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, Samuel, Ethan, Ava, Oliver, Jack, and Ella. Matthew noted, "Ella is a knave". Samuel remarked, "If Ella is a knave then Samuel is a knight". Ethan was heard saying, "Ella is not a knight". In a statement by Ava: "If Samuel is a knave then Ethan is a knave". "Ella is not a knight," Oliver mentioned. Jack was heard saying, "Ethan is a knight and Matthew is a knave". Ella stated, "Samuel is a knave". So who is a knight and who is a knave?

Matthew Samuel Ethan Ava Oliver Jack Ella

Matthew is a knight, Samuel is a knight, Ethan is a knight, Ava is a knight, Oliver is a knight, Jack is a knave, and Ella is a knave.

(1) Matthew is a knight
(2) Samuel is a knight
(3) Ethan is a knight
(4) Ava is a knight
(5) Oliver is a knight
(6) Jack is a knave
(7) Ella is a knave

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 Samuel is a knave.

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Ethan is a knight and 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: Logan, Michael, Emma, Elizabeth, Aiden, Jackson, and Emily. Logan remarked, "Emily is not a knight". Michael was heard saying, "If Michael is a knight then Logan is a knight". In a statement by Emma: "Emily is a knight if and only if Aiden is a knight". Elizabeth noted, "Emily is a knave or Logan is a knight". According to Aiden, "Michael is not a knight". "Michael is a knight if and only if Emily is a knight," Jackson claimed. Emily was heard saying, "Michael is a knight if and only if Emma is a knave". So who is a knight and who is a knave?

Logan Michael Emma Elizabeth Aiden Jackson Emily

Logan is a knight, Michael is a knight, Emma is a knight, Elizabeth is a knight, Aiden is a knave, Jackson is a knave, and Emily is a knave.

(1) Logan is a knight
(2) Michael is a knight
(3) Emma is a knight
(4) Elizabeth is a knight
(5) Aiden is a knave
(6) Jackson is a knave
(7) Emily is a knave

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

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

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

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

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

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

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Emily is a knave or Logan is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Michael, Owen, Ella, Jackson, Riley, and Mason. "Owen is a knave and Owen is a knight," Luke declared. Michael expressed that Jackson is a knave. "Jackson is a knight and Michael is a knave," Owen declared. Ella said, "Owen is not a knave." Jackson asserted: "If Jackson is a knight then Ella is a knight". "Michael is a knight," Riley declared. Mason commented, "If Ella is a knight then Ella is a knave". So who is a knight and who is a knave?

Luke Michael Owen Ella Jackson Riley Mason

Luke is a knave, Michael is a knave, Owen is a knight, Ella is a knight, Jackson is a knight, Riley is a knave, and Mason is a knave.

(1) Luke is a knave
(2) Michael is a knave
(3) Owen is a knight
(4) Ella is a knight
(5) Jackson is a knight
(6) Riley is a knave
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, William, Noah, Penelope, Oliver, Mason, and Jacob. "If Penelope is a knave then Oliver is a knave," Aurora mentioned. William said that If Oliver is a knight then Mason is a knight. In Noah's words: "Penelope is not a knight". Penelope stated, "Jacob is not a knight". Oliver remarked, "William is a knight or Aurora is a knight". "Penelope is a knight or Oliver is a knight" - Mason. Jacob was heard saying, "Aurora is a knave and William is a knave". So who is a knight and who is a knave?

Aurora William Noah Penelope Oliver Mason Jacob

Aurora is a knight, William is a knight, Noah is a knave, Penelope is a knight, Oliver is a knight, Mason is a knight, and Jacob is a knave.

(1) Aurora is a knight
(2) William is a knight
(3) Noah is a knave
(4) Penelope is a knight
(5) Oliver is a knight
(6) Mason is a knight
(7) Jacob is a knave

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Aurora is a knave and William is a knave.

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

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

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Penelope 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: Amelia, Jackson, Emma, Daniel, Isabella, Benjamin, and Ava. "Emma is a knave," Amelia mentioned. Jackson said that Benjamin is a knight or Daniel is a knight. Emma commented, "If Ava is a knight then Daniel is a knave". Daniel was heard saying, "Emma is a knave and Amelia is a knight". "Daniel is a knave," Isabella mentioned. Benjamin expressed that Ava is not a knight. Ava said that Isabella is a knight or Daniel is a knave. So who is a knight and who is a knave?

