Tutorial 1

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Tutorial 1

  1. 1. Tutorial 1.1
  2. 2. Question 1: The King’s Elephant Problem  Question: Once upon a time the King of Siam asked his warriors to measure the weight of an elephant. However the weight of the elephant was too heavy to be measured by the biggest weighing machine available. Your task is to help the warriors to solve the problem.
  3. 3. ?? Kg
  4. 4.  Solution: 1. Put the elephant onto a boat. 2. Measure the displacement by looking at the water-line, and record this mark. 3. Remove the elephant. 4. Add known weights to the boat (i.e 1kg weights) until the water level reaches that of the elephant. 5. Then, count and calculate the weight.
  5. 5. Question 2: Abu Nawas’ Problem  Question: In one of the stories in ‘One Thousand and One Night’, Abu Nawas would only allow any traveller to fetch water from the only well in the desert after solving the following problem: The traveller were given a 3-litre container and a 5-litre container. They have to measure exactly four and seven litres of water using the containers above. Your are required to help the travellers to solve the problem.
  6. 6. 3 litre 5 litre
  7. 7.  Solution: 1. Fill the 5-litre container and pour water from it into the 3- litre container until it is full. 2. This leaves 2 litres in the 5-litre container. 3. Empty the 3-litre container and pour the 2 litres of water from the 5-litre container into the 3-litre container. 4. Fill the 5-litre container again. 5. Fill the 3-litre container from the 5-litre container. 6. Since the 3-litre bottle had 2 litres of water, only one litre is transferred leaving exactly 4 litres of water in the 5-liter jug. 7. The fill the 3-litre container, so the sum of the water in the both container will be exactly 7 litres.
  8. 8. 5 litre 3 litre

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