph, and Noah. "Aria is not a knight," Logan mentioned. "Penelope is not a knave" - Mia. Ava remarked, "Penelope is not a knave". "Noah is a knight or Penelope is a knight," Aria declared. Penelope expressed that Ava is a knight if and only if Noah is a knight. In Joseph's words: "If Ava is a knight then Mia is a knave". Noah noted, "Joseph is not a knight". So who is a knight and who is a knave?

Logan is a knave, Mia is a knight, Ava is a knight, Aria is a knight, Penelope is a knight, Joseph is a knave, and Noah is a knight.

(1) Logan is a knave
(2) Mia is a knight
(3) Ava is a knight
(4) Aria is a knight
(5) Penelope is a knight
(6) Joseph is a knave
(7) Noah is a knight

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

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

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

Noah cannot be a knight, because this would contradict the false claim of Aria that Noah is a knight or Penelope is a knight.

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

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

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

Penelope cannot be a knight, because this would contradict the false claim of Aria that Noah is a knight or Penelope is a knight.

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Penelope is not a knave.

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

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

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

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

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

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

Assume Aria is a knight. No contradiction is found in their claim that Noah is a knight or Penelope is a knight.

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

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

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

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

Assume Mia is a knight. No contradiction is found in their claim that Penelope 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: James, Ava, Abigail, Daniel, Sofia, Logan, and Grace. "James is a knight or Logan is a knight," James mentioned. In a statement by Ava: "Abigail is a knight or Daniel is a knight". Abigail commented, "Ava is a knave or Grace is a knave". According to Daniel, "If James is a knight then Abigail is a knave". In a statement by Sofia: "Ava is a knave and James is a knight". Logan stated, "Ava is a knight and James is a knave". In a statement by Grace: "If Abigail is a knave then Grace is a knight". So who is a knight and who is a knave?

James Ava Abigail Daniel Sofia Logan Grace

James is a knight, Ava is a knight, Abigail is a knave, Daniel is a knight, Sofia is a knave, Logan is a knave, and Grace is a knight.

(1) James is a knight
(2) Ava is a knight
(3) Abigail is a knave
(4) Daniel is a knight
(5) Sofia is a knave
(6) Logan is a knave
(7) Grace is a knight

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

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

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

Assume Ava is a knight. No contradiction is found in their claim that Abigail is a knight or Daniel is a knight.

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

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

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

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

Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knave or Grace is a knave.

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave and James 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, Ella, Aurora, Sofia, Olivia, Sophia, and Daniel. Scarlett asserted: "Daniel is not a knight". In a statement by Ella: "Aurora is a knave". According to Aurora, "Olivia is a knave if and only if Daniel is a knave". Sofia was heard saying, "Aurora is not a knight". Olivia commented, "If Sofia is a knave then Aurora is a knave". Sophia expressed that Sofia is a knave if and only if Daniel is a knave. Daniel commented, "Olivia is not a knight". So who is a knight and who is a knave?

Scarlett Ella Aurora Sofia Olivia Sophia Daniel

Scarlett is a knight, Ella is a knight, Aurora is a knave, Sofia is a knight, Olivia is a knight, Sophia is a knave, and Daniel is a knave.

(1) Scarlett is a knight
(2) Ella is a knight
(3) Aurora is a knave
(4) Sofia is a knight
(5) Olivia is a knight
(6) Sophia is a knave
(7) Daniel is a knave

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

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

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

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

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

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

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

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

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

Assume Sophia is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if 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: Jackson, Aurora, Liam, Mia, Sophia, Chloe, and Jacob. Jackson expressed that Mia is not a knight. Aurora remarked, "Chloe is a knight or Sophia is a knight". Liam stated, "Aurora is a knight if and only if Jackson is a knave". "Liam is a knave and Mia is a knight," Mia claimed. Sophia stated, "Jackson is a knave or Liam is a knight". "Chloe is a knight" - Chloe. In a statement by Jacob: "Sophia is a knave and Chloe is a knave". So who is a knight and who is a knave?

Jackson Aurora Liam Mia Sophia Chloe Jacob

Jackson is a knight, Aurora is a knight, Liam is a knave, Mia is a knave, Sophia is a knave, Chloe is a knight, and Jacob is a knave.

(1) Jackson is a knight
(2) Aurora is a knight
(3) Liam is a knave
(4) Mia is a knave
(5) Sophia is a knave
(6) Chloe is a knight
(7) Jacob is a knave

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

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

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

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

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

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

Chloe cannot be a knight, because this would contradict the false claim of Aurora that Chloe is a knight or Sophia is a knight.

