A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Michael, Matthew, Benjamin, Mason, Alexander, and Charlotte. "Matthew is not a knight," Henry claimed. Michael noted, "If Henry is a knave then Charlotte is a knight". Matthew commented, "Charlotte is a knight or Alexander is a knight". Benjamin noted, "Michael is a knight if and only if Matthew is a knave". Mason commented, "Benjamin is a knight". According to Alexander, "Alexander is a knight or Mason is a knight". "Michael is a knave or Alexander is a knave," Charlotte mentioned. So who is a knight and who is a knave?

Henry Michael Matthew Benjamin Mason Alexander Charlotte

Henry is a knave, Michael is a knight, Matthew is a knight, Benjamin is a knave, Mason is a knave, Alexander is a knave, and Charlotte is a knight.

(1) Henry is a knave
(2) Michael is a knight
(3) Matthew is a knight
(4) Benjamin is a knave
(5) Mason is a knave
(6) Alexander is a knave
(7) Charlotte is a knight

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Michael is a knave or Alexander is a knave.

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

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

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

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

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

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

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

Assume Matthew is a knight. No contradiction is found in their claim that Charlotte is a knight or Alexander is a knight.

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

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

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

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

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

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

Assume Benjamin is a knave. No contradiction is found in their false claim that Michael is a knight if and only if 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: Aria, Victoria, Michael, Lily, Emma, Ella, and Olivia. Aria remarked, "Michael is a knight if and only if Ella is a knight". Victoria asserted: "Lily is a knight or Victoria is a knight". "Lily is a knight," Michael claimed. Lily said that Victoria is a knave. Emma was heard saying, "Aria is a knave if and only if Emma is a knight". Ella expressed that Lily is a knight or Emma is a knave. Olivia noted, "Lily is a knight and Ella is a knight". So who is a knight and who is a knave?

Aria Victoria Michael Lily Emma Ella Olivia

Aria is a knave, Victoria is a knight, Michael is a knave, Lily is a knave, Emma is a knave, Ella is a knight, and Olivia is a knave.

(1) Aria is a knave
(2) Victoria is a knight
(3) Michael is a knave
(4) Lily is a knave
(5) Emma is a knave
(6) Ella is a knight
(7) Olivia is a knave

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

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

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

Assume Lily 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 Lily that Victoria is a knave.

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

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

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

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

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

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

Assume Lily 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 Lily is a knight or Victoria is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

(('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 3), ('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 4)), ('or', ('telling-truth', 3), ('lying', 4)), ('and', ('telling-truth', 3), ('telling-truth', 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: Matthew, Olivia, Scarlett, Jack, Emily, Henry, and Amelia. Matthew stated, "Jack is not a knight". "Henry is not a knave," Olivia mentioned. Scarlett said that Jack is a knave if and only if Henry is a knave. In Jack's words: "Emily is a knight if and only if Emily is a knave". In Emily's words: "Scarlett is a knave if and only if Olivia is a knave". "Emily is a knight," Henry claimed. Amelia noted, "Emily is a knave if and only if Olivia is a knave". So who is a knight and who is a knave?

Matthew Olivia Scarlett Jack Emily Henry Amelia

Matthew is a knight, Olivia is a knave, Scarlett is a knight, Jack is a knave, Emily is a knave, Henry is a knave, and Amelia is a knight.

(1) Matthew is a knight
(2) Olivia is a knave
(3) Scarlett is a knight
(4) Jack is a knave
(5) Emily is a knave
(6) Henry is a knave
(7) Amelia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Emily is a knave 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: Luke, Amelia, Chloe, Aiden, Jack, Oliver, and Noah. Luke said that Jack is not a knight. As Amelia put it, "Chloe is a knight if and only if Luke is a knave". Chloe commented, "Aiden is a knave or Jack is a knight". "Oliver is a knave," Aiden declared. Jack told you that Chloe is a knight or Aiden is a knight. "Jack is a knave," Oliver declared. Noah stated, "Luke is a knight if and only if Jack is a knight". So who is a knight and who is a knave?

Luke Amelia Chloe Aiden Jack Oliver Noah

Luke is a knave, Amelia is a knight, Chloe is a knight, Aiden is a knight, Jack is a knight, Oliver is a knave, and Noah is a knave.