Amelia Jackson Emma Daniel Isabella Benjamin Ava

Amelia is a knave, Jackson is a knave, Emma is a knight, Daniel is a knave, Isabella is a knight, Benjamin is a knave, and Ava is a knight.

(1) Amelia is a knave
(2) Jackson is a knave
(3) Emma is a knight
(4) Daniel is a knave
(5) Isabella is a knight
(6) Benjamin is a knave
(7) Ava is a knight

Assume Amelia 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 Amelia that Emma is a knave.

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia 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 If Ava is a knight then Daniel is a knave.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Emma, Evelyn, Samuel, Ella, Jackson, and Owen. In Avery's words: "If Emma is a knave then Ella is a knight". Emma was heard saying, "Evelyn is a knave". Evelyn expressed that Ella is not a knight. In a statement by Samuel: "Avery is a knight if and only if Emma is a knight". Ella expressed that If Emma is a knight then Jackson is a knight. In Jackson's words: "Evelyn is a knave and Ella is a knight". "If Ella is a knight then Jackson is a knight," Owen mentioned. So who is a knight and who is a knave?

Avery Emma Evelyn Samuel Ella Jackson Owen

Avery is a knight, Emma is a knight, Evelyn is a knave, Samuel is a knight, Ella is a knight, Jackson is a knight, and Owen is a knight.

(1) Avery is a knight
(2) Emma is a knight
(3) Evelyn is a knave
(4) Samuel is a knight
(5) Ella is a knight
(6) Jackson is a knight
(7) Owen is a knight

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

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

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

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

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

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

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

Assume Owen is a knight. No contradiction is found in their claim that If Ella is a knight then Jackson 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: Grace, Elizabeth, Mason, Ethan, William, Jacob, and Daniel. Grace expressed that Daniel is a knight or Ethan is a knave. "William is a knave and Grace is a knave" - Elizabeth. Mason noted, "Jacob is a knight". Ethan told you that Mason is a knight if and only if Jacob is a knight. "If Mason is a knight then Jacob is a knight," William claimed. Jacob expressed that William is a knave. Daniel commented, "William is a knave and Elizabeth is a knave". So who is a knight and who is a knave?

Grace Elizabeth Mason Ethan William Jacob Daniel

Grace is a knave, Elizabeth is a knave, Mason is a knave, Ethan is a knight, William is a knight, Jacob is a knave, and Daniel is a knave.

(1) Grace is a knave
(2) Elizabeth is a knave
(3) Mason is a knave
(4) Ethan is a knight
(5) William is a knight
(6) Jacob is a knave
(7) Daniel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emily, Grace, Mia, Victoria, Jack, and Lily. Aurora said that Emily is a knight or Jack is a knave. Emily asserted: "If Lily is a knave then Jack is a knight". Grace stated, "Lily is a knight". Mia said that Jack is a knight if and only if Emily is a knight. "Mia is a knave or Emily is a knave," Victoria claimed. Jack asserted: "Aurora is a knight and Aurora is a knave". Lily remarked, "Jack is a knight and Jack is a knave". So who is a knight and who is a knave?

Aurora Emily Grace Mia Victoria Jack Lily

Aurora is a knight, Emily is a knave, Grace is a knave, Mia is a knight, Victoria is a knight, Jack is a knave, and Lily is a knave.

(1) Aurora is a knight
(2) Emily is a knave
(3) Grace is a knave
(4) Mia is a knight
(5) Victoria is a knight
(6) Jack is a knave
(7) Lily is a knave

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

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

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

Assume Lily 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 their own that Aurora is a knight and Aurora is a knave.

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

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

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

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

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

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that Mia is a knave or 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: Lucas, Evelyn, Alexander, Charlotte, Oliver, Sebastian, and Aiden. Lucas expressed that Alexander is a knave and Aiden is a knave. In Evelyn's words: "Sebastian is a knave". "Charlotte is a knight and Lucas is a knave," Alexander declared. According to Charlotte, "Evelyn is a knave if and only if Evelyn is a knight". In Oliver's words: "Aiden is a knight and Charlotte is a knight". Sebastian stated, "Evelyn is a knave and Evelyn is a knight". "Oliver is not a knave," Aiden declared. So who is a knight and who is a knave?

Lucas Evelyn Alexander Charlotte Oliver Sebastian Aiden

Lucas is a knight, Evelyn is a knight, Alexander is a knave, Charlotte is a knave, Oliver is a knave, Sebastian is a knave, and Aiden is a knave.

(1) Lucas is a knight
(2) Evelyn is a knight
(3) Alexander is a knave
(4) Charlotte is a knave
(5) Oliver is a knave
(6) Sebastian is a knave
(7) Aiden is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Oliver is a knave. No contradiction is found in their false claim that Aiden is a knight and 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: Benjamin, Mason, Matthew, Charlotte, Elizabeth, Luke, and Emily. Benjamin expressed that Mason is a knave. Mason expressed that Benjamin is a knight and Luke is a knave. Matthew stated, "Luke is not a knave". "Elizabeth is a knight," Charlotte declared. Elizabeth expressed that Luke is a knave. Luke said, "Emily is a knight." Emily commented, "If Matthew is a knave then Matthew is a knight". So who is a knight and who is a knave?

Benjamin Mason Matthew Charlotte Elizabeth Luke Emily

Benjamin is a knight, Mason is a knave, Matthew is a knight, Charlotte is a knave, Elizabeth is a knave, Luke is a knight, and Emily is a knight.

(1) Benjamin is a knight
(2) Mason is a knave
(3) Matthew is a knight
(4) Charlotte is a knave
(5) Elizabeth is a knave
(6) Luke is a knight
(7) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that 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: Michael, Luke, Sofia, Emily, Avery, Alexander, and Jack. As Michael put it, "Michael is a knight and Sofia is a knight". Luke remarked, "Luke is a knight if and only if Michael is a knave". Sofia commented, "Alexander is a knight and Emily is a knave". In Emily's words: "Luke is a knave or Sofia is a knight". Avery commented, "Michael is a knave if and only if Sofia is a knave". "If Alexander is a knight then Sofia is a knave," Alexander claimed. Jack asserted: "Alexander is a knave if and only if Luke is a knave". So who is a knight and who is a knave?

Michael Luke Sofia Emily Avery Alexander Jack

Michael is a knave, Luke is a knave, Sofia is a knave, Emily is a knight, Avery is a knight, Alexander is a knight, and Jack is a knave.

(1) Michael is a knave
(2) Luke is a knave
(3) Sofia is a knave
(4) Emily is a knight
(5) Avery is a knight
(6) Alexander is a knight
(7) Jack is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Isabella, Mia, Liam, Daniel, William, and Sebastian. "Mia is a knight," Sofia claimed. Isabella noted, "If Sebastian is a knave then William is a knave". "If William is a knight then Daniel is a knight," Mia declared. Liam stated, "Isabella is not a knave". Daniel expressed that If Mia is a knight then Liam is a knight. "Liam is a knave or Sebastian is a knight," William claimed. Sebastian told you that Sofia is a knave if and only if Isabella is a knight. So who is a knight and who is a knave?

Sofia Isabella Mia Liam Daniel William Sebastian

Sofia is a knight, Isabella is a knight, Mia is a knight, Liam is a knight, Daniel is a knight, William is a knave, and Sebastian is a knave.

(1) Sofia is a knight
(2) Isabella is a knight
(3) Mia is a knight
(4) Liam is a knight
(5) Daniel is a knight
(6) William is a knave
(7) Sebastian is a knave

Assume Sofia 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 If William is a knight then Daniel is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Sebastian cannot be a knight, because this would contradict the false claim of William that Liam is a knave or Sebastian is a knight.

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

Assume Daniel 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: William, Daniel, Oliver, Emma, Mia, Alexander, and Liam. "Oliver is not a knave," William claimed. Daniel said, "Oliver is a knight if and only if Liam is a knave." Oliver commented, "If Alexander is a knave then Liam is a knight". "Liam is not a knight," Emma declared. Mia stated, "Daniel is a knave if and only if Liam is a knave". "Daniel is a knight or Emma is a knight," Alexander mentioned. "Emma is a knight or Emma is a knave" - Liam. So who is a knight and who is a knave?

William Daniel Oliver Emma Mia Alexander Liam

William is a knight, Daniel is a knave, Oliver is a knight, Emma is a knave, Mia is a knave, Alexander is a knave, and Liam is a knight.

(1) William is a knight
(2) Daniel is a knave
(3) Oliver is a knight
(4) Emma is a knave
(5) Mia is a knave
(6) Alexander is a knave
(7) Liam is a knight

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

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

Assume Alexander is a knight. No contradiction is found in their claim that Daniel is a knight or Emma is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Sophia, Luke, Victoria, Scarlett, Aurora, and Riley. In Harper's words: "Riley is not a knight". Sophia expressed that Riley is a knave if and only if Sophia is a knight. Luke stated, "Scarlett is a knight and Victoria is a knave". Victoria noted, "Sophia is a knave". Scarlett noted, "Sophia is not a knight". "Luke is a knave" - Aurora. Riley remarked, "Harper is a knight and Victoria is a knave". So who is a knight and who is a knave?

Harper Sophia Luke Victoria Scarlett Aurora Riley

Harper is a knight, Sophia is a knave, Luke is a knave, Victoria is a knight, Scarlett is a knight, Aurora is a knight, and Riley is a knave.

(1) Harper is a knight
(2) Sophia is a knave
(3) Luke is a knave
(4) Victoria is a knight
(5) Scarlett is a knight
(6) Aurora is a knight
(7) Riley is a knave

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

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

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that 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: Scarlett, Lily, Aiden, Aria, Logan, Benjamin, and Avery. Scarlett stated, "Lily is not a knight". In a statement by Lily: "Aria is a knight or Avery is a knave". According to Aiden, "If Benjamin is a knave then Logan is a knave". "Aiden is not a knave" - Aria. According to Logan, "Avery is a knave". According to Benjamin, "Lily is not a knight". Avery asserted: "Scarlett is a knight if and only if Scarlett is a knave". So who is a knight and who is a knave?

Scarlett Lily Aiden Aria Logan Benjamin Avery

Scarlett is a knave, Lily is a knight, Aiden is a knave, Aria is a knave, Logan is a knight, Benjamin is a knave, and Avery is a knave.

(1) Scarlett is a knave
(2) Lily is a knight
(3) Aiden is a knave
(4) Aria is a knave
(5) Logan is a knight
(6) Benjamin is a knave
(7) Avery is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Luke, Benjamin, Sebastian, Daniel, Oliver, and Owen. "Luke is a knave if and only if Daniel is a knight" - Jackson. Luke commented, "Sebastian is not a knight". Benjamin expressed that Sebastian is a knave or Luke is a knave. Sebastian told you that Luke is a knave or Oliver is a knight. Daniel stated, "Sebastian is a knave". Oliver said that Owen is a knight. Owen was heard saying, "Jackson is a knight or Benjamin is a knight". So who is a knight and who is a knave?

Jackson Luke Benjamin Sebastian Daniel Oliver Owen

Jackson is a knave, Luke is a knave, Benjamin is a knight, Sebastian is a knight, Daniel is a knave, Oliver is a knight, and Owen is a knight.

(1) Jackson is a knave
(2) Luke is a knave
(3) Benjamin is a knight
(4) Sebastian is a knight
(5) Daniel is a knave
(6) Oliver is a knight
(7) Owen is a knight

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

Assume Luke 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 Luke that Sebastian is not a knight.

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

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

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

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

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

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

Assume Luke 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 Luke is a knave or Oliver is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Sebastian 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: Sofia, Daniel, Riley, David, Benjamin, Jack, and Jacob. Sofia expressed that Jack is a knight and Benjamin is a knight. According to Daniel, "Benjamin is not a knave". Riley asserted: "Jacob is a knave or Benjamin is a knight". David stated, "Jacob is a knave". Benjamin said that Jack is not a knight. Jack noted, "David is a knave". Jacob remarked, "Sofia is a knave or David is a knight". So who is a knight and who is a knave?

Sofia Daniel Riley David Benjamin Jack Jacob

Sofia is a knave, Daniel is a knave, Riley is a knave, David is a knave, Benjamin is a knave, Jack is a knight, and Jacob is a knight.

(1) Sofia is a knave
(2) Daniel is a knave
(3) Riley is a knave
(4) David is a knave
(5) Benjamin is a knave
(6) Jack is a knight
(7) Jacob is a knight

Assume Sofia is a knight. No contradiction is found in their claim that Jack is a knight and Benjamin is a knight.

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

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

Assume David 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 Sofia is a knave or David is a knight.

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that Sofia is a knave or David is a knight.

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Jacob is a knave or Benjamin 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: Ava, Sophia, Sofia, Henry, Riley, Lucas, and Jackson. Ava told you that Sophia is a knave if and only if Lucas is a knight. Sophia commented, "Lucas is a knave". "Sophia is a knight and Henry is a knight," Sofia declared. Henry asserted: "Lucas is a knight and Ava is a knave". "Riley is a knight and Lucas is a knave," Riley claimed. Lucas stated, "If Sophia is a knave then Ava is a knight". In a statement by Jackson: "If Jackson is a knight then Henry is a knave". So who is a knight and who is a knave?

Ava Sophia Sofia Henry Riley Lucas Jackson

Ava is a knight, Sophia is a knave, Sofia is a knave, Henry is a knave, Riley is a knave, Lucas is a knight, and Jackson is a knight.

(1) Ava is a knight
(2) Sophia is a knave
(3) Sofia is a knave
(4) Henry is a knave
(5) Riley is a knave
(6) Lucas is a knight
(7) Jackson is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Emma, Daniel, Aria, Mia, Grace, and Benjamin. Henry asserted: "Emma is a knave if and only if Grace is a knight". Emma was heard saying, "If Emma is a knight then Mia is a knave". Daniel told you that Benjamin is a knave if and only if Benjamin is a knight. Aria expressed that If Grace is a knight then Henry is a knight. Mia asserted: "Henry is not a knave". Grace remarked, "Emma is not a knave". According to Benjamin, "If Emma is a knight then Aria is a knight". So who is a knight and who is a knave?

Henry Emma Daniel Aria Mia Grace Benjamin

Henry is a knave, Emma is a knight, Daniel is a knave, Aria is a knave, Mia is a knave, Grace is a knight, and Benjamin is a knave.

(1) Henry is a knave
(2) Emma is a knight
(3) Daniel is a knave
(4) Aria is a knave
(5) Mia is a knave
(6) Grace is a knight
(7) Benjamin is a knave

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

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

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

Mia 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 Mia, so let us go back and reconsider Emma.

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that If Grace is a knight then 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: Aria, Scarlett, Aiden, Alexander, Matthew, Olivia, and Ella. As Aria put it, "If Scarlett is a knave then Matthew is a knave". In Scarlett's words: "If Olivia is a knight then Ella is a knave". Aiden noted, "If Alexander is a knave then Matthew is a knave". Alexander remarked, "Scarlett is a knave". Matthew told you that Ella is a knave or Olivia is a knave. "If Aria is a knave then Olivia is a knight," Olivia mentioned. "Aria is not a knight" - Ella. So who is a knight and who is a knave?

Aria Scarlett Aiden Alexander Matthew Olivia Ella

Aria is a knight, Scarlett is a knight, Aiden is a knave, Alexander is a knave, Matthew is a knight, Olivia is a knight, and Ella is a knave.

(1) Aria is a knight
(2) Scarlett is a knight
(3) Aiden is a knave
(4) Alexander is a knave
(5) Matthew is a knight
(6) Olivia is a knight
(7) Ella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Victoria, Avery, Oliver, William, Riley, and Evelyn. Ava asserted: "Riley is a knight". Victoria expressed that Oliver is a knave. In Avery's words: "Evelyn is a knight and Victoria is a knave". Oliver stated, "Victoria is a knave if and only if Oliver is a knight". "Oliver is a knight and Avery is a knight," William mentioned. "Evelyn is a knave and Victoria is a knight," Riley mentioned. Evelyn told you that If Ava is a knave then Riley is a knave. So who is a knight and who is a knave?

Ava Victoria Avery Oliver William Riley Evelyn

Ava is a knave, Victoria is a knave, Avery is a knight, Oliver is a knight, William is a knight, Riley is a knave, and Evelyn is a knight.

(1) Ava is a knave
(2) Victoria is a knave
(3) Avery is a knight
(4) Oliver is a knight
(5) William is a knight
(6) Riley is a knave
(7) Evelyn is a knight

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

Assume Riley is a knight. No contradiction is found in their claim that Evelyn is a knave and Victoria is a knight.

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

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

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

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

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

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

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

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

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

Assume Victoria 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 Victoria that Oliver is a knave.

