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, Scarlett, James, Harper, Logan, Ava, and Avery. Noah remarked, "Ava is a knight if and only if Avery is a knave". In Scarlett's words: "Avery is a knave if and only if Harper is a knight". According to James, "Noah is not a knave". Harper said that If James is a knave then Logan is a knave. In a statement by Logan: "Ava is a knight if and only if Noah is a knave". "James is a knight and Avery is a knight," Ava claimed. Avery said that If Harper is a knight then Scarlett is a knave. So who is a knight and who is a knave?

Noah Scarlett James Harper Logan Ava Avery

Noah is a knave, Scarlett is a knight, James is a knave, Harper is a knight, Logan is a knave, Ava is a knave, and Avery is a knave.

(1) Noah is a knave
(2) Scarlett is a knight
(3) James is a knave
(4) Harper is a knight
(5) Logan is a knave
(6) Ava is a knave
(7) Avery is a knave

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

Assume Ava is a knight. No contradiction is found in their claim that James is a knight and Avery is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Logan cannot be a knight, because this would contradict the claim of Harper that If James is a knave then Logan is a knave.

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

Assume Scarlett is a knight. No contradiction is found in their claim that Avery is a knave if and only if Harper 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: Aiden, Owen, Chloe, Lily, Jacob, Henry, and Samuel. According to Aiden, "If Chloe is a knight then Samuel is a knight". Owen noted, "Jacob is a knight". Chloe expressed that Aiden is a knight if and only if Aiden is a knave. In a statement by Lily: "Samuel is a knave". Jacob stated, "Aiden is a knight or Henry is a knight". "Aiden is not a knave," Henry claimed. As Samuel put it, "Chloe is a knight if and only if Chloe is a knave". So who is a knight and who is a knave?

Aiden Owen Chloe Lily Jacob Henry Samuel

Aiden is a knight, Owen is a knight, Chloe is a knave, Lily is a knight, Jacob is a knight, Henry is a knight, and Samuel is a knave.

(1) Aiden is a knight
(2) Owen is a knight
(3) Chloe is a knave
(4) Lily is a knight
(5) Jacob is a knight
(6) Henry is a knight
(7) Samuel is a knave

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

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

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

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

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

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

Assume Owen 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 Aiden is a knight or Henry is a knight.

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

Assume Lily is a knight. No contradiction is found in their claim that 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: Olivia, Alexander, Chloe, Sebastian, Lily, Elizabeth, and Emily. Olivia said that Chloe is a knight or Elizabeth is a knight. Alexander said, "Sebastian is a knight or Chloe is a knight." In a statement by Chloe: "Lily is a knave or Alexander is a knave". Sebastian stated, "Olivia is not a knave". Lily told you that Sebastian is a knave or Lily is a knight. In a statement by Elizabeth: "Sebastian is a knave and Emily is a knave". As Emily put it, "Alexander is a knave if and only if Alexander is a knight". So who is a knight and who is a knave?

Olivia Alexander Chloe Sebastian Lily Elizabeth Emily

Olivia is a knight, Alexander is a knight, Chloe is a knight, Sebastian is a knight, Lily is a knave, Elizabeth is a knave, and Emily is a knave.

(1) Olivia is a knight
(2) Alexander is a knight
(3) Chloe is a knight
(4) Sebastian is a knight
(5) Lily is a knave
(6) Elizabeth is a knave
(7) Emily is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Sebastian is a knave and Emily is a knave.

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

Assume Emily is a knave. No contradiction is found in their false claim that Alexander 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: William, Sophia, Amelia, Scarlett, Jacob, Harper, and Benjamin. In a statement by William: "William is a knight or Harper is a knave". As Sophia put it, "William is a knight or Amelia is a knight". According to Amelia, "If Benjamin is a knave then Scarlett is a knave". Scarlett commented, "Sophia is a knight". Jacob told you that If Sophia is a knave then Benjamin is a knight. According to Harper, "If Jacob is a knave then Sophia is a knight". "If Jacob is a knight then William is a knight," Benjamin mentioned. So who is a knight and who is a knave?

William Sophia Amelia Scarlett Jacob Harper Benjamin

William is a knight, Sophia is a knight, Amelia is a knight, Scarlett is a knight, Jacob is a knight, Harper is a knight, and Benjamin is a knight.

(1) William is a knight
(2) Sophia is a knight
(3) Amelia is a knight
(4) Scarlett is a knight
(5) Jacob is a knight
(6) Harper is a knight
(7) Benjamin is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Michael, Matthew, Emily, Ethan, Samuel, and Liam. Daniel commented, "If Emily is a knave then Daniel is a knight". Michael asserted: "Samuel is a knave or Samuel is a knight". "Michael is a knave or Emily is a knave," Matthew claimed. Emily remarked, "If Samuel is a knave then Samuel is a knight". Ethan asserted: "Michael is a knight if and only if Daniel is a knave". Samuel remarked, "Michael is a knight or Matthew is a knave". Liam was heard saying, "If Ethan is a knight then Liam is a knight". So who is a knight and who is a knave?

Daniel Michael Matthew Emily Ethan Samuel Liam

Daniel is a knight, Michael is a knight, Matthew is a knave, Emily is a knight, Ethan is a knave, Samuel is a knight, and Liam is a knight.

(1) Daniel is a knight
(2) Michael is a knight
(3) Matthew is a knave
(4) Emily is a knight
(5) Ethan is a knave
(6) Samuel is a knight
(7) Liam is a knight

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

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

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

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Michael is a knave or Emily is a knave.

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

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

Assume Liam is a knight. No contradiction is found in their claim that If Ethan is a knight then Liam 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: Ethan, Isabella, Oliver, Alexander, Logan, William, and Lily. Ethan noted, "If William is a knave then Logan is a knave". "Isabella is a knight or Oliver is a knight," Isabella mentioned. "Isabella is not a knight," Oliver mentioned. "Ethan is a knave if and only if William is a knave" - Alexander. According to Logan, "Lily is not a knave". William said that If Isabella is a knight then Alexander is a knave. Lily noted, "Alexander is a knight and Oliver is a knave". So who is a knight and who is a knave?

Ethan Isabella Oliver Alexander Logan William Lily

Ethan is a knave, Isabella is a knight, Oliver is a knave, Alexander is a knight, Logan is a knight, William is a knave, and Lily is a knight.

(1) Ethan is a knave
(2) Isabella is a knight
(3) Oliver is a knave
(4) Alexander is a knight
(5) Logan is a knight
(6) William is a knave
(7) Lily is a knight

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

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

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

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

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

Alexander cannot be a knight, because this would contradict the claim of William that If Isabella is a knight then Alexander is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Victoria, Mia, Scarlett, Aiden, Logan, and William. Zoey told you that Aiden is a knight. "Mia is not a knave" - Victoria. Mia commented, "Zoey is not a knave". In a statement by Scarlett: "If Aiden is a knave then Aiden is a knight". In a statement by Aiden: "Logan is a knave and Scarlett is a knave". "Mia is a knave and Logan is a knight," Logan declared. In William's words: "If Aiden is a knave then Victoria is a knave". So who is a knight and who is a knave?

Zoey Victoria Mia Scarlett Aiden Logan William

Zoey is a knave, Victoria is a knave, Mia is a knave, Scarlett is a knave, Aiden is a knave, Logan is a knight, and William is a knight.

(1) Zoey is a knave
(2) Victoria is a knave
(3) Mia is a knave
(4) Scarlett is a knave
(5) Aiden is a knave
(6) Logan is a knight
(7) William is a knight

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

Assume Aiden is a knight. No contradiction is found in their claim that Logan is a knave and Scarlett is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Logan is a knave and Scarlett is a knave.

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

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

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that If Aiden is a knave then 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: Ella, Liam, Ava, Abigail, Aurora, Charlotte, and Avery. Ella said, "Aurora is a knight or Avery is a knave." According to Liam, "Charlotte is a knave if and only if Ava is a knave". Ava asserted: "Ella is not a knight". Abigail remarked, "Aurora is a knight". Aurora remarked, "Charlotte is a knight or Abigail is a knight". In Charlotte's words: "Ella is a knave or Ella is a knight". Avery noted, "Aurora is not a knight". So who is a knight and who is a knave?

Ella Liam Ava Abigail Aurora Charlotte Avery

Ella is a knight, Liam is a knave, Ava is a knave, Abigail is a knight, Aurora is a knight, Charlotte is a knight, and Avery is a knave.

(1) Ella is a knight
(2) Liam is a knave
(3) Ava is a knave
(4) Abigail is a knight
(5) Aurora is a knight
(6) Charlotte is a knight
(7) Avery is a knave

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

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

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

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

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

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

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

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

Ava cannot be a knave, because this would contradict the claim of Liam that Charlotte is a knave if and only if Ava is a knave.

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Ella 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: Aiden, Charlotte, Riley, Avery, James, Amelia, and Olivia. Aiden stated, "Olivia is a knave if and only if James is a knight". Charlotte commented, "If Avery is a knave then Charlotte is a knight". "Charlotte is a knave if and only if Amelia is a knight" - Riley. "Charlotte is a knave," Avery declared. In James's words: "Aiden is a knight and Riley is a knight". As Amelia put it, "Aiden is a knight if and only if James is a knight". "James is a knight," Olivia claimed. So who is a knight and who is a knave?