(1) Luke is a knave
(2) Amelia is a knight
(3) Chloe is a knight
(4) Aiden is a knight
(5) Jack is a knight
(6) Oliver is a knave
(7) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden 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 Aiden that Oliver is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Penelope, Abigail, James, Scarlett, Mia, and Harper. Ethan said that If James is a knave then James is a knight. Penelope noted, "Harper is a knave if and only if Harper is a knight". As Abigail put it, "Harper is a knight". James asserted: "Ethan is a knave and James is a knight". "Harper is a knave if and only if Penelope is a knight," Scarlett declared. "Ethan is a knight or Harper is a knight," Mia declared. In a statement by Harper: "Ethan is a knave". So who is a knight and who is a knave?

Ethan Penelope Abigail James Scarlett Mia Harper

Ethan is a knave, Penelope is a knave, Abigail is a knight, James is a knave, Scarlett is a knight, Mia is a knight, and Harper is a knight.

(1) Ethan is a knave
(2) Penelope is a knave
(3) Abigail is a knight
(4) James is a knave
(5) Scarlett is a knight
(6) Mia is a knight
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knight or 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: Sophia, James, Liam, Mia, Harper, Oliver, and Avery. "Harper is a knave if and only if Liam is a knight," Sophia mentioned. As James put it, "Harper is a knight". Liam noted, "If Oliver is a knight then Harper is a knight". Mia commented, "If Mia is a knight then Liam is a knight". Harper asserted: "Oliver is a knight if and only if Avery is a knave". Oliver stated, "Avery is not a knave". Avery said that Liam is a knight if and only if Sophia is a knave. So who is a knight and who is a knave?

Sophia James Liam Mia Harper Oliver Avery

Sophia is a knight, James is a knave, Liam is a knight, Mia is a knight, Harper is a knave, Oliver is a knave, and Avery is a knave.

(1) Sophia is a knight
(2) James is a knave
(3) Liam is a knight
(4) Mia is a knight
(5) Harper is a knave
(6) Oliver is a knave
(7) Avery is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Avery cannot be a knight, because this would contradict the false claim of Harper that Oliver 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 Liam is a knight if and only if Sophia is a knave.

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

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

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

Assume Mia is a knight. No contradiction is found in their claim that If Mia 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: Lucas, Charlotte, Zoey, Sofia, Elizabeth, David, and Benjamin. "Zoey is not a knight" - Lucas. Charlotte was heard saying, "If David is a knight then Zoey is a knight". "David is a knave and Elizabeth is a knave," Zoey claimed. Sofia asserted: "Elizabeth is not a knight". "Lucas is a knight if and only if Benjamin is a knave," Elizabeth declared. David remarked, "Sofia is not a knave". "If Zoey is a knight then Elizabeth is a knight," Benjamin mentioned. So who is a knight and who is a knave?

Lucas Charlotte Zoey Sofia Elizabeth David Benjamin

Lucas is a knight, Charlotte is a knave, Zoey is a knave, Sofia is a knight, Elizabeth is a knave, David is a knight, and Benjamin is a knight.

(1) Lucas is a knight
(2) Charlotte is a knave
(3) Zoey is a knave
(4) Sofia is a knight
(5) Elizabeth is a knave
(6) David is a knight
(7) Benjamin is a knight

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

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

Assume Zoey is a knave. No contradiction is found in their false claim that David is a knave and Elizabeth is a knave.

Assume David 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 Elizabeth is not a knight.

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

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

Assume Benjamin is a knight. No contradiction is found in their claim that If Zoey is a knight then Elizabeth is a knight.

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

Assume Charlotte is a knave. No contradiction is found in their false claim that If David is a knight then 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: Sebastian, Sofia, Chloe, Evelyn, Victoria, Emma, and Aurora. Sebastian said that Emma is a knave. "If Emma is a knight then Sebastian is a knave," Sofia mentioned. In Chloe's words: "Sofia is a knave". Evelyn was heard saying, "Emma is a knave". Victoria remarked, "If Chloe is a knight then Sofia is a knave". Emma said, "Evelyn is a knave or Evelyn is a knight." As Aurora put it, "If Victoria is a knave then Victoria is a knight". So who is a knight and who is a knave?

Sebastian Sofia Chloe Evelyn Victoria Emma Aurora

Sebastian is a knave, Sofia is a knight, Chloe is a knave, Evelyn is a knave, Victoria is a knight, Emma is a knight, and Aurora is a knight.

