3. You are given three unmarked water jugs. You know, however, that Jug A holds 8 litres of water, Jug B holds 5 litres,

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3 You Are Given Three Unmarked Water Jugs You Know However That Jug A Holds 8 Litres Of Water Jug B Holds 5 Litres 1 (214.34 KiB) Viewed 31 times

3. You are given three unmarked water jugs. You know, however, that Jug A holds 8 litres of water, Jug B holds 5 litres, and Jug C holds 3 litres. Jug A is full initially; the others are empty. Give the sequence of pourings which will equally divide the contents of Jug A into Jugs A and B (i.e., into 4 litres and 4 litres). Clearly you must not discard any water. Also, you may not add water from any other sources and you may not make any marks on the containers!!!! (found in Atwood and Polson, 1976, A process model for water jug problems. Cognitive Psychology.) 4. You are down at the edge of a river with two empty containers: one is exactly nine litres in size and the other is exactly four litres in size. You must return home with exactly six litres of water. You must measure six litres with only the two containers. You may pour water into and out of the containers at the river's edge, but when you leave, you must have exactly six litres. Give the sequence of pourings. Remember, no marks on the containers!!! (found in The Act of Creation by Arthur Koestler, p. 655.) 6. The classic cryptarithmatic problem: DONALD GERALD + ROBERT Assign a different number (including 0) to each different letter such that the values of the numbers add correctly. Each letter has only one number; each number has only one letter; each repeated letter repeats the number. This is not a trial-and-error problem!!! Oh yes, there's a hint: the letter D = 5, meaning that all Ds are 5s. (from Newell and Simon, 1972, Human Problem Solving.)