13 decks of cards have been mixed. What is the minimum number of cards that must be taken out from the above-mixed cards to guarantee at least one 'four of a kind?
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.
If a shopkeeper can only place the weights on one side of the common balance. For example, if he has weights 1 and 3 then he can measure 1, 3 and 4 only. Now the question is how many minimum weights and names of the weights you will need to measure all weights from 1 to 1000? This is a fairly simple problem and very easy to prove also.
John bought 150 chocolates but he misplaced some of them. His Father asked him how many chocolates were misplaced.
He gave the following answer to him:
If you count in pairs, one remains
If you count in threes, two remain
If you count in fours, three remain
If you count in fives, four remain
If you count in sixes, five remain
If you count in sevens, no chocolate remains.
Can you analyze the statements and tell us how many chocolates were lost?
There are 20 people in an empty, square room. Each person has full sight of the entire room and everyone in it without turning his head or body, or moving in any way (other than the eyes). Where can you place an apple so that all but one person can see it?