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

Sophia cannot be a knight, because this would contradict the false claim of Aurora that Chloe is a knight or Sophia is a knight.

Sophia cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Liam is a knight.

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Sophia is a knave and Chloe 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: William, Victoria, Joseph, Abigail, Michael, Luke, and Henry. "Victoria is a knight," William declared. Victoria was heard saying, "Abigail is a knight". "Henry is a knave and Abigail is a knave," Joseph mentioned. As Abigail put it, "If William is a knight then Victoria is a knight". "Henry is a knight if and only if William is a knave," Michael claimed. Luke stated, "Abigail is a knight and Michael is a knave". Henry told you that If Luke is a knight then Henry is a knight. So who is a knight and who is a knave?

William Victoria Joseph Abigail Michael Luke Henry

William is a knight, Victoria is a knight, Joseph is a knave, Abigail is a knight, Michael is a knave, Luke is a knight, and Henry is a knight.

(1) William is a knight
(2) Victoria is a knight
(3) Joseph is a knave
(4) Abigail is a knight
(5) Michael is a knave
(6) Luke is a knight
(7) Henry is a knight

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

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

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

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

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

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

Assume Luke is a knight. No contradiction is found in their claim that Abigail is a knight and Michael is a knave.

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

Assume Michael is a knave. No contradiction is found in their false claim that Henry is a knight if and only if 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: Aurora, Mason, Luke, Victoria, Elizabeth, Ella, and Lucas. Aurora remarked, "Ella is a knight and Victoria is a knight". In Mason's words: "If Lucas is a knight then Mason is a knight". As Luke put it, "Victoria is a knave and Lucas is a knight". In Victoria's words: "Mason is not a knight". Elizabeth noted, "Mason is a knave if and only if Victoria is a knave". "Mason is a knave or Victoria is a knave," Ella declared. Lucas expressed that Aurora is a knave and Victoria is a knave. So who is a knight and who is a knave?

Aurora Mason Luke Victoria Elizabeth Ella Lucas

Aurora is a knave, Mason is a knight, Luke is a knight, Victoria is a knave, Elizabeth is a knave, Ella is a knight, and Lucas is a knight.

(1) Aurora is a knave
(2) Mason is a knight
(3) Luke is a knight
(4) Victoria is a knave
(5) Elizabeth is a knave
(6) Ella is a knight
(7) Lucas is a knight

Assume Aurora is a knight. No contradiction is found in their claim that Ella is a knight and Victoria is a knight.

Assume Ella is a knight. No contradiction is found in their claim that Mason is a knave or Victoria is a knave.

Assume Mason is a knight. No contradiction is found in their claim that If Lucas is a knight then Mason is a knight.

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

Assume Lucas is a knave. No contradiction is found in their false claim that Aurora is a knave and Victoria is a knave.

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

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

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

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

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

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

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

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

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

Assume Lucas is a knight. No contradiction is found in their claim that Aurora is a knave and Victoria is a knave.

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

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

Assume Luke is a knight. No contradiction is found in their claim that Victoria is a knave and Lucas is a knight.

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Victoria 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: Elizabeth, Michael, David, Riley, James, Liam, and Olivia. "Olivia is a knight if and only if David is a knight," Elizabeth claimed. Michael commented, "Elizabeth is not a knight". David asserted: "If Olivia is a knight then Olivia is a knave". In a statement by Riley: "James is not a knight". James stated, "Olivia is a knave if and only if David is a knight". Liam was heard saying, "David is a knight and Riley is a knave". Olivia expressed that James is not a knight. So who is a knight and who is a knave?

Elizabeth Michael David Riley James Liam Olivia

Elizabeth is a knave, Michael is a knight, David is a knight, Riley is a knave, James is a knight, Liam is a knight, and Olivia is a knave.

(1) Elizabeth is a knave
(2) Michael is a knight
(3) David is a knight
(4) Riley is a knave
(5) James is a knight
(6) Liam is a knight
(7) Olivia is a knave

Assume Elizabeth is a knight. No contradiction is found in their claim that Olivia is a knight if and only if David 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 Olivia 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 If Olivia is a knight then Olivia is a knave.

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

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

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

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

David cannot be a knight, because this would contradict the claim of Elizabeth that Olivia is a knight if and only if David is a knight.

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

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

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is not a knight.

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

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

Assume Liam is a knight. No contradiction is found in their claim that David is a knight and Riley is a knave.