Brain Teasers & Puzzles

 7948 views
 3 answers
 8 votes

Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go “Aye”, the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.
What is the maximum number of coins the captain can keep without risking his life?
View SolutionSubmit Solution 76919 views
 6 answers
 4 votes

In a country where everyone wants a boy, each family continues having babies till they have a boy. After some time, what is the proportion of boys to girls in the country? (Assuming probability of having a boy or a girl is the same)
View SolutionSubmit Solution 66859 views
 5 answers
 4 votes

Dr.Willam wants to operate for three different persons who were wounded.
But he had only two surgical gloves.
There is not any blood contact between the three persons.How can Dr.Willam operate for the three people with two pair of surgical gloves?
View SolutionSubmit Solution 5813 views
 1 answers
 4 votes

 6781 views
 3 answers
 4 votes

 16049 views
 1 answers
 4 votes

100 persons are standing in line, each facing the same way. Each person is wearing a hat, either red or blue, but the hat color is not known to the person wearing the hat. In fact, a person knows the hat color only of those persons standing ahead of him in line.
Starting from the back of the line (that is, with the person who can see the hat colors of all of other 99 persons), in order, and ending with the person at the head of the line (that is, with the person who can see the hat color of no one), each person exclaims either “red” or “blue”. These exclamations can be heard by all. Once everyone has spoken, a score is calculated, equal to the number of persons whose exclamation accurately describes their own hat color.
What strategy should the 100 persons use in order to get as high a score as possible, regardless of how the hat colors are assigned? (That is, what strategy achieves the best worstcase score?)
For example, if everyone exclaims “red”, the worstcase score is 0. If the first 99 persons exclaim the color of the hat of the person at the head of the line and the person at the head of the line then exclaims the color he has heard, the worstcase score is 1. If every other person exclaims the hat color of the person immediate in front and that person then repeats the color he has just heard, then the worstcase score is 50. Can you do better?
Hint: Instead of using just red and blue as the possible hat colors and exclamations, use N different colors.
View SolutionSubmit Solution 27344 views
 1 answers
 3 votes
More puzzles to try
What is the logic behind these ?
3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »Five greedy pirates and gold coin distribution Puzzle
Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »Probability of having boy
In a country where everyone wants a boy, each family continues having babies till they have a boy. After some ...Read More »Defective stack of coins puzzle
There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »Dr. Willam and surgical gloves puzzle
Dr.Willam wants to operate for three different persons who were wounded. But he had only two surgical gloves. There is ...Read More »Which clock works best?
Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »To which one will the needle touch 1 OR 2
In the gear arrangement, To which one will the needle touch, 1 OR 2Read More »Which letter replaces the question mark
Which letter replaces the question markRead More »Overthrow your math teacher!
Some numbers are very mysterious. They are all integers. They have more than one digit. If you multiply them with ...Read More »The Puzzle of 100 Hats
100 persons are standing in line, each facing the same way. Each person is wearing a hat, either red or ...Read More »Magical flowers!!
A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »How many times a day do all three hands of analog watch overlaps?
There is a perfectly accurate analog watch with hour, minute, and second hands. How many times a day do all three ...Read More »Tuesday, Thursday what are other two days staring with T?
Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »How could only 3 apples left
Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »How Many Eggs ?
A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »Minimum number of persons needed to cross a Desert
In the middle of the confounded desert, there is the lost city of “Ash”. To reach it, you will have ...Read More »Lateral thinking sequence Puzzle
Solve this logic sequence puzzle by the correct digit 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »How did he know?
A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »Pizza Cost Math Brain Teaser
Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »Which room is safest puzzle
A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »