A man entered his house and was about to hang up his coat when he heard his wife shout;
"No John! Don’t do it!"
There was a shot and he could hear his wife fall down. When he entered the kitchen he saw his wife and the gun lying on the floor. There was a police officer, a doctor, and a lawyer standing next to her. Peter immediately knew that the police officer had shot her.
But how did he come to know?
The Smith family is a very wealthy family that lives in a big, circular home. One morning, Mr. Smith woke up and found his gardener's body. He knew it was one of his employees who had killed him. So he asked them what they were doing in the morning and he got these replies.
Driver: "I was outside washing the car."
Maid: "I was dusting the corners of the house."
Cook: "I was starting to make lunch for later."
From the replies he knew who the killer was. Can you guess who it was?
The maid, because they lived in a circular house and she was apparently "dusting the corners" of the house at the time of the murder - the house is round, therefore it has no corners.
It was a man's birthday. He lay dead in the lounge room of his house. Next to his body was a note, written in pencil. The note read 'Happy Birthday, Friend'. The victim had a girlfriend and the police suspected her ex-boyfriend. They could find no obvious evidence. While searching the ex-boyfriend's car, the police saw an envelope with the girlfriend's address written on it. They thought they would get the handwriting checked against the note. The scientist in charge came in early to work the next day; it was 7am. He looked out his window which faced east and stared at the rising sun and it was then that he realised how to prove the ex-boyfriend killed the man, even though the girlfriend's address was not written in the same handwriting. How did he do it?
The scientist's office faced east, and the sun was coming in through the window at a very low angle. He saw some very faint shadows on the surface of the envelope. He looked closer. There were the words embossed on the paper. They read "Happy Birthday, Friend". The ex-boyfriend had forgotten that a pencil leaves an impression on paper beneath the page written on.
A couple went on holiday for three weeks. They carefully locked their house, and had a neighbor check on the place while they were gone. When they returned, the wife was distressed to lean that because of a power failure she had lost all her fine jewelry. She had hidden the jewelry in what she thought was a very safe place. She was not robbed. Her jewelry was lost by accident. Why?
In this true incident, the wife had hidden her best jewelry inside her freezer in a bag among all the frozen food. Because of a general power failure the freezer had gone off. A friendly neighbour (who had a key in order to water the plants) had tried to be helpful by throwing out all the bad food - and with it went the jewelry.
100 people are standing in a circle. The person standing at number 1 is having a sword. He kills the person next to him with the sword and then gives the sword to the third person. This process is carried out till there is just one person left. Which number survives at the last?
73rd person will survive at last.
If the number of players is the power of 2, the last person to survive will be the one who started it.
But since the number here is not the power of 2, we will take the greatest power of 2 that is less than the number of players (100) which is 64.
So when starting with 100 players - we need to kill 36 of them to get down to a power of 2 (64). Since we kill every other person starting at player 2 the last person we need to die is player 72, they will be killed by player 71 and the first person in the effective power of 2 game, who will win is player 73.
It's worth noting that this process of reducing to a power of 2 will always be completed in the first round regardless of the number of players.
Consider X players, let Y be the highest power of 2 that is less than or equal to Y
The winning player is 2 * (X - Y) + 1