(1) Sebastian is a knave
(2) Sofia is a knight
(3) Chloe is a knave
(4) Evelyn is a knave
(5) Victoria is a knight
(6) Emma is a knight
(7) Aurora is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Mason, Matthew, Avery, Samuel, Olivia, and Isabella. As William put it, "Olivia is not a knave". Mason remarked, "William is a knight and Samuel is a knave". Matthew noted, "Avery is a knight and Avery is a knave". "Olivia is a knave and William is a knight," Avery declared. According to Samuel, "If Olivia is a knight then Samuel is a knight". Olivia asserted: "Samuel is a knight if and only if Samuel is a knave". Isabella said that Mason is a knight or Samuel is a knight. So who is a knight and who is a knave?

William Mason Matthew Avery Samuel Olivia Isabella

William is a knave, Mason is a knave, Matthew is a knave, Avery is a knave, Samuel is a knight, Olivia is a knave, and Isabella is a knight.

(1) William is a knave
(2) Mason is a knave
(3) Matthew is a knave
(4) Avery is a knave
(5) Samuel is a knight
(6) Olivia is a knave
(7) Isabella is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Evelyn, Charlotte, Isabella, Ella, Sophia, and Jack. Matthew said, "Ella is a knave." Evelyn said, "Isabella is not a knight." Charlotte stated, "Charlotte is a knight if and only if Sophia is a knight". Isabella asserted: "Jack is a knave if and only if Sophia is a knave". Ella said, "Jack is a knight or Matthew is a knave." Sophia told you that If Isabella is a knave then Charlotte is a knight. Jack stated, "Charlotte is not a knave". So who is a knight and who is a knave?

Matthew Evelyn Charlotte Isabella Ella Sophia Jack

Matthew is a knave, Evelyn is a knave, Charlotte is a knight, Isabella is a knight, Ella is a knight, Sophia is a knight, and Jack is a knight.

(1) Matthew is a knave
(2) Evelyn is a knave
(3) Charlotte is a knight
(4) Isabella is a knight
(5) Ella is a knight
(6) Sophia is a knight
(7) Jack is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Evelyn is a knave. No contradiction is found in their false claim that Isabella 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: Liam, Grace, Lily, Jackson, Chloe, Victoria, and Abigail. Liam said that Grace is a knave or Grace is a knight. Grace expressed that Lily is a knight and Victoria is a knave. Lily commented, "Liam is a knight or Jackson is a knave". "Grace is a knave and Jackson is a knight," Jackson mentioned. Chloe remarked, "Liam is a knight". Victoria noted, "Chloe is a knight if and only if Liam is a knave". Abigail commented, "Lily is a knight". So who is a knight and who is a knave?

Liam Grace Lily Jackson Chloe Victoria Abigail

Liam is a knight, Grace is a knight, Lily is a knight, Jackson is a knave, Chloe is a knight, Victoria is a knave, and Abigail is a knight.

(1) Liam is a knight
(2) Grace is a knight
(3) Lily is a knight
(4) Jackson is a knave
(5) Chloe is a knight
(6) Victoria is a knave
(7) Abigail is a knight

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

Assume Grace is a knight. No contradiction is found in their claim that Lily is a knight and Victoria is a knave.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Zoey, Ava, Joseph, Lily, Mia, and Ethan. Elizabeth said that Joseph is not a knave. Zoey noted, "Ethan is a knight". Ava commented, "Ethan is a knave if and only if Zoey is a knave". In a statement by Joseph: "Ava is a knave and Ethan is a knave". Lily noted, "Joseph is a knave or Mia is a knave". "Joseph is a knight and Ethan is a knight" - Mia. Ethan told you that Joseph is a knight. So who is a knight and who is a knave?

Elizabeth Zoey Ava Joseph Lily Mia Ethan

Elizabeth is a knave, Zoey is a knave, Ava is a knight, Joseph is a knave, Lily is a knight, Mia is a knave, and Ethan is a knave.

(1) Elizabeth is a knave
(2) Zoey is a knave
(3) Ava is a knight
(4) Joseph is a knave
(5) Lily is a knight
(6) Mia is a knave
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Owen, Abigail, Ava, Victoria, Ethan, and Charlotte. Jacob said, "Ava is a knave." Owen said, "Charlotte is a knave and Jacob is a knight." In Abigail's words: "If Jacob is a knave then Owen is a knight". Ava stated, "If Abigail is a knave then Charlotte is a knave". In a statement by Victoria: "Ava is a knight if and only if Charlotte is a knight". Ethan asserted: "Ava is a knight if and only if Victoria is a knave". "Abigail is not a knave," Charlotte declared. So who is a knight and who is a knave?

