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This is an elegant word puzzle that at first appears to be a math problem But candidates should quickly understand that something else is being called for here
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Max is trapped on a heavily forested island that s a narrow strip of land 10 miles long A fire has started on the south end and is moving toward Max at the rate of 1 mile per hour fed by a wind from the south at 2 miles per hour What can Max do to save himself from burning to death Assume that Max can t swim and he has no devices of any kind
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Hint: Think backburning, Solution: Max needs to set a controlled second fire and take advantage of the dead zone that results from the controlled burn Max doesn t even need a match or lighter since the current fire is moving slowly enough that he can get a light from it, bring it a few miles downwind of the fire, and then start the new fire Eventually the first fire will reach
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REASONING PUZZLES THAT DON T REQUIRE MATH
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the origin of the controlled fire and extinguish itself from lack of fuel This practice is called backburning
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Extra credit: Max can jump in the water and drown It satisfies the challenge since Max does not burn to death
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73 UNCERTAIN CARDS
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What is out of sight is often out of mind Only about 20 percent of people get the right answer to this seemingly simple puzzle because of that truism This type of puzzle is known as the Wason selection task, named after the psychologist Peter Wason who described it in 1966 The swindle here is that people prefer to reason from sure things Because people shy away from reasoning about things that are unknown or uncertain, they will select clues that mislead them
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Identify which cards you need to turn over to test the following rule: if there is a vowel on one side of the card, there is an even number on the other side (See Figure 44)
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Hint: Don t be afraid to reason from uncertainty As always, consider the obvious choices and articulate why you reject them In this case, the two most popular obvious choices are to select just the A card or the A and 4 cards Let s take these options one at a time because they both have merit Turning over the A card allows us to test the rule that a vowel on one side (A is a vowel) requires an even number on the other side If there s an odd number on the other side, the rule has been successfully tested and rejected But if there is an even number, can we say that the rule has been successfully tested No, because perhaps
some other condition accounts for the even number Perhaps letters made up of only straight lines is the property associated with even numbers If a candidate gets this far, he or she will argue that the A card and the 4 card together can test the rule That s wrong, too Four is an even number, and the rule says that if there s a vowel on one side, then there s got to be an even number on the other side It doesn t say that only vowel cards have even numbers Say there s a Q on the other side of the 4 card or a picture of a giraffe It wouldn t disprove the rule Whether there s a vowel or a consonant or something else, it makes no difference The 4 card is irrelevant Actually, you need two cards: the A card and the 9 card Why The 9 card represents a key test of the rule because if there is a vowel on the other side of the 9, it disproves the rule Because the A card is the only vowel card and the 4 is the only evennumber card, it is tempting for candidates to jump to the faulty conclusion that they should turn over the 4 The better strategy is to push one s mind to reason from uncertainty You know (or hope) there s a letter vowel or consonant behind the 9 card, but you can t see it so you downplay its significance The technical term for this is disjunction: an either-or situation where exactly one of the two or more mutually exclusive outcomes is true When a problem presents a disjunction, the trick is to list all the possibilities and reason from each of them What if the unseen letter is a vowel What if the unseen letter is a consonant
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