logic puzzles

Identify the Poisoned Bottle

Problem Statement The king has hosted a dinner which is about to start in one hour and guests have arrived. The king plans to offer his exquisite wine collection to the guests. There are 16 different bottles of wines (labeled 1 through 15) available and they are to be served to the guests. The minister comes to know from a trusted source that one of the bottles is poisoned. Also, the poison takes one hour to come into affect and kill someone. It is a tough time for the king and the minister and it becomes utmost priority to identify the poisoned bottle. The only way to test the bottles ...
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Identify Safe Height by Dropping Eggs

Problem Statement If you have 2 eggs and you want to figure out what's the highest floor from which you can drop the egg without breaking it, how would you do it? What's the optimal solution to Identify Safe Height by Dropping Eggs? Note: For simplicity we can assume that the building is 100 floors high. Solution As any other aptitude problems let us list down what we know: The building is 100 floors high We have two eggs We can drop the eggs as many times as possible (if it is not broken in the previous drop) We understand that the question demands an optimal solution, but ...
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Identify Apple and Oranges Labels

Puzzle Statement There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labelled such that no label identifies the actual contents of the box it labels. Opening just one box and without looking in the box, you take out one fruit. By looking at the fruit, how can you immediately label all of the boxes correctly? Solution It might look tricky but if we can think for a while and decide upon which box to open the solution really becomes simple. Let us first note down the facts we know for sure:...
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Find the Relative Salary

Puzzle Statement Steve would like to determine the relative salaries of three coworkers using two facts: First, he knows that if Fred is not the highest paid of three, then Janice is. Second, he knows that if Janice is not the lowest paid,, then Maggie is paid the most. Is it possible to determine the relative salaries of Fred, Maggie and Janice from what Steve knows? If so, who is paid the most and who the least? Quick Solution Fact 1 says that if Fred is not the highest paid, then Janice is. This results in two situations: Fred is not the highest paid Janice is the hi...
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Identify the Murderer

Puzzle Statement The Police have three suspects for the murder of Mr. Cooper: Mr. Smith, Mr. Jones and Mr. Williams. Smith, Jones and Williams each declare that they did not kill Cooper. Smith also states that Cooper was a friend of Jones and that William disliked him. Jones also states that he did not know Cooper and that he was out of town the day Cooper was killed. William also states that he saw both Smith and Jones with Cooper the day of the killing and that either Smith or Jones must have killed him. Can you determine who the murderer was if: One of the three men is guilty, th...
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