Riddle: Tom volunteered to be the chief organizer for the world's tether ball championships. There were 657 contestants from around the world. The tournament was set up whereby the winner would advance and the loser would be eliminated. Since there was an odd number of participants, the initial pairing leaves one player out. That player gets a bye and automatically advances to the next round. How many matches will Tom have to schedule to determine the tether ball champion?
Riddle: My first may be fashioned of iron or wood, And at window or door for safety is placed; In village or town, it does more harm than good, Leading people their health, time, and money to waste. My second's a lady, bewitching and fair, And for love of her people will labor and strive; Will rise before dawn, and be wearied with care, And pursue her with ardor as long as they live. My whole is what ladies admire and approve, The shopkeeper's boast-the purchaser's prize; 'Tis a ninepenny chintz-'tis a one-shilling glove- It is something which makes people open their eyes.
What am I?
Riddle: 'Tis found in our troubles, 'tis mixed with our pleasures, 'Tis laid up above with our heavenly treasures; 'Tis whispered in heaven, and 'tis muttered in hell, And it findeth a place in each sybilline spell; In Paradise nestled, 'mid Eden's fair flowers, It has sported with Eve in rose-perfumed bowers; 'Tis muttered in curses, yet breathed in our prayers; From the path of our duty it tempts us in snares. Deep, deep in our hearts you will find it engraved; Though in misery sunk, yet from sin it is saved. 'Tis found in the stream that flows on to the ocean; Though in bustle forever, 'tis ne'er in commotion. 'Tis wafted afar o'er the land in each breath; In the grave 'tis decaying-you'll find it in death. It is floating away on the broad stream of time, Yet it findeth a place in eternity's clime. In the legends of nations it holdeth a place; There's no charm without it to the beautiful face. In thunder you'll hear it, if closely you listen; In moonbeam and sunbeam forever 'twill glisten. In the dew-drop it sparkles; 'tis found in the forest; It whispers in peace when our need is the sorest. What am I?
Riddle: A hundred stones are placed, in a straight line, a yard distant from each other. How many yards must a person walk, who undertakes to pick them up, and place them in a basket stationed one yard from the first stone?
Answer: In solving this question it is clear that to pick up the first stone and put it into the basket, the person must walk two yards, one in going for the stone and another in returning with it; that for the second stone he must walk four yards, and so on increasing by two as far as the hundredth, when he must walk two hundred yards, so that the sum total will be the product of 202 multiplied by 50, or 10,100 yards. If any one does not see why we multiply 202 by 50 in getting the answer, we refer him to his arithmetic.
Riddle: I am not found on any ground, But always in the air; Though charged each cloud with thunder loud, You can not find me there. Now, if from France you choose to dance Your way just into Spain, I there am seen, and near the queen, In hail, in mist, and rain.
What am I?
Riddle: Walking home one day, you take a short cut along the train tracks. The tracks cross a narrow bridge over a deep gorge. At the point you are 3/8 of the way across the bridge, you hear the train whistle somewhere behind you. You charge across the bridge, and jump off the track as the train is about to run you down. As it happens, if you had gone the other way, you would have reached safety just before being run over as well. If you can run ten miles per hour, how fast is the train moving?
Answer: The train is moving at 40 miles per hour. Imagine that a friend is walking with you. When the train whistle blows, you head away from the train, he heads toward it. When he reaches safety, you will be 6/8 (or 3/4)of the way across the bridge, and the train will have just reached the bridge. For the train to cross 4/4 of the bridge in the time you cross the remaining 1/4, the train must be moving four times your speed.
Riddle: Twelve flags stand equidistant along the track at the stadium. The runners start at the first flag. A runner reaches the eighth flag 8 seconds after he starts. If he runs at an even speed, how many seconds does he need altogether to reach the twelfth flag?
Answer: Not 12 seconds. There are 7 segments from the first flag tot the eighth, and 11 from the first to the twelfth. He runs each segment in 8/7 seconds; therefore, 11 segments take 88/7= 12 4/7 seconds.