Eight eggs look identical except one is lighter. How can you weigh only 2 times on a balance scale to find out which one is lighter?
Category: Puzzles
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3 Measuring glasses.
There are 3 glasses. The biggest one can hold 24 ounces. The medium one can hold 11 ounces and the smallest one can hold 5 ounces. Now you have 24 ounces of soft drink in the largest glass. Can you use just these 3 glasses to make the largest glass contain 12 ounces of soft drink by pouring soft drink from one glass to another?
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Weights of pills
You have 5 jars of pills. Each pill weighs 10 gram, except for contaminated pills contained in one jar, where each pill weighs 9 gm. Given a scale, how could you tell which jar had the contaminated pills in just one measurement?
You have two jars, 50 red marbles and 50 blue marbles. A jar will be picked at random, and then a marble will be picked from the jar. Placing all of the marbles in the jars, how can you maximize the chances of a red marble being picked? What are the exact odds of getting a red marble using your scheme?
as
The problem: If you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts?
- Fill the 5L container
- Empty the 5L container into the 3L container.
- Empty the 3L container and then re-fill it with the 2L left in the 5L container.
- Refile the 5L container.
- Pour the five liter container int the 3L container which already contains 2L.
Now the 5L container contains (5 – (3-2))L or the desired 4L