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that Oliver is a knight and Avery 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: Grace, Harper, Avery, Aurora, Matthew, Aiden, and James. "Aurora is a knight or Harper is a knave," Grace mentioned. Harper said, "Grace is not a knave." In a statement by Avery: "James is a knight or Matthew is a knight". Aurora asserted: "Harper is a knave if and only if James is a knight". Matthew stated, "Aiden is a knight and Avery is a knave". Aiden was heard saying, "Matthew is a knight if and only if Grace is a knight". According to James, "Harper is a knave and Avery is a knight". So who is a knight and who is a knave?

Grace Harper Avery Aurora Matthew Aiden James

Grace is a knight, Harper is a knight, Avery is a knave, Aurora is a knight, Matthew is a knave, Aiden is a knave, and James is a knave.

(1) Grace is a knight
(2) Harper is a knight
(3) Avery is a knave
(4) Aurora is a knight
(5) Matthew is a knave
(6) Aiden is a knave
(7) James is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Grace 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: Aria, Sebastian, Joseph, Oliver, Charlotte, Jackson, and Grace. Aria asserted: "Sebastian is a knight and Grace is a knight". According to Sebastian, "Aria is not a knight". Joseph noted, "If Sebastian is a knave then Grace is a knight". Oliver said that If Aria is a knave then Jackson is a knave. Charlotte said that Aria is a knight and Oliver is a knight. Jackson told you that Grace is a knave. Grace was heard saying, "Sebastian is a knave if and only if Jackson is a knight". So who is a knight and who is a knave?

Aria Sebastian Joseph Oliver Charlotte Jackson Grace

Aria is a knave, Sebastian is a knight, Joseph is a knight, Oliver is a knave, Charlotte is a knave, Jackson is a knight, and Grace is a knave.

(1) Aria is a knave
(2) Sebastian is a knight
(3) Joseph is a knight
(4) Oliver is a knave
(5) Charlotte is a knave
(6) Jackson is a knight
(7) Grace is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Aria is a knight and Oliver 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: Victoria, Mia, Henry, Noah, Ethan, Daniel, and Michael. Victoria remarked, "Michael is not a knight". In a statement by Mia: "Ethan is a knave or Victoria is a knave". "Noah is a knave," Henry declared. Noah noted, "Michael is a knave if and only if Noah is a knight". Ethan told you that Daniel is not a knight. In a statement by Daniel: "Henry is a knave if and only if Mia is a knight". Michael asserted: "Ethan is a knight". So who is a knight and who is a knave?

Victoria Mia Henry Noah Ethan Daniel Michael

Victoria is a knight, Mia is a knight, Henry is a knave, Noah is a knight, Ethan is a knave, Daniel is a knight, and Michael is a knave.

(1) Victoria is a knight
(2) Mia is a knight
(3) Henry is a knave
(4) Noah is a knight
(5) Ethan is a knave
(6) Daniel is a knight
(7) Michael is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave or 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: Michael, Jackson, William, David, Zoey, Charlotte, and Logan. Michael expressed that Jackson is a knave or David is a knight. "If David is a knight then Zoey is a knight," Jackson claimed. "Logan is a knight or Charlotte is a knight," William claimed. As David put it, "Charlotte is a knave and William is a knight". Zoey noted, "If William is a knave then Charlotte is a knave". "Zoey is a knave if and only if William is a knight," Charlotte declared. "William is a knight or Zoey is a knight," Logan declared. So who is a knight and who is a knave?

Michael Jackson William David Zoey Charlotte Logan

Michael is a knight, Jackson is a knight, William is a knight, David is a knight, Zoey is a knight, Charlotte is a knave, and Logan is a knight.

(1) Michael is a knight
(2) Jackson is a knight
(3) William is a knight
(4) David is a knight
(5) Zoey is a knight
(6) Charlotte is a knave
(7) Logan is a knight

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

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

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

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

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

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

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

Assume Logan is a knight. No contradiction is found in their claim that William is a knight or 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: Aria, Henry, Grace, Ella, Benjamin, Daniel, and David. As Aria put it, "Grace is not a knave". Henry told you that Ella is a knight if and only if Grace is a knight. "If Henry is a knave then Grace is a knight," Grace mentioned. Ella told you that Henry is a knight or Daniel is a knave. Benjamin asserted: "Daniel is a knave". According to Daniel, "David is not a knave". David noted, "Benjamin is a knight and Grace is a knight". So who is a knight and who is a knave?