Jacob Owen Abigail Ava Victoria Ethan Charlotte

Jacob is a knave, Owen is a knave, Abigail is a knave, Ava is a knight, Victoria is a knave, Ethan is a knight, and Charlotte is a knave.

(1) Jacob is a knave
(2) Owen is a knave
(3) Abigail is a knave
(4) Ava is a knight
(5) Victoria is a knave
(6) Ethan is a knight
(7) Charlotte is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Emma, Benjamin, Aiden, Logan, Lucas, and Ethan. Jacob said, "Ethan is a knight or Benjamin is a knight." Emma expressed that Aiden is a knight and Lucas is a knight. Benjamin stated, "Emma is a knave". Aiden expressed that If Lucas is a knave then Ethan is a knave. "If Emma is a knave then Benjamin is a knave," Logan declared. "Logan is a knight and Lucas is a knight" - Lucas. Ethan said, "Jacob is a knave." So who is a knight and who is a knave?

Jacob Emma Benjamin Aiden Logan Lucas Ethan

Jacob is a knight, Emma is a knave, Benjamin is a knight, Aiden is a knight, Logan is a knave, Lucas is a knave, and Ethan is a knave.

(1) Jacob is a knight
(2) Emma is a knave
(3) Benjamin is a knight
(4) Aiden is a knight
(5) Logan is a knave
(6) Lucas is a knave
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Lily, Logan, Sebastian, William, Isabella, and Luke. "William is a knave or Luke is a knave" - Benjamin. In a statement by Lily: "William is not a knave". Logan stated, "Benjamin is a knave and Luke is a knave". In Sebastian's words: "Benjamin is a knight and William is a knight". William was heard saying, "William is a knight if and only if Lily is a knave". "Lily is a knave or Sebastian is a knight," Isabella claimed. Luke expressed that If Isabella is a knight then Logan is a knight. So who is a knight and who is a knave?

Benjamin Lily Logan Sebastian William Isabella Luke

Benjamin is a knight, Lily is a knave, Logan is a knave, Sebastian is a knave, William is a knave, Isabella is a knight, and Luke is a knave.

(1) Benjamin is a knight
(2) Lily is a knave
(3) Logan is a knave
(4) Sebastian is a knave
(5) William is a knave
(6) Isabella is a knight
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Logan is a knave. No contradiction is found in their false claim that Benjamin is a knave and 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: Lily, Harper, Penelope, Daniel, Liam, Jack, and Jackson. "Harper is a knight and Daniel is a knight," Lily declared. "Lily is a knight if and only if Harper is a knight," Harper declared. In a statement by Penelope: "Daniel is a knight if and only if Lily is a knight". Daniel asserted: "Jackson is not a knave". Liam asserted: "Jack is a knave if and only if Penelope is a knave". Jack told you that Penelope is a knight. Jackson told you that Jackson is a knight or Jack is a knight. So who is a knight and who is a knave?

Lily Harper Penelope Daniel Liam Jack Jackson

Lily is a knight, Harper is a knight, Penelope is a knight, Daniel is a knight, Liam is a knight, Jack is a knight, and Jackson is a knight.

(1) Lily is a knight
(2) Harper is a knight
(3) Penelope is a knight
(4) Daniel is a knight
(5) Liam is a knight
(6) Jack is a knight
(7) Jackson is a knight

Assume Lily is a knight. No contradiction is found in their claim that Harper is a knight and Daniel is a knight.

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

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

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

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

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

Assume Liam is a knight. No contradiction is found in their claim that Jack 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: Mia, Jack, Jacob, Oliver, Evelyn, Scarlett, and Chloe. Mia commented, "Oliver is a knave". "Jack is a knight or Evelyn is a knight," Jack claimed. Jacob told you that Evelyn is a knight and Jack is a knave. Oliver expressed that Scarlett is a knight and Evelyn is a knight. Evelyn was heard saying, "Jacob is a knave". Scarlett stated, "Jack is a knave". According to Chloe, "If Jack is a knave then Scarlett is a knight". So who is a knight and who is a knave?