Aiden Charlotte Riley Avery James Amelia Olivia

Aiden is a knave, Charlotte is a knight, Riley is a knave, Avery is a knave, James is a knave, Amelia is a knight, and Olivia is a knave.

(1) Aiden is a knave
(2) Charlotte is a knight
(3) Riley is a knave
(4) Avery is a knave
(5) James is a knave
(6) Amelia is a knight
(7) Olivia is a knave

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

Assume Olivia 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 Aiden that Olivia is a knave if and only if James is a knight.

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

We have exhausted all possibilities for 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 a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knight if and only if 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: Lily, Olivia, Evelyn, David, Sebastian, Joseph, and Jack. Lily said that Joseph is a knight and Evelyn is a knave. Olivia told you that If Jack is a knight then Sebastian is a knave. In a statement by Evelyn: "Jack is a knight or Lily is a knight". "Evelyn is a knight if and only if Olivia is a knave," David claimed. "If Evelyn is a knave then Lily is a knave," Sebastian claimed. In a statement by Joseph: "Sebastian is not a knight". "Sebastian is not a knight," Jack mentioned. So who is a knight and who is a knave?

Lily Olivia Evelyn David Sebastian Joseph Jack

Lily is a knave, Olivia is a knight, Evelyn is a knave, David is a knight, Sebastian is a knight, Joseph is a knave, and Jack is a knave.

(1) Lily is a knave
(2) Olivia is a knight
(3) Evelyn is a knave
(4) David is a knight
(5) Sebastian is a knight
(6) Joseph is a knave
(7) Jack is a knave

Assume Lily is a knight. No contradiction is found in their claim that Joseph is a knight and Evelyn is a knave.

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

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

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

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

Evelyn cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Lily is a knight.

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

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

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

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

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

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight or Lily is a knight.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Abigail, David, Mia, Lucas, Aurora, and Luke. In a statement by Owen: "Abigail is a knight if and only if David is a knight". "Aurora is a knave or Mia is a knave," Abigail claimed. David told you that Luke is a knight if and only if Luke is a knave. "Lucas is a knight and Lucas is a knave," Mia claimed. Lucas commented, "Mia is a knight or David is a knight". Aurora remarked, "David is not a knave". Luke stated, "Abigail is a knight if and only if Owen is a knight". So who is a knight and who is a knave?

Owen Abigail David Mia Lucas Aurora Luke

Owen is a knave, Abigail is a knight, David is a knave, Mia is a knave, Lucas is a knave, Aurora is a knave, and Luke is a knave.

(1) Owen is a knave
(2) Abigail is a knight
(3) David is a knave
(4) Mia is a knave
(5) Lucas is a knave
(6) Aurora is a knave
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Lucas cannot be a knight, because this would contradict the claim of their own that Mia is a knight or David is a knight.

Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knight or David 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: Sophia, Alexander, Joseph, Mason, Aria, James, and Zoey. "Zoey is a knight," Sophia declared. "If Aria is a knave then Zoey is a knave," Alexander declared. As Joseph put it, "Alexander is a knight". In a statement by Mason: "Zoey is not a knave". According to Aria, "Joseph is a knight and Zoey is a knave". James expressed that Joseph is a knight and Zoey is a knight. Zoey asserted: "Mason is a knave and Zoey is a knight". So who is a knight and who is a knave?

Sophia Alexander Joseph Mason Aria James Zoey

Sophia is a knave, Alexander is a knight, Joseph is a knight, Mason is a knave, Aria is a knight, James is a knave, and Zoey is a knave.

(1) Sophia is a knave
(2) Alexander is a knight
(3) Joseph is a knight
(4) Mason is a knave
(5) Aria is a knight
(6) James is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knave. No contradiction is found in their false claim that Joseph is a knight and Zoey 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: Luke, Isabella, Samuel, Ava, Daniel, Mia, and Owen. Luke noted, "Mia is a knight or Ava is a knight". Isabella stated, "Luke is a knave". Samuel said, "Mia is a knave if and only if Isabella is a knave." According to Ava, "Samuel is a knight and Luke is a knave". "Luke is a knave and Ava is a knave," Daniel mentioned. According to Mia, "Mia is a knight and Isabella is a knight". In Owen's words: "Isabella is a knight if and only if Ava is a knave". So who is a knight and who is a knave?

Luke Isabella Samuel Ava Daniel Mia Owen

Luke is a knave, Isabella is a knight, Samuel is a knave, Ava is a knave, Daniel is a knight, Mia is a knave, and Owen is a knight.

(1) Luke is a knave
(2) Isabella is a knight
(3) Samuel is a knave
(4) Ava is a knave
(5) Daniel is a knight
(6) Mia is a knave
(7) Owen is a knight

Assume Luke is a knight. No contradiction is found in their claim that Mia is a knight or Ava is a knight.

