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Imagine you have three identical bricks and want to find the common length of their main diagonals. What is the easiest way to do this using just a measuring tape?
PLace the bricks as shown on the image below, then measure the marked segment.
Get a bagel and a knife, then cut the bagel in two pieces which end up linked to each other.
The solution is presented HERE.
This is a non-transitive dice set, i.e. every dice in it is weaker than some other dice. Can you design a non-transitive set with only 3 dice?
Remark: “Weaker” means that it loses more often than it wins.
The simplest solution is given by:
2, 2, 4, 4, 9, 9;
1, 1, 6, 6, 8, 8;
3, 3, 5, 5, 7, 7.
Another solution is given by the so-called “Miwin’s dice”. They are as follows:
1, 1, 3, 5, 5, 6;
2, 3, 3, 4, 4, 5;
1, 2, 2, 4, 6, 6.
What state does this sum spell?
BEER – BEE + HOD + DAME – DAM + ISLAND = RHODE ISLAND
You have a drawer with 10 pairs of black socks and 10 pairs of white socks. How many times do you need to blindly reach inside the drawer and take out a sock, so that you get a matching pair?
Only 3 times. Once you have two socks of the same color, they already form a matching pair.
Two sisters we are, one is dark and one is fair,
In twin towers dwelling we’re quite the pair,
One from land and one from sea,
Tell us truly, who are we?
The answer is SALT AND PEPPER.
Can you find the objects hidden in the three pictures below? You are looking for:
Coming soon.
0 > 2, 2 > 5, 5 > 0. What is this?
This is the game “Rock, Paper, Scissors”. Rock (0 fingers) beats scissors (2 fingers). Scissors (2 fingers) beats paper (5 fingers). Paper (5 fingers) beats rock (0 fingers).
A cow is tied to a 4 meter long rope. There is food, 20 meters away from the cow. However, the cow manages to go to the food and eat it. How come?
The rope is not tied to anything but the cow, so the cow is free to go to the food.
The number 229 has 9 digits, all different. Which digit is missing?
Bonus: Is the number 9991 prime?
Let the missing digit be m. Every number and the sum of its digits give the same remainder when divided by 9. The number 229 = 32 * 644 gives remainder 5 when divided by 9, and therefore 9 divides (0 + 1 + 2 + … + 9) – 5 – m = 40 – m. Thus, the missing digit is 4.
Bonus: 9991 = 10000 – 9 = 1002 – 32 = (100 – 3)(100 + 3) = 97 * 103. Therefore the number 9991 is not prime.
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