## Runs Around

What runs around the whole yard without moving?

**SOLUTION**

The answer is FENCE.

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What runs around the whole yard without moving?

The answer is FENCE.

Mick, Rick

Clearly, Mick should not aim for Rick, because if he kills him, then he will be killed by Nick. Similarly, Nick should not aim for Mick, because if he kills him, then he also will be killed by Nick. Therefore, if Nick ends up against alive Mick and Rick, he will aim at Rick, because would prefer to face off a weaker

Now if Mick shoots at Nick and kills him, then he will have to face off Rick with chance of survival less than 1/3. Instead, if he decides to shoot in the air, then he will face off Rick or Nick with chance of survival at least 1/3. Therefore Mick’s strategy is to keep shooting in the air, until he ends up alone against one of his opponents.

How can a baby fall out of a 30-story building onto the ground and still be alive?

The baby fell from the first floor.

Which is the missing number in the yellow circle?

The missing number is 12. Each number is equal to the sum of the digits of the numbers pointing towards it.

You have a 3 liter jug, a 5 liter jug, and an infinite amount of tap water. How can you measure exactly 4 liters of water using the jugs?

Call the 3 liter jug “small” the 5 liter jug “large”.

- Fill the large jug with water.
- Pour 3 liters of water from the large jug into the small jug.
- Empty the small jug with water.
- Pour the remaining 2 liters of water from the large jug into the small jug.
- Fill the large jug with water.
- Pour water from the large jug into the small jug, until the small jug is full.

Now there are exactly 4 liters of water in the large jug.

Someone tells you: “I’ll bet you $1 that if you give me $3, I will give you $5 in return”. Is this a good bet?

You should not accept the bet and give him $3. If the person gives you the $5, then you would have given him $1+$3=$4, and you would make a profit of $1. However, the person can simply not give you anything and you will lose $3-$1=$2.

At some point in Leonel Messi’s career, the football player had less than 80% success when performing penalty kicks. Later in his career, he had more than 80% success when performing penalty kicks. Show that there was a moment in Leonel Messi’s career

Let us see that it is impossible for Messi to jump from under 80% success rate to over 80% success rate in just one attempt. Indeed, if Messi’s success rate was below 80% after N attempts, then he scored at most 4N/5 – 1/5 = (4N-1)/5 times. If his success rate was above 80% after N+1 attempts, then he scored at least 4(N+1)/5 + 1/5 = (4N-1)/5 + 6/5 times. However, Messi can not score more than one goal in a single attempt, which completes the proof.

There were five men going to church and it started to rain. The four that ran got wet and the one that stood still stayed dry.

Four of the men were carrying a dead man in a coffin to his funeral.

What day would yesterday be if Thursday was 4 days before the day after tomorrow?

The answer is Friday.

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