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

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

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

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

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

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

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

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

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

Assume Luke is a knave. No contradiction is found in their false claim that Mia is a knight or Ava is a knight.

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

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

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

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

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

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

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

Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Ava 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: Alexander, Samuel, Sebastian, Mia, Charlotte, Victoria, and Avery. "Samuel is a knave" - Alexander. Samuel told you that Avery is a knave. Sebastian was heard saying, "If Mia is a knight then Victoria is a knight". "If Charlotte is a knave then Sebastian is a knave," Mia declared. Charlotte remarked, "Alexander is a knave and Avery is a knight". In Victoria's words: "If Avery is a knave then Charlotte is a knave". In Avery's words: "Sebastian is a knave". So who is a knight and who is a knave?

Alexander Samuel Sebastian Mia Charlotte Victoria Avery

Alexander is a knave, Samuel is a knight, Sebastian is a knight, Mia is a knave, Charlotte is a knave, Victoria is a knight, and Avery is a knave.

(1) Alexander is a knave
(2) Samuel is a knight
(3) Sebastian is a knight
(4) Mia is a knave
(5) Charlotte is a knave
(6) Victoria is a knight
(7) Avery is a knave

Assume Alexander 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 Alexander that Samuel is a knave.

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

Assume Avery 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 Avery that Sebastian is a knave.

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

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

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

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

Victoria cannot be a knight, because this would contradict the false claim of Sebastian that If Mia is a knight then Victoria is a knight.

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

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

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

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

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

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

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

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

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

Assume Avery 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 If Mia is a knight then Victoria is a knight.

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that If Avery is a knave then Charlotte 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, Sophia, Mia, Emma, Lucas, Ethan, and Sofia. "Ethan is a knight or Sofia is a knight," Isabella mentioned. Sophia noted, "Lucas is a knight or Sofia is a knave". Mia commented, "Sofia is a knave if and only if Lucas is a knave". According to Emma, "Ethan is not a knight". Lucas noted, "Sophia is a knave or Sofia is a knight". In Ethan's words: "Sofia is not a knave". Sofia commented, "Lucas is a knight if and only if Sofia is a knight". So who is a knight and who is a knave?

Isabella Sophia Mia Emma Lucas Ethan Sofia

Isabella is a knight, Sophia is a knight, Mia is a knight, Emma is a knave, Lucas is a knight, Ethan is a knight, and Sofia is a knight.

(1) Isabella is a knight
(2) Sophia is a knight
(3) Mia is a knight
(4) Emma is a knave
(5) Lucas is a knight
(6) Ethan is a knight
(7) Sofia is a knight

Assume Isabella is a knight. No contradiction is found in their claim that Ethan is a knight or Sofia is a knight.

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

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

Assume Lucas is a knight. No contradiction is found in their claim that Sophia is a knave or Sofia is a knight.

Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight or Sofia is a knave.

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Ethan 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: Chloe, Logan, Luke, Ethan, Penelope, Jack, and James. Chloe commented, "Jack is a knave and Luke is a knave". In a statement by Logan: "Luke is not a knave". In Luke's words: "Jack is not a knave". Ethan told you that Luke is a knight. Penelope told you that James is a knight if and only if Luke is a knave. As Jack put it, "If Luke is a knight then James is a knight". In a statement by James: "Luke is a knave or Luke is a knight". So who is a knight and who is a knave?

Chloe Logan Luke Ethan Penelope Jack James

Chloe is a knave, Logan is a knight, Luke is a knight, Ethan is a knight, Penelope is a knave, Jack is a knight, and James is a knight.

(1) Chloe is a knave
(2) Logan is a knight
(3) Luke is a knight
(4) Ethan is a knight
(5) Penelope is a knave
(6) Jack is a knight
(7) James is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that James is a knight if and only if 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: Owen, Emma, David, Aiden, Matthew, Avery, and Victoria. "Victoria is not a knave" - Owen. Emma noted, "Victoria is not a knave". David remarked, "Emma is a knight". Aiden stated, "Avery is a knave and Matthew is a knave". Matthew was heard saying, "Emma is a knave if and only if Matthew is a knight". "Matthew is not a knave," Avery claimed. Victoria told you that Victoria is a knight or Aiden is a knave. So who is a knight and who is a knave?

Owen Emma David Aiden Matthew Avery Victoria

Owen is a knave, Emma is a knave, David is a knave, Aiden is a knight, Matthew is a knave, Avery is a knave, and Victoria is a knave.

(1) Owen is a knave
(2) Emma is a knave
(3) David is a knave
(4) Aiden is a knight
(5) Matthew is a knave
(6) Avery is a knave
(7) Victoria is a knave

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

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

Assume Aiden is a knight. No contradiction is found in their claim that Avery is a knave and Matthew is a knave.

