Puzzle | Detective Sherlock

• Difficulty Level : Basic
• Last Updated : 04 May, 2020

Statement :
You are playing a game Detective Sherlock and you with your friends are solving a case. However, the way to the solution might be tricky and confusing. Just remember that only one of the statement is TRUE and rest three are FALSE.

1. Jack : “Britney did it”.
2. Britney : “Jack did it”.
3. Selena : “Britney’s telling the truth”.
4. Martha : “Selena’s not lying”.

Solution :
Britney did it.

We will take up every person and analyze the statements over all of them one by one.

Case 1 : Britney did it, then
Statement 1 : TRUE
Statement 2 : FALSE (as Jack did not do it)
Statement 3 : FALSE (as Britney is lying)
Statement 4 : FALSE (as Selena is lying)
Our first guess itself was right but let us confirm our analysis by analyzing the statements over others.

Case 2 : Jack did it, then
Statement 1 : FALSE (as Britney did not do it)
Statement 2 : TRUE
Statement 3 : TRUE (as Britney is not lying)
As per the conditions, three statements had to be wrong but here, we have two statements right which clearly contradict the condition.

Case 3 : Selena did it, then
Statement 1 : FALSE (as Britney did not do it)
Statement 2 : FALSE (as Jack did not do it)
Statement 3 : FALSE (as Britney is lying)
Statement 4 : FALSE (as Selena is lying)
She did not do it as all the statements are FALSE.

Case 4 : Martha did it, then
Statement 1 : FALSE (as Britney did not do it)
Statement 2 : FALSE (as Jack did not do it)
Statement 3 : FALSE (as Britney is lying)
Statement 4 : FALSE (as Selena is lying)
All four statements are FALSE in her case as well thus she did not do it.

Therefore we have proved that Britney did it.

This article is contributed by Mohit Gupta_OMG 😀. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

My Personal Notes arrow_drop_up