A set of soccer games is to be organized in a round robin (e.g. every team plays a match against each other one time). If 45 games are played, how many teams participated?
A teacher places three coins in front of her student: 1 copper, 1 silver, and 1 gold. She tells her student, “If you tell me a true statement, you will be given one of the coins. But if your statement proves to be false, you will be given nothing.”
What should the pupil say to guarantee being given the gold coin?
Like clockwork, the bridgemaster emerges every 17 minutes to terrify those who attempt to cross the bridge. Four brave souls approach and want to cross before the bridgemaster appears. Each one travels at their own pace; 1 minute, 2 minutes, 5 minutes, and 10 minutes respectively. Additionally, they have one torch between them and cannot cross the bridge without it.
The bridge cannot sustain more than two brave souls at a time. What is the order in which they should cross?
Every year Santa changes the order in which his single line of nine reindeer will pull his sleigh (to avoid jealousy among the reindeer, obviously). This year the elves responsible for harnessing the team have been given the following instructions:
Comet behind Rudolph, Prancer and Cupid. Blitzen behind Cupid and in front of Donder, Vixen and Dancer. Cupid in front of Comet, Blitzen and Vixen. Donder behind Vixen, Dasher and Prancer. Rudolph behind Prancer and in front of Donder, Dancer and Dasher. Vixen in front of Dancer and Comet. Dancer behind Donder, Rudolph and Blitzen. Prancer in front of Cupid, Donder and Blitzen. Dasher behind Prancer and in front of Vixen, Dancer and Blitzen. Donder behind Comet and Cupid. Cupid in front of Rudolph and Dancer. Vixen behind Rudolph, Prancer and Dasher.
What is the order of the reindeer?
Insert two consecutive letters of the alphabet to make English words (can be inserted at the beginning, middle or end) and note that the letters must be consecutive within the word, e.g. mae + uv = mauve
Now try inserting three consecutive letters:
Having just received their degrees, ten friends line up in the sunshine to have their photo taken when a gust of wind blows off their morterboards (caps). Each retrieves a cap at random during the ensuing scramble. What is the probability that exactly nine of them retrieve their own cap?