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Avery is a knave and Matthew is a knave.

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

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

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

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

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

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

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

Matthew cannot be a knave, because this would contradict the false claim of Aiden that Avery is a knave and Matthew is a knave.

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

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

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

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

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

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

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

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

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

Assume David is a knave. No contradiction is found in their false claim that Emma 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: Liam, Ella, Samuel, Sophia, Owen, Evelyn, and Alexander. "Sophia is a knave and Evelyn is a knave," Liam declared. Ella said, "If Evelyn is a knave then Sophia is a knave." As Samuel put it, "Alexander is a knave or Sophia is a knave". Sophia expressed that Owen is a knight or Alexander is a knave. Owen said that Liam is a knight. Evelyn commented, "Sophia is not a knight". "Samuel is a knave" - Alexander. So who is a knight and who is a knave?

Liam Ella Samuel Sophia Owen Evelyn Alexander

Liam is a knave, Ella is a knave, Samuel is a knight, Sophia is a knight, Owen is a knave, Evelyn is a knave, and Alexander is a knave.

(1) Liam is a knave
(2) Ella is a knave
(3) Samuel is a knight
(4) Sophia is a knight
(5) Owen is a knave
(6) Evelyn is a knave
(7) Alexander is a knave

Assume Liam is a knight. No contradiction is found in their claim that Sophia is a knave and Evelyn is a knave.

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

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

Owen cannot be a knight, because this would contradict the false claim of Sophia that Owen is a knight or Alexander is a knave.

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Sophia is a knave and Evelyn is a knave.

Assume Sophia is a knight. No contradiction is found in their claim that Owen is a knight or Alexander is a knave.

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

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

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

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

Assume Samuel is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.

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

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

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

Assume Ella is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Sophia 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: Ella, Michael, Samuel, Owen, Logan, Elizabeth, and William. "Owen is a knave and Michael is a knight" - Ella. "Owen is a knight or Logan is a knave," Michael declared. Samuel asserted: "Owen is a knave and Elizabeth is a knave". "Elizabeth is a knave if and only if Owen is a knight," Owen mentioned. "Ella is not a knight," Logan claimed. Elizabeth remarked, "Samuel is a knight or Ella is a knight". William said, "Logan is a knave if and only if Logan is a knight." So who is a knight and who is a knave?

Ella Michael Samuel Owen Logan Elizabeth William

Ella is a knave, Michael is a knight, Samuel is a knave, Owen is a knight, Logan is a knight, Elizabeth is a knave, and William is a knave.

(1) Ella is a knave
(2) Michael is a knight
(3) Samuel is a knave
(4) Owen is a knight
(5) Logan is a knight
(6) Elizabeth is a knave
(7) William is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knave. No contradiction is found in their false claim that Owen is a knave and Elizabeth is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Daniel, David, Jackson, Victoria, Sofia, and Aiden. Oliver noted, "Daniel is not a knave". Daniel asserted: "Victoria is a knave". "Victoria is not a knight," David mentioned. As Jackson put it, "If Oliver is a knave then Aiden is a knave". Victoria asserted: "Aiden is not a knave". Sofia remarked, "Victoria is not a knight". Aiden commented, "David is a knave or Daniel is a knight". So who is a knight and who is a knave?

Oliver Daniel David Jackson Victoria Sofia Aiden

Oliver is a knave, Daniel is a knave, David is a knave, Jackson is a knave, Victoria is a knight, Sofia is a knave, and Aiden is a knight.

(1) Oliver is a knave
(2) Daniel is a knave
(3) David is a knave
(4) Jackson is a knave
(5) Victoria is a knight
(6) Sofia is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Victoria 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: Harper, Liam, Benjamin, Abigail, Joseph, Michael, and Luke. Harper asserted: "If Abigail is a knave then Abigail is a knight". Liam commented, "Harper is not a knight". Benjamin commented, "Michael is a knight and Luke is a knave". According to Abigail, "If Abigail is a knight then Michael is a knave". "Benjamin is a knight or Harper is a knight," Joseph mentioned. Michael said, "Abigail is a knight and Benjamin is a knight." "Abigail is a knight and Michael is a knave," Luke declared. So who is a knight and who is a knave?

Harper Liam Benjamin Abigail Joseph Michael Luke

Harper is a knight, Liam is a knave, Benjamin is a knave, Abigail is a knight, Joseph is a knight, Michael is a knave, and Luke is a knight.

(1) Harper is a knight
(2) Liam is a knave
(3) Benjamin is a knave
(4) Abigail is a knight
(5) Joseph is a knight
(6) Michael is a knave
(7) Luke is a knight

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

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

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

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

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

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

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

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

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

Assume Joseph is a knight. No contradiction is found in their claim that Benjamin is a knight or Harper is a knight.

