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# f38-logical-reasoning - Logical Reasoning A Lesson in the...

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Jan. 2005 Logical Reasoning Slide 1 Logical Reasoning A Lesson in the “Math + Fun!” Series

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Jan. 2005 Logical Reasoning Slide 2 About This Presentation Edition Released Revised Revised First Jan. 2005 This presentation is part of the “Math + Fun!” series devised by Behrooz Parhami, Professor of Computer Engineering at University of California, Santa Barbara. It was first prepared for special lessons in mathematics at Goleta Family School during the 2003-04 and 2004-05 school years. The slides can be used freely in teaching and in other educational settings. Unauthorized uses are strictly prohibited. © Behrooz Parhami
Jan. 2005 Logical Reasoning Slide 3 Aging Three Years in One Year? Amy says that she was 10 years old the day before yesterday and that she will turn 13 next year. How is this possible? (Think for a few minutes before you advance to the next slide.) 2004 2005 2006 12 13 Today Yesterday The day before yesterday 10 11 This year Next year Age: Jan. 1 Dec. 31 Dec. 31

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Jan. 2005 Logical Reasoning Slide 4 Mislabeled Bags We have three bags, each holding two balls. One bag has two black balls. One bag has two white balls. One bag has one black and one white ball. The bags are labeled black, white, and mixed. None of the labels is correct, however. Correct the labeling by drawing a ball from only one bag. B W M B M W W B M W M B M W B M B W Extra challenge: The number of balls in bags is not known, but they are all black, all white, or mixed. How do you solve the puzzle In this case? Minesweeper: Example of a reasoning game
Jan. 2005 Logical Reasoning Slide 5 Making Change for a Dollar Can you have more than one dollar in change and still not be able to give exact change for one dollar? Extra challenge: What is the most amount of change that you can have and still not be able to give exact change for one dollar?

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Jan. 2005 Logical Reasoning Slide 6 River-Crossing Problems Example: Person, fox, duck, corn must cross Boat can carry the person plus one animal/thing Fox and duck should not be left together Duck and corn should not be left together P F D C There are people, animals, and things on one side of a river They must be transported to the other side There is a boat that cannot carry all of them at once There are restrictions on who can be left alone with whom or what F C P D P F C D C P F D F P D C P C F D C F P D P F D C P D C F
Jan. 2005 Logical Reasoning Slide 7

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f38-logical-reasoning - Logical Reasoning A Lesson in the...

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