In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?
A man plots the murder of his wife. His plan is full proof. Nobody saw them leaving their house. He stabbed her with a knife while driving. She died on the spot. He threw her body in a valley. He threw the knife carefully wiping his finger prints on a random garbage bin. Then he went back to his home and no one was watching him this time as well.
After an hour, he was called by the local police department who informed him that his wife was murdered. They asked him to reach the scene of crime immediately. But as soon as he arrived at the crime scene, he was arrested by them.
How did the police know that he himself is the murderer?
Thirty friends were on a hiking trip when they decided to enjoy the bonfire. They assembled for it and agreed to play a game. For that, they divided themselves into five teams with seven members each, forming five rows.
Tarang football website was hacked by one of the players. Jack, the coach of Tarang has pointed out five players as the possible hacker.
Each suspected player made three statements from each suspected player and out of which two are true and one is false.
Joseph
A) I have not hacked the website.
B) I know nothing about hacking.
C) John did it.
Hazard
A) I have not hacked the website.
B) The website was attacked by one of the players.
C) I hate Shelly
Remy
A) I have not hacked the website.
B) I have never seen Oscar in my entire life.
C) I am sure John did it.
John
A) I have not hacked the website.
B) I am sure Oscar did it.
C) Joseph was lying when he said he did it.
Oscar
A) I have not hacked the website.
B) I am sure Hazard did it.
C) I used to be friend with Remy.