(('->', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 5), ('lying', 6)), ('->', ('telling-truth', 3), ('lying', 5)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 5)))


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, James, Grace, Penelope, Scarlett, Harper, and Noah. Emma said that Penelope is a knight or Harper is a knight. According to James, "Noah is a knight". "If James is a knave then Scarlett is a knave," Grace mentioned. Penelope expressed that Emma is a knight if and only if Harper is a knight. Scarlett said that Harper is a knave if and only if Penelope is a knave. Harper said, "Noah is not a knight." Noah said that James is not a knave. So who is a knight and who is a knave?

Emma James Grace Penelope Scarlett Harper Noah

Emma is a knight, James is a knave, Grace is a knave, Penelope is a knight, Scarlett is a knight, Harper is a knight, and Noah is a knave.

(1) Emma is a knight
(2) James is a knave
(3) Grace is a knave
(4) Penelope is a knight
(5) Scarlett is a knight
(6) Harper is a knight
(7) Noah is a knave

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

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

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

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

Assume Noah 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 claim of their own that Noah is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Samuel, Aurora, Sebastian, Jackson, Olivia, and Amelia. Isabella commented, "Aurora is a knave and Jackson is a knight". In a statement by Samuel: "Isabella is a knight and Sebastian is a knave". "If Amelia is a knave then Amelia is a knight," Aurora declared. "Jackson is a knight and Amelia is a knave," Sebastian claimed. Jackson said, "Sebastian is a knave and Sebastian is a knight." Olivia noted, "Isabella is a knave or Samuel is a knave". Amelia said, "Isabella is not a knight." So who is a knight and who is a knave?

Isabella Samuel Aurora Sebastian Jackson Olivia Amelia

Isabella is a knave, Samuel is a knave, Aurora is a knight, Sebastian is a knave, Jackson is a knave, Olivia is a knight, and Amelia is a knight.

(1) Isabella is a knave
(2) Samuel is a knave
(3) Aurora is a knight
(4) Sebastian is a knave
(5) Jackson is a knave
(6) Olivia is a knight
(7) Amelia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Olivia is a knight. No contradiction is found in their claim that Isabella is a knave or 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: Riley, Scarlett, Luke, Sofia, Oliver, Emma, and Abigail. Riley stated, "Luke is a knave or Oliver is a knave". Scarlett said that Scarlett is a knight or Sofia is a knight. Luke told you that Emma is a knight and Abigail is a knave. "Riley is a knight and Emma is a knave," Sofia mentioned. Oliver said that Emma is a knave and Riley is a knight. "Luke is a knight if and only if Scarlett is a knave" - Emma. In Abigail's words: "If Sofia is a knight then Luke is a knave". So who is a knight and who is a knave?

Riley Scarlett Luke Sofia Oliver Emma Abigail

Riley is a knight, Scarlett is a knight, Luke is a knave, Sofia is a knave, Oliver is a knave, Emma is a knight, and Abigail is a knight.

(1) Riley is a knight
(2) Scarlett is a knight
(3) Luke is a knave
(4) Sofia is a knave
(5) Oliver is a knave
(6) Emma is a knight
(7) Abigail is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Lucas, Michael, Matthew, Jacob, Harper, and Jack. Scarlett expressed that If Harper is a knight then Matthew is a knight. According to Lucas, "Michael is not a knight". Michael commented, "Harper is not a knave". According to Matthew, "Harper is not a knave". Jacob noted, "Harper is a knight or Lucas is a knight". Harper expressed that If Jack is a knave then Michael is a knave. In Jack's words: "Lucas is a knave if and only if Jack is a knight". So who is a knight and who is a knave?

Scarlett Lucas Michael Matthew Jacob Harper Jack

Scarlett is a knight, Lucas is a knave, Michael is a knight, Matthew is a knight, Jacob is a knight, Harper is a knight, and Jack is a knight.

(1) Scarlett is a knight
(2) Lucas is a knave
(3) Michael is a knight
(4) Matthew is a knight
(5) Jacob is a knight
(6) Harper is a knight
(7) Jack is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Matthew, Daniel, Amelia, Sebastian, Emily, and Aiden. Benjamin stated, "If Emily is a knight then Daniel is a knight". Matthew said, "Daniel is a knave." Daniel said that Emily is a knave and Amelia is a knight. Amelia said that Emily is a knave if and only if Benjamin is a knight. Sebastian expressed that Daniel is a knave. Emily asserted: "Sebastian is a knave and Benjamin is a knave". In a statement by Aiden: "Matthew is a knight and Amelia is a knight". So who is a knight and who is a knave?

