All Puzzles
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I am black when clean and white when dirty. What am I?
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A poor woman and a rich woman are talking about music.
The poor woman says she has studied music and can find a song with any name in it.
The rich woman says “OK, if you can find a song with my son’s name in it, I will give you thousand dollars. His name is Demarcus-Jabari.”
The poor woman gives her answer and is instantly $1,000 richer.
What was her answer?
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What comes one time in today, three times in tomorrow and never in the future?
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A vendor is handing out free ice cream cones in alphabetical order of flavor, each cone being a different flavor. Kids are lined up at the ice cream truck, and you’re first in line! The vendor will hand you ice cream cones one at a time, and you must decide whether to keep the cone or pass it on to the next kid in line. The first cone is guaranteed to be chocolate.
You like all flavors equally, so you want to randomly select a cone with each flavor having an equal chance of being chosen. Unfortunately, you don’t know the total number of flavors, but being the little hipster that you are, you are carrying a pocket calculator which can generate random numbers from 1 to X, where X is a value you punch in. How can you decide which flavor to keep?
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There is an island of monks where everyone has either brown eyes or red eyes. Monks who have red eyes are cursed, and are supposed to commit suicide at midnight. However, no one ever talks about what colour eyes they have, because the monks have a vow of silence. Also, there are no reflective surfaces on the whole island. Thus, no one knows their own eye colour; they can only see the eye colours of other people, and not say anything about them. Life goes on, with brown-eyed monks and red-eyed monks living happily together in peace, and no one ever committing suicide. Then one day a tourist visits the island monastery, and, not knowing that he’s not supposed to talk about eyes, he states the observation “At least one of you has red eyes.” Having acquired this new information, something dramatic happens among the monks. What happens?
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draw a square. divide it into four identical squares. remove the bottom left hand square. now divide the resulting shape into four identical shapes.
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An old farmer died and left 17 cows to his three sons. In his will, the farmer stated that his oldest son should get 1/2, his middle son should get 1/3, and his youngest son should get 1/9 of all the cows. The sons, who did not want to end up with half cows, sat for days trying to figure out how many cows each of them should get.
One day, their relative came by to see how they were doing after their father’s death. The three sons told him their problem. After thinking for a while, the relative said: “I’ll be right back!” He went away, and when he came back, the three sons could divide the cows according to their father’s will, and in such a way, that each of them got a whole number of cows.
What was the relative’s solution?
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