There was once a college that offered a class on probability applied to the real world. The class was relatively easy, but there was a catch. There were no homework assignments or tests, but there was a final exam that would have only one question on it. When everyone received the test paper it was a blank sheet of paper with a solitary question on it: 'What is the risk?'.Most students were able to pass, but only one student received 100% for the class! Even stranger was that he only wrote down one word!
What did he write?
At a party, there are five people and a whole round cake lying at the centre of the table. Only four people will make a cut and take their piece and the last one will get the remaining piece on the table. How can they make sure that everyone gets a 1/5th of the piece?
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.
John is pretty weird. He likes toffees but hates chocolates. He loves books but never reads. He likes to build his troops in an online game but does not proceed with the war. He likes to go swimming but is afraid of water.
Seeking this behaviour, can you tell whether he likes balloons and parties?
A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?