Mia Jack Jacob Oliver Evelyn Scarlett Chloe

Mia is a knight, Jack is a knight, Jacob is a knave, Oliver is a knave, Evelyn is a knight, Scarlett is a knave, and Chloe is a knight.

(1) Mia is a knight
(2) Jack is a knight
(3) Jacob is a knave
(4) Oliver is a knave
(5) Evelyn is a knight
(6) Scarlett is a knave
(7) Chloe is a knight

Assume Mia 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 Mia that Oliver is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Evelyn, Matthew, Henry, Lily, Owen, and Aiden. As Mason put it, "Lily is a knave or Owen is a knave". Evelyn stated, "Matthew is a knave and Mason is a knave". In Matthew's words: "If Henry is a knight then Owen is a knight". Henry commented, "Owen is a knight". Lily said, "If Aiden is a knight then Owen is a knave." Owen commented, "Matthew is not a knave". Aiden remarked, "If Henry is a knave then Owen is a knave". So who is a knight and who is a knave?

Mason Evelyn Matthew Henry Lily Owen Aiden

Mason is a knight, Evelyn is a knave, Matthew is a knight, Henry is a knight, Lily is a knave, Owen is a knight, and Aiden is a knight.

(1) Mason is a knight
(2) Evelyn is a knave
(3) Matthew is a knight
(4) Henry is a knight
(5) Lily is a knave
(6) Owen is a knight
(7) Aiden is a knight

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

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

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

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

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

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

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

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

Assume Owen 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 false claim of Owen that Matthew is not a knave.

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

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

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

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

Owen cannot be a knave, because this would contradict the false claim of Aiden that If Henry is a knave then Owen is a knave.

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

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

Assume Owen 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 If Henry is a knight then Owen is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Abigail, Jacob, Charlotte, Aurora, Samuel, and Ava. Alexander stated, "Ava is a knave or Abigail is a knight". Abigail told you that Jacob is a knave and Alexander is a knave. In Jacob's words: "If Aurora is a knave then Ava is a knave". "Abigail is a knave or Aurora is a knave," Charlotte mentioned. Aurora said, "Alexander is a knave or Charlotte is a knave." Samuel remarked, "Abigail is a knight". In a statement by Ava: "If Aurora is a knight then Alexander is a knave". So who is a knight and who is a knave?

Alexander Abigail Jacob Charlotte Aurora Samuel Ava

Alexander is a knave, Abigail is a knave, Jacob is a knight, Charlotte is a knight, Aurora is a knight, Samuel is a knave, and Ava is a knight.

(1) Alexander is a knave
(2) Abigail is a knave
(3) Jacob is a knight
(4) Charlotte is a knight
(5) Aurora is a knight
(6) Samuel is a knave
(7) Ava is a knight

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Alexander is a knave or Charlotte is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Noah, Benjamin, Penelope, David, Ava, and Sebastian. Amelia remarked, "If Penelope is a knave then David is a knave". Noah asserted: "Sebastian is a knave and Benjamin is a knave". Benjamin was heard saying, "Ava is a knight if and only if Sebastian is a knight". Penelope asserted: "Amelia is a knave if and only if David is a knight". David expressed that Benjamin is a knight. Ava expressed that If David is a knave then Ava is a knight. In a statement by Sebastian: "Penelope is not a knave". So who is a knight and who is a knave?

Amelia Noah Benjamin Penelope David Ava Sebastian

Amelia is a knight, Noah is a knave, Benjamin is a knave, Penelope is a knight, David is a knave, Ava is a knave, and Sebastian is a knight.

(1) Amelia is a knight
(2) Noah is a knave
(3) Benjamin is a knave
(4) Penelope is a knight
(5) David is a knave
(6) Ava is a knave
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Penelope, Henry, Owen, William, Ella, and Emily. Noah asserted: "Ella is a knave and William is a knave". Penelope noted, "Emily is a knave and Ella is a knight". Henry noted, "If Henry is a knight then Emily is a knave". Owen expressed that Noah is a knight or Penelope is a knave. In a statement by William: "Emily is a knave and William is a knight". "Noah is a knave," Ella mentioned. Emily remarked, "Noah is a knave or Owen is a knave". So who is a knight and who is a knave?

Noah Penelope Henry Owen William Ella Emily

Noah is a knight, Penelope is a knave, Henry is a knight, Owen is a knight, William is a knave, Ella is a knave, and Emily is a knave.

(1) Noah is a knight
(2) Penelope is a knave
(3) Henry is a knight
(4) Owen is a knight
(5) William is a knave
(6) Ella is a knave
(7) Emily is a knave

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

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

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

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

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

Assume Emily is a knight. No contradiction is found in their claim that Noah is a knave or Owen is a knave.

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

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

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

Assume Emily is a knave. No contradiction is found in their false claim that Noah is a knave or Owen is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Daniel, Mia, Michael, Jack, William, and Aiden. Avery asserted: "If Michael is a knave then Jack is a knave". Daniel was heard saying, "Jack is a knight and Jack is a knave". "Aiden is a knave," Mia mentioned. "Mia is a knight," Michael claimed. In a statement by Jack: "Michael is not a knave". William said, "Avery is not a knight." Aiden commented, "William is a knave and Daniel is a knave". So who is a knight and who is a knave?

Avery Daniel Mia Michael Jack William Aiden

Avery is a knight, Daniel is a knave, Mia is a knave, Michael is a knave, Jack is a knave, William is a knave, and Aiden is a knight.

(1) Avery is a knight
(2) Daniel is a knave
(3) Mia is a knave
(4) Michael is a knave
(5) Jack is a knave
(6) William is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Michael 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: Charlotte, Henry, Luke, Noah, Ethan, Logan, and Michael. Charlotte expressed that Ethan is not a knave. "Charlotte is a knave and Noah is a knave," Henry claimed. Luke expressed that Ethan is a knave if and only if Logan is a knight. Noah was heard saying, "Ethan is not a knight". Ethan was heard saying, "If Logan is a knight then Charlotte is a knave". Logan remarked, "Charlotte is a knave". Michael said that Noah is a knave and Logan is a knave. So who is a knight and who is a knave?

Charlotte Henry Luke Noah Ethan Logan Michael

Charlotte is a knight, Henry is a knave, Luke is a knight, Noah is a knave, Ethan is a knight, Logan is a knave, and Michael is a knight.

(1) Charlotte is a knight
(2) Henry is a knave
(3) Luke is a knight
(4) Noah is a knave
(5) Ethan is a knight
(6) Logan is a knave
(7) Michael is a knight

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

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Charlotte is a knave and Noah is a knave.

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Noah is a knave and Logan 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, Charlotte, Aurora, Sebastian, Samuel, Jacob, and Harper. Olivia remarked, "If Harper is a knight then Samuel is a knave". According to Charlotte, "Sebastian is a knave and Harper is a knave". "If Samuel is a knave then Charlotte is a knight," Aurora declared. "Charlotte is not a knight," Sebastian claimed. Samuel remarked, "Olivia is a knave and Sebastian is a knave". Jacob commented, "If Samuel is a knight then Samuel is a knave". "Aurora is a knight or Charlotte is a knave," Harper claimed. So who is a knight and who is a knave?

Olivia Charlotte Aurora Sebastian Samuel Jacob Harper

Olivia is a knight, Charlotte is a knave, Aurora is a knave, Sebastian is a knight, Samuel is a knave, Jacob is a knight, and Harper is a knight.

(1) Olivia is a knight
(2) Charlotte is a knave
(3) Aurora is a knave
(4) Sebastian is a knight
(5) Samuel is a knave
(6) Jacob is a knight
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Sebastian is a knave and Harper is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Mason, Henry, James, David, Riley, and Grace. "Mason is not a knight" - Avery. Mason noted, "David is a knave and Riley is a knight". In Henry's words: "If Avery is a knave then Grace is a knight". According to James, "David is a knight and David is a knave". "Riley is a knight and Grace is a knave" - David. Riley expressed that If Henry is a knave then Grace is a knight. Grace told you that Mason is a knight if and only if Avery is a knave. So who is a knight and who is a knave?

Avery Mason Henry James David Riley Grace

Avery is a knave, Mason is a knight, Henry is a knight, James is a knave, David is a knave, Riley is a knight, and Grace is a knight.

(1) Avery is a knave
(2) Mason is a knight
(3) Henry is a knight
(4) James is a knave
(5) David is a knave
(6) Riley is a knight
(7) Grace is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Lily, Michael, William, Daniel, David, and Charlotte. "Charlotte is a knight or Daniel is a knave," Aiden claimed. Lily expressed that Lily is a knight if and only if David is a knight. Michael said that Aiden is a knave and Lily is a knight. As William put it, "Michael is a knight if and only if David is a knave". According to Daniel, "David is a knight or Daniel is a knight". "Aiden is a knight and Lily is a knave," David mentioned. As Charlotte put it, "William is a knight if and only if Charlotte is a knight". So who is a knight and who is a knave?

Aiden Lily Michael William Daniel David Charlotte

Aiden is a knight, Lily is a knave, Michael is a knave, William is a knight, Daniel is a knight, David is a knight, and Charlotte is a knight.

(1) Aiden is a knight
(2) Lily is a knave
(3) Michael is a knave
(4) William is a knight
(5) Daniel is a knight
(6) David is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

David cannot be a knave, because this would contradict the claim of Lily that Lily 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 Lily.

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

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

Assume Daniel is a knight. No contradiction is found in their claim that David is a knight or Daniel 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: Samuel, Harper, Isabella, Chloe, Aiden, Michael, and Elizabeth. In Samuel's words: "Aiden is a knave or Michael is a knave". In a statement by Harper: "Michael is not a knave". Isabella said that Michael is a knave. As Chloe put it, "Harper is a knave if and only if Isabella is a knight". Aiden commented, "Michael is a knight if and only if Chloe is a knight". "If Michael is a knight then Aiden is a knight," Michael claimed. Elizabeth stated, "If Harper is a knight then Harper is a knave". So who is a knight and who is a knave?

Samuel Harper Isabella Chloe Aiden Michael Elizabeth

Samuel is a knave, Harper is a knight, Isabella is a knave, Chloe is a knight, Aiden is a knight, Michael is a knight, and Elizabeth is a knave.

(1) Samuel is a knave
(2) Harper is a knight
(3) Isabella is a knave
(4) Chloe is a knight
(5) Aiden is a knight
(6) Michael is a knight
(7) Elizabeth is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that If Harper is a knight then 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: Michael, Ethan, Sofia, Emily, Daniel, Charlotte, and Scarlett. "Ethan is a knave" - Michael. Ethan asserted: "Michael is a knave if and only if Charlotte is a knight". In Sofia's words: "Ethan is a knave if and only if Emily is a knight". Emily asserted: "Sofia is a knight or Charlotte is a knave". Daniel noted, "If Charlotte is a knave then Charlotte is a knight". Charlotte commented, "If Scarlett is a knight then Scarlett is a knave". As Scarlett put it, "Emily is a knight if and only if Daniel is a knight". So who is a knight and who is a knave?

Michael Ethan Sofia Emily Daniel Charlotte Scarlett

Michael is a knight, Ethan is a knave, Sofia is a knave, Emily is a knave, Daniel is a knight, Charlotte is a knight, and Scarlett is a knave.

(1) Michael is a knight
(2) Ethan is a knave
(3) Sofia is a knave
(4) Emily is a knave
(5) Daniel is a knight
(6) Charlotte is a knight
(7) Scarlett is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, David, James, Emily, Lucas, Aiden, and Samuel. As Abigail put it, "James is a knave and Emily is a knight". As David put it, "If James is a knight then Emily is a knave". "Samuel is a knight," James declared. Emily stated, "If Samuel is a knave then Abigail is a knight". Lucas remarked, "James is a knight or Samuel is a knight". "Emily is a knight and Abigail is a knave," Aiden claimed. Samuel noted, "Aiden is a knight if and only if Samuel is a knight". So who is a knight and who is a knave?

Abigail David James Emily Lucas Aiden Samuel

Abigail is a knave, David is a knave, James is a knight, Emily is a knight, Lucas is a knight, Aiden is a knight, and Samuel is a knight.

(1) Abigail is a knave
(2) David is a knave
(3) James is a knight
(4) Emily is a knight
(5) Lucas is a knight
(6) Aiden is a knight
(7) Samuel is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Sofia, Mia, Abigail, Victoria, Jackson, and James. Samuel said that Abigail is a knave or Jackson is a knight. In Sofia's words: "Victoria is a knave if and only if Mia is a knight". Mia commented, "Abigail is a knight". In a statement by Abigail: "Jackson is a knave". Victoria was heard saying, "Mia is not a knight". "James is not a knave," Jackson mentioned. "Sofia is a knight or Abigail is a knave," James declared. So who is a knight and who is a knave?