Aria Henry Grace Ella Benjamin Daniel David

Aria is a knave, Henry is a knave, Grace is a knave, Ella is a knight, Benjamin is a knight, Daniel is a knave, and David is a knave.

(1) Aria is a knave
(2) Henry is a knave
(3) Grace is a knave
(4) Ella is a knight
(5) Benjamin is a knight
(6) Daniel is a knave
(7) David is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace 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 Grace that If Henry is a knave then Grace is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Victoria, Mia, Amelia, Aiden, Michael, and David. As Daniel put it, "Mia is a knight if and only if Michael is a knave". Victoria asserted: "If Amelia is a knave then Michael is a knight". In a statement by Mia: "Michael is not a knave". Amelia remarked, "Aiden is a knave and David is a knave". In Aiden's words: "David is a knight if and only if Michael is a knight". In Michael's words: "If Daniel is a knight then David is a knight". "Michael is a knave if and only if Victoria is a knave," David claimed. So who is a knight and who is a knave?

Daniel Victoria Mia Amelia Aiden Michael David

Daniel is a knave, Victoria is a knight, Mia is a knight, Amelia is a knave, Aiden is a knight, Michael is a knight, and David is a knight.

(1) Daniel is a knave
(2) Victoria is a knight
(3) Mia is a knight
(4) Amelia is a knave
(5) Aiden is a knight
(6) Michael is a knight
(7) David is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that Aiden is a knave and David is a knave.

Assume Aiden is a knight. No contradiction is found in their claim that David is a knight if and only if Michael 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, Lily, James, Charlotte, Harper, Jackson, and Sebastian. William noted, "Charlotte is a knight". "If James is a knight then Jackson is a knave" - Lily. James expressed that If Harper is a knight then William is a knave. Charlotte said, "If William is a knight then Sebastian is a knight." Harper remarked, "If William is a knave then Charlotte is a knight". "Sebastian is a knight and Sebastian is a knave" - Jackson. In Sebastian's words: "Lily is not a knave". So who is a knight and who is a knave?

William Lily James Charlotte Harper Jackson Sebastian

William is a knight, Lily is a knight, James is a knave, Charlotte is a knight, Harper is a knight, Jackson is a knave, and Sebastian is a knight.

(1) William is a knight
(2) Lily is a knight
(3) James is a knave
(4) Charlotte is a knight
(5) Harper is a knight
(6) Jackson is a knave
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sebastian 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, Henry, Aria, Noah, Alexander, Riley, and Jacob. Joseph was heard saying, "Aria is not a knight". "Joseph is a knave if and only if Henry is a knight," Henry claimed. In Aria's words: "If Henry is a knight then Joseph is a knave". Noah said, "Alexander is a knight if and only if Jacob is a knave." Alexander stated, "Noah is a knave". Riley asserted: "Alexander is not a knight". "Henry is a knave and Riley is a knight" - Jacob. So who is a knight and who is a knave?

Joseph Henry Aria Noah Alexander Riley Jacob

Joseph is a knave, Henry is a knave, Aria is a knight, Noah is a knight, Alexander is a knave, Riley is a knight, and Jacob is a knight.

(1) Joseph is a knave
(2) Henry is a knave
(3) Aria is a knight
(4) Noah is a knight
(5) Alexander is a knave
(6) Riley is a knight
(7) Jacob is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that Henry is a knave and Riley is a knight.

Assume Riley is a knight. No contradiction is found in their claim that Alexander 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: Emily, Isabella, Ava, Sophia, Luke, Benjamin, and Charlotte. "Isabella is a knave and Isabella is a knight," Emily claimed. Isabella was heard saying, "Emily is a knave". As Ava put it, "Emily is a knight and Isabella is a knight". Sophia expressed that Luke is a knight and Sophia is a knight. According to Luke, "If Benjamin is a knight then Sophia is a knight". In a statement by Benjamin: "Luke is a knave if and only if Sophia is a knight". Charlotte commented, "Sophia is a knight and Luke is a knave". So who is a knight and who is a knave?

Emily Isabella Ava Sophia Luke Benjamin Charlotte

Emily is a knave, Isabella is a knight, Ava is a knave, Sophia is a knight, Luke is a knight, Benjamin is a knave, and Charlotte is a knave.

(1) Emily is a knave
(2) Isabella is a knight
(3) Ava is a knave
(4) Sophia is a knight
(5) Luke is a knight
(6) Benjamin is a knave
(7) Charlotte is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Michael, Henry, Benjamin, Sophia, Elizabeth, and Harper. Evelyn was heard saying, "Sophia is a knave or Sophia is a knight". "Harper is not a knave," Michael claimed. As Henry put it, "Harper is a knave if and only if Benjamin is a knight". Benjamin was heard saying, "Sophia is a knight or Evelyn is a knave". Sophia asserted: "If Henry is a knave then Sophia is a knight". "Michael is a knight and Benjamin is a knight," Elizabeth mentioned. Harper expressed that If Elizabeth is a knight then Sophia is a knight. So who is a knight and who is a knave?

Evelyn Michael Henry Benjamin Sophia Elizabeth Harper

Evelyn is a knight, Michael is a knight, Henry is a knave, Benjamin is a knight, Sophia is a knight, Elizabeth is a knight, and Harper is a knight.

(1) Evelyn is a knight
(2) Michael is a knight
(3) Henry is a knave
(4) Benjamin is a knight
(5) Sophia is a knight
(6) Elizabeth is a knight
(7) Harper is a knight

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

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

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knight and Benjamin is a knight.

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

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

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

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

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

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

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

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

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

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

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

Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is a knight or Evelyn 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: Liam, Elizabeth, Mason, Zoey, Michael, Jack, and Joseph. Liam expressed that Liam is a knight if and only if Joseph is a knave. Elizabeth asserted: "If Jack is a knight then Michael is a knave". Mason expressed that Elizabeth is a knave or Joseph is a knight. Zoey noted, "Mason is not a knight". "If Elizabeth is a knave then Jack is a knave," Michael mentioned. In a statement by Jack: "Liam is a knight". Joseph was heard saying, "Zoey is a knave if and only if Elizabeth is a knight". So who is a knight and who is a knave?

Liam Elizabeth Mason Zoey Michael Jack Joseph

Liam is a knave, Elizabeth is a knight, Mason is a knave, Zoey is a knight, Michael is a knight, Jack is a knave, and Joseph is a knave.

(1) Liam is a knave
(2) Elizabeth is a knight
(3) Mason is a knave
(4) Zoey is a knight
(5) Michael is a knight
(6) Jack is a knave
(7) Joseph is a knave

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

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

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

Assume Zoey 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 Zoey that Mason is not a knight.

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

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

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

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

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

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

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

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

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

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

Assume Zoey 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 Elizabeth is a knave or Joseph is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Scarlett, Grace, Sofia, Jackson, David, and Daniel. According to Luke, "Grace is a knight and Daniel is a knight". "Luke is a knight or David is a knave," Scarlett mentioned. Grace was heard saying, "David is not a knave". Sofia told you that Grace is a knave. In Jackson's words: "Sofia is not a knave". "If Sofia is a knave then Daniel is a knight," David claimed. Daniel asserted: "Grace is a knight". So who is a knight and who is a knave?

Luke Scarlett Grace Sofia Jackson David Daniel

Luke is a knight, Scarlett is a knight, Grace is a knight, Sofia is a knave, Jackson is a knave, David is a knight, and Daniel is a knight.

(1) Luke is a knight
(2) Scarlett is a knight
(3) Grace is a knight
(4) Sofia is a knave
(5) Jackson is a knave
(6) David is a knight
(7) Daniel is a knight

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

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

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

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

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

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

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Sofia 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: Ella, James, Aiden, William, Ava, David, and Sebastian. Ella told you that Sebastian is a knight or David is a knave. "If Aiden is a knight then James is a knight" - James. Aiden said that David is a knight and James is a knave. William told you that If James is a knave then Ella is a knave. "David is a knight and William is a knave," Ava declared. In a statement by David: "William is a knave and Aiden is a knave". "If James is a knight then Ava is a knight," Sebastian claimed. So who is a knight and who is a knave?

Ella James Aiden William Ava David Sebastian

Ella is a knight, James is a knight, Aiden is a knave, William is a knight, Ava is a knave, David is a knave, and Sebastian is a knave.

(1) Ella is a knight
(2) James is a knight
(3) Aiden is a knave
(4) William is a knight
(5) Ava is a knave
(6) David is a knave
(7) Sebastian is a knave

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

Assume Sebastian is a knight. No contradiction is found in their claim that If James is a knight then Ava is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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