Benjamin Matthew Daniel Amelia Sebastian Emily Aiden

Benjamin is a knight, Matthew is a knave, Daniel is a knight, Amelia is a knight, Sebastian is a knave, Emily is a knave, and Aiden is a knave.

(1) Benjamin is a knight
(2) Matthew is a knave
(3) Daniel is a knight
(4) Amelia is a knight
(5) Sebastian is a knave
(6) Emily is a knave
(7) Aiden is a knave

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

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

Assume Emily is a knave. No contradiction is found in their false claim that Sebastian is a knave and Benjamin is a knave.

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

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

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

Amelia cannot be a knight, because this would contradict the false claim of Daniel that Emily is a knave and Amelia is a knight.

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

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knight 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: Sebastian, Logan, Aiden, Liam, Lily, Oliver, and Sophia. Sebastian said, "Oliver is a knave." Logan expressed that Sebastian is not a knave. According to Aiden, "Lily is not a knave". "Sebastian is not a knave," Liam claimed. "Sophia is a knight and Logan is a knight," Lily mentioned. Oliver told you that Liam is a knave and Aiden is a knave. Sophia commented, "Aiden is a knave if and only if Liam is a knight". So who is a knight and who is a knave?

Sebastian Logan Aiden Liam Lily Oliver Sophia

Sebastian is a knave, Logan is a knave, Aiden is a knave, Liam is a knave, Lily is a knave, Oliver is a knight, and Sophia is a knave.

(1) Sebastian is a knave
(2) Logan is a knave
(3) Aiden is a knave
(4) Liam is a knave
(5) Lily is a knave
(6) Oliver is a knight
(7) Sophia is a knave

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

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

Assume Oliver is a knave. No contradiction is found in their false claim that Liam is a knave and Aiden is a knave.

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

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

Assume Lily is a knight. No contradiction is found in their claim that Sophia is a knight and Logan is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their claim that Liam is a knave and Aiden is a knave.

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

Assume Liam is a knave. No contradiction is found in their false claim that Sebastian is not a knave.

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

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

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

Assume Logan is a knave. No contradiction is found in their false claim that Sebastian 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: Victoria, Riley, Jack, Mason, Joseph, Grace, and Ethan. According to Victoria, "Mason is a knight or Jack is a knave". "Jack is a knave or Grace is a knave," Riley mentioned. Jack said that Mason is a knight and Riley is a knight. In Mason's words: "Grace is a knave". Joseph said, "Grace is a knight if and only if Jack is a knave." Grace remarked, "If Joseph is a knave then Victoria is a knight". "Riley is a knave," Ethan declared. So who is a knight and who is a knave?

Victoria Riley Jack Mason Joseph Grace Ethan

Victoria is a knight, Riley is a knight, Jack is a knave, Mason is a knave, Joseph is a knight, Grace is a knight, and Ethan is a knave.

(1) Victoria is a knight
(2) Riley is a knight
(3) Jack is a knave
(4) Mason is a knave
(5) Joseph is a knight
(6) Grace is a knight
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that Riley 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: Sebastian, Grace, Mia, Alexander, Ella, Aurora, and Harper. According to Sebastian, "If Harper is a knave then Harper is a knight". Grace said that Harper is a knight or Harper is a knave. "Alexander is a knight or Ella is a knave," Mia claimed. According to Alexander, "Aurora is a knight". Ella was heard saying, "Mia is a knave and Aurora is a knight". "If Harper is a knave then Harper is a knight," Aurora mentioned. In Harper's words: "Ella is not a knight". So who is a knight and who is a knave?

Sebastian Grace Mia Alexander Ella Aurora Harper

Sebastian is a knight, Grace is a knight, Mia is a knight, Alexander is a knight, Ella is a knave, Aurora is a knight, and Harper is a knight.

(1) Sebastian is a knight
(2) Grace is a knight
(3) Mia is a knight
(4) Alexander is a knight
(5) Ella is a knave
(6) Aurora is a knight
(7) Harper is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Riley, Penelope, Jackson, Aurora, Aria, and Emily. Evelyn remarked, "Jackson is a knight". According to Riley, "If Aria is a knave then Evelyn is a knave". In Penelope's words: "Jackson is a knight". Jackson asserted: "If Penelope is a knave then Riley is a knight". As Aurora put it, "Aria is a knight". "Emily is a knave if and only if Evelyn is a knight," Aria mentioned. As Emily put it, "Riley is a knight and Aurora is a knave". So who is a knight and who is a knave?

Evelyn Riley Penelope Jackson Aurora Aria Emily

Evelyn is a knight, Riley is a knight, Penelope is a knight, Jackson is a knight, Aurora is a knight, Aria is a knight, and Emily is a knave.