Samuel Sofia Mia Abigail Victoria Jackson James

Samuel is a knight, Sofia is a knight, Mia is a knave, Abigail is a knave, Victoria is a knight, Jackson is a knight, and James is a knight.

(1) Samuel is a knight
(2) Sofia is a knight
(3) Mia is a knave
(4) Abigail is a knave
(5) Victoria is a knight
(6) Jackson is a knight
(7) James is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Abigail 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: Penelope, Mason, Aiden, Zoey, Noah, Emily, and Harper. Penelope was heard saying, "Noah is not a knight". Mason expressed that Penelope is a knave and Harper is a knave. Aiden remarked, "Penelope is a knight and Noah is a knight". Zoey said, "Harper is a knave and Aiden is a knave." Noah told you that Noah is a knight and Aiden is a knave. Emily remarked, "Zoey is not a knave". In Harper's words: "Emily is a knight and Mason is a knave". So who is a knight and who is a knave?

Penelope Mason Aiden Zoey Noah Emily Harper

Penelope is a knave, Mason is a knight, Aiden is a knave, Zoey is a knight, Noah is a knight, Emily is a knight, and Harper is a knave.

(1) Penelope is a knave
(2) Mason is a knight
(3) Aiden is a knave
(4) Zoey is a knight
(5) Noah is a knight
(6) Emily is a knight
(7) Harper is a knave

Assume Penelope 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 Penelope that Noah is not a knight.

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that Penelope is a knave and Harper is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

We have exhausted all possibilities for Zoey, Emily, Harper, Mason, Aiden, and Noah, so let us go back and reconsider Penelope.

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

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

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

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

Assume Zoey is a knight. No contradiction is found in their claim that Harper is a knave and Aiden 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: Aiden, Henry, Abigail, Zoey, Aria, Emma, and Joseph. In a statement by Aiden: "Henry is a knave if and only if Zoey is a knave". Henry noted, "Abigail is a knight and Aiden is a knight". "Zoey is not a knight" - Abigail. Zoey said, "Aria is not a knave." As Aria put it, "Henry is a knave if and only if Joseph is a knight". Emma said that Emma is a knight and Henry is a knight. As Joseph put it, "Zoey is a knight or Henry is a knave". So who is a knight and who is a knave?

Aiden Henry Abigail Zoey Aria Emma Joseph

Aiden is a knave, Henry is a knave, Abigail is a knave, Zoey is a knight, Aria is a knight, Emma is a knave, and Joseph is a knight.

(1) Aiden is a knave
(2) Henry is a knave
(3) Abigail is a knave
(4) Zoey is a knight
(5) Aria is a knight
(6) Emma is a knave
(7) Joseph is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight and Henry 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: Chloe, William, Zoey, Amelia, Jackson, Jack, and Luke. Chloe stated, "Jackson is not a knight". "Luke is a knight," William mentioned. Zoey stated, "Amelia is a knave or Amelia is a knight". Amelia said that Jack is a knight. Jackson was heard saying, "If Luke is a knight then Jack is a knight". Jack noted, "William is not a knave". Luke remarked, "Jackson is a knave if and only if Zoey is a knight". So who is a knight and who is a knave?

Chloe William Zoey Amelia Jackson Jack Luke

Chloe is a knave, William is a knave, Zoey is a knight, Amelia is a knave, Jackson is a knight, Jack is a knave, and Luke is a knave.

(1) Chloe is a knave
(2) William is a knave
(3) Zoey is a knight
(4) Amelia is a knave
(5) Jackson is a knight
(6) Jack is a knave
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Elizabeth, Liam, Samuel, Chloe, Ethan, and James. According to Ella, "Liam is a knave". As Elizabeth put it, "Ella is a knave or Chloe is a knave". Liam remarked, "James is a knave or Ella is a knight". Samuel expressed that James is not a knight. "Ethan is a knave or Ethan is a knight," Chloe mentioned. "James is not a knave" - Ethan. James commented, "Ethan is a knight and Chloe is a knave". So who is a knight and who is a knave?

Ella Elizabeth Liam Samuel Chloe Ethan James

Ella is a knave, Elizabeth is a knight, Liam is a knight, Samuel is a knight, Chloe is a knight, Ethan is a knave, and James is a knave.

(1) Ella is a knave
(2) Elizabeth is a knight
(3) Liam is a knight
(4) Samuel is a knight
(5) Chloe is a knight
(6) Ethan is a knave
(7) James is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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