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wiki:donuts:winter2014 [2014/02/26 16:46]
jmb438
wiki:donuts:winter2014 [2014/04/30 11:15] (current)
jmb438
Line 27: Line 27:
 ===== Eggs ===== ===== Eggs =====
  
-You have two eggs and a 100 story building. You are to discover the breaking limit of the eggs by throwing them out the window on any floor. What is the minimum number of throws to discover the breaking limit? ((Junming Diao, Feb26))+You have two eggs and a 100 story building. You are to discover the breaking limit of the eggs by throwing them out the window on any floor. What is the minimum number of throws to discover the breaking limit? ((Junming Diao, Feb 26))
  
 [[wiki:​donuts:​winter2014:​eggs|answer]] [[wiki:​donuts:​winter2014:​eggs|answer]]
 +
 +===== Equation =====
 +
 +  1 2 3 4 5 6 7 8 9 = 100
 +
 +Make the above equation valid only using  the operators + - * / and ().  You cannot rearrange the order of the numbers.
 +
 +Bonus: Do it with only 3 operators. ((Dr. Warnick, Mar 5))
 +
 +
 +[[wiki:​donuts:​winter2014:​equation|answer]]
 +
 +===== An Open and Shut Case =====
 +
 +You are standing in a hallway with 100 lockers. You walk down the hall 100 times. The first time, you open every locker. The 2nd time, you close every other locker, starting with locker number 2. The 3rd time you go to every third locker. If the locker is closed, you open it; if it is closed, you open it. You continue on this way opening or closing every nth locker for your nth trip down the hall.
 +
 +After 100 trips down the hall, how many lockers will be left open? ((Josh Sypherd, Mar 12))
 +
 +[[wiki:​donuts:​winter2014:​openandshut|answer]]
 +
 +===== The Red Vase =====
 +
 +By cutting and rearranging the red vase in the image, you can create a square. What is the fewest number of cuts required to do this? ((Jay Brady, Mar. 19))
 +
 +{{:​donutquestions:​donutsvase.jpg?​400|}}
 +
 +
 +[[wiki:​donuts:​winter2014:​redvase|answer]]
 +
 +===== 100 Ping Pong Balls=====
 +
 +To play this game, two players start with a pile of 100 ping pong balls. On each players turn, they must take between 1 and 5 balls. The winner is the player that takes the final ball. If player A goes first, what should be his first move to ensure that he will take the final ball? ((Junming Diao, Mar 26))
 +
 +[[wiki:​donuts:​winter2014:​pingpong:​answer]]
 +
 +===== Trees =====
 +
 +Jack is a farmhand that works for Bill. One day, Bill tells Jack he needs him to plant some trees. They must be planed in 5 straight rows, and each row must have 4 trees. Jack drives out to the field ready to work the next morning. He is surprised when he sees only 10 trees ready to be planted. How does he accomplish his task? ((Jay Brady, Apr 2))
 +
 +[[wiki:​donuts:​winter2014:​trees|answer]]
 +
 +===== Eight Eights =====
 +  8 8 8 8 8 8 8 8 = 1000
 +Using only the '​+'​ operator, how can you make this a valid equation? ((Dr. Warnick, Apr. 16))
 +
 +[[wiki:​donuts:​winter2014:​eighteights|answer]]
 +
 +===== Questions Asked =====
 +|Richard Black | 1 |
 +|Junming Diao  | 2 |
 +| Josh Sypherd | 3 |
 +|Jay Brady     | 3 |
 +|Dr. Warnick ​  | 3 |
 +
wiki/donuts/winter2014.1393458382.txt.gz ยท Last modified: 2014/02/26 16:46 by jmb438