A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Daniel, Evelyn, Victoria, Abigail, Aiden, and Riley. In Scarlett's words: "Aiden is a knave if and only if Victoria is a knave". "Aiden is a knave and Scarlett is a knight" - Daniel. "Riley is a knave" - Evelyn. "Aiden is a knight and Abigail is a knight," Victoria declared. "Aiden is a knight or Riley is a knave," Abigail mentioned. "Scarlett is a knave," Aiden claimed. Riley said that If Victoria is a knight then Evelyn is a knight. So who is a knight and who is a knave?

Scarlett Daniel Evelyn Victoria Abigail Aiden Riley

Scarlett is a knight, Daniel is a knight, Evelyn is a knave, Victoria is a knave, Abigail is a knave, Aiden is a knave, and Riley is a knight.

(1) Scarlett is a knight
(2) Daniel is a knight
(3) Evelyn is a knave
(4) Victoria is a knave
(5) Abigail is a knave
(6) Aiden is a knave
(7) Riley is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Ava, Matthew, Sebastian, Mason, Jack, and Mia. Benjamin said that Sebastian is not a knight. "Mia is a knave if and only if Benjamin is a knave," Ava declared. As Matthew put it, "Mason is a knave if and only if Sebastian is a knave". In a statement by Sebastian: "Benjamin is a knave if and only if Matthew is a knight". Mason commented, "Benjamin is a knave if and only if Sebastian is a knight". In Jack's words: "Ava is a knave if and only if Mia is a knave". As Mia put it, "Jack is a knight and Matthew is a knave". So who is a knight and who is a knave?

Benjamin Ava Matthew Sebastian Mason Jack Mia

Benjamin is a knave, Ava is a knight, Matthew is a knight, Sebastian is a knight, Mason is a knight, Jack is a knave, and Mia is a knave.

(1) Benjamin is a knave
(2) Ava is a knight
(3) Matthew is a knight
(4) Sebastian is a knight
(5) Mason is a knight
(6) Jack is a knave
(7) Mia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Evelyn, Liam, Harper, Lily, Elizabeth, and Luke. Joseph was heard saying, "Lily is a knave if and only if Joseph is a knight". "Luke is not a knight," Evelyn claimed. Liam said, "Luke is a knave." Harper asserted: "Lily is a knight if and only if Joseph is a knight". Lily said, "Harper is a knave and Lily is a knight." Elizabeth noted, "Luke is a knight". "If Joseph is a knight then Elizabeth is a knave," Luke declared. So who is a knight and who is a knave?

Joseph Evelyn Liam Harper Lily Elizabeth Luke

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Elizabeth 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 Elizabeth, so let us go back and reconsider Luke.

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

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

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

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

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

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

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

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

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

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