(1) Evelyn is a knight
(2) Riley is a knight
(3) Penelope is a knight
(4) Jackson is a knight
(5) Aurora is a knight
(6) Aria is a knight
(7) Emily is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Aiden, William, Joseph, Jackson, Ava, and Riley. Sebastian asserted: "Jackson is a knight if and only if Ava is a knave". Aiden expressed that Joseph is a knave or Riley is a knave. William remarked, "If Ava is a knight then Aiden is a knight". "Jackson is a knave," Joseph declared. Jackson remarked, "Aiden is a knight and Sebastian is a knight". "Aiden is a knight and William is a knight," Ava mentioned. According to Riley, "William is a knight and Aiden is a knave". So who is a knight and who is a knave?

Sebastian Aiden William Joseph Jackson Ava Riley

Sebastian is a knave, Aiden is a knave, William is a knight, Joseph is a knight, Jackson is a knave, Ava is a knave, and Riley is a knight.

(1) Sebastian is a knave
(2) Aiden is a knave
(3) William is a knight
(4) Joseph is a knight
(5) Jackson is a knave
(6) Ava is a knave
(7) Riley is a knight

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

Assume Jackson is a knight. No contradiction is found in their claim that Aiden is a knight and Sebastian is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Joseph is a knave or Riley is a knave.

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

Assume Riley is a knight. No contradiction is found in their claim that William is a knight and Aiden is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knight and William 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: Owen, Mason, Samuel, Scarlett, Avery, Mia, and Sebastian. "Mia is a knave and Mason is a knave," Owen declared. "Samuel is a knave if and only if Scarlett is a knave" - Mason. Samuel said, "Owen is a knave." "Mia is a knave or Mason is a knave," Scarlett mentioned. In Avery's words: "Scarlett is a knight if and only if Scarlett is a knave". "Sebastian is not a knave" - Mia. Sebastian told you that Samuel is a knave if and only if Scarlett is a knave. So who is a knight and who is a knave?

Owen Mason Samuel Scarlett Avery Mia Sebastian

Owen is a knight, Mason is a knave, Samuel is a knave, Scarlett is a knight, Avery is a knave, Mia is a knave, and Sebastian is a knave.

(1) Owen is a knight
(2) Mason is a knave
(3) Samuel is a knave
(4) Scarlett is a knight
(5) Avery is a knave
(6) Mia is a knave
(7) Sebastian is a knave

Assume Owen is a knight. No contradiction is found in their claim that Mia is a knave and Mason is a knave.

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Ethan, David, Aiden, Luke, Riley, and Emily. "Aiden is not a knave," Matthew declared. Ethan was heard saying, "Emily is a knave and Matthew is a knight". David expressed that Aiden is a knave or Matthew is a knave. Aiden commented, "Riley is not a knave". Luke commented, "Matthew is not a knave". In Riley's words: "Ethan is a knave or Luke is a knight". "Luke is a knave" - Emily. So who is a knight and who is a knave?

Matthew Ethan David Aiden Luke Riley Emily

Matthew is a knight, Ethan is a knight, David is a knave, Aiden is a knight, Luke is a knight, Riley is a knight, and Emily is a knave.

(1) Matthew is a knight
(2) Ethan is a knight
(3) David is a knave
(4) Aiden is a knight
(5) Luke is a knight
(6) Riley is a knight
(7) Emily is a knave

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

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

Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knave or Luke is a knight.

Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knave and Matthew is a knight.

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

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

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

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

Assume David is a knave. No contradiction is found in their false claim that Aiden is a knave or Matthew is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Ethan, Mason, Jacob, Joseph, Matthew, and Lucas. In Owen's words: "Joseph is a knave if and only if Jacob is a knight". In Ethan's words: "Matthew is a knight". "Ethan is a knight or Mason is a knight," Mason declared. In Jacob's words: "Joseph is a knave or Matthew is a knave". "Matthew is a knave" - Joseph. "Mason is a knight or Mason is a knave," Matthew declared. As Lucas put it, "Matthew is a knave if and only if Mason is a knave". So who is a knight and who is a knave?

Owen Ethan Mason Jacob Joseph Matthew Lucas

Owen is a knight, Ethan is a knight, Mason is a knight, Jacob is a knight, Joseph is a knave, Matthew is a knight, and Lucas is a knight.

(1) Owen is a knight
(2) Ethan is a knight
(3) Mason is a knight
(4) Jacob is a knight
(5) Joseph is a knave
(6) Matthew is a knight
(7) Lucas is a knight

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

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

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

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

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

Assume Joseph is a knave. No contradiction is found in their false claim that Matthew is a knave.

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

Assume Mason is a knight. No contradiction is found in their claim that Ethan is a knight or Mason is a knight.

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

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

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