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How Logic Puzzles Can Help You Become a Better Problem Solver

I have to admit that I am a confirmed Bob 2, and Anne 1. By inference, Wayne
puzzle-head. I love crosswords, got the zero. Since clue one tells us
acrostics, and cryptograms. But I am that the second place finisher had no
becoming ever more intrigued by logic zeroes, Wayne must have finished in third
problems. For one thing they teach you place with a total of ten points. We also
how to become a more attentive listener know that he is the student who received
or reader to catch the nuances of five different scores because 4+3+2+1+0
language that can provide invaluable equals 10 and clue one tells us that only
clues to their solution. For another, student had five different scores.Clue
they teach the step-to-step process of four tells us that Bob's best subject was
processing information. These are skills writing. This means he got one four only
that are valuable for nearly all and it was in writing. He scored 0 points
reasoning situations.To illustrate the in gym. Since he scored a total of 12
process, the following is a problem I points, he must have gotten a total of 8
have composed that will take you step by points in Reading, Arithmetic and Art&
step from recognizing the essential Poetry. The clue also tells us that he
elements to the final solution. I have got the same score in two subjects. He
not provided a matrix but if you are only got one 4, so he must have gotten 2s
familiar with the technique you can or 3s in the remaining subjects. The only
construct one yourself from the numbers that add up to eight are 3, 3 and
description.I call the problem The Wilson 2. From clue 2 we know that Wayne got a 3
Elementary Subject Olympics. Ed, Bob, in arithmetic and this was a higher score
Susan, Anne and Wