In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly. The Question: How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?
Hint: In a contest…
✨ It is not possible to guess only three fruits correctly: the fourth fruit is then correct too! So nobody has guessed three fruits correctly and 123-43-39-31 = 10 people have guessed four fru
In a pond there are some flowers with some bees hovering over the flowers. How many flowers and bees are there if both the following statements are true: 1. If each bee lands on a flower, one bee doesn’t get a flower. 2. If two bees share each flower, there is one flower left out.
Hint: In a pond there are some flowers with some bees hovering over the flowers…
In marble walls as white as milk, Lined with skin as soft as silk, Within a fountain crystal clear, A golden apple does appear. No doors are there to this stronghold— Yet thieves break in and steal the gold.
In spring I am gay in handsome array; in summer more clothing I wear; when colder it grows I fling off my clothes; and in winter quite naked appear. What am I?
Hint: In spring I am gay in handsome array; in summer more clothing I wear; when colde…
It goes up, but at the same time goes down. Up toward the sky, and down toward the ground. It’s present tense and past tense too, come for a ride, just me and you. What is it?
Joe and Sally where sitting in their family room one night. While Joe was watching T.V, his wife Sally was reading. All of a sudden the power went out and Joe decided to go to bed, but Sally kept on reading. With no use of artificial light, Sally kept on reading. How?
Hint: Joe and Sally where sitting in their family room one night…
✨ Sally was blind, she was reading a book by Braille
John was very tired after a long day of work. He went to bed at 10 p.m., wound his alarm clock and set it for noon the next day. Since John fell asleep almost immediately, how many hours of sleep did he get before the alarm woke him?
Hint: John was very tired after a long day of work…
✨ Two hours. Wind-up clocks can't be set more than 12 hours in advance
Mary was working in a chemistry lab with a mixture of chemicals that was 90% water and weighed 20 pounds. After returning to the lab from a weekend break, she calculated the mixture was now 50% water. How much does the mixture now weigh? For purposes of this puzzle, assume the non-water part of the mixture was not affected by evaporation.
Hint: Mary was working in a chemistry lab with a mixture of chemicals that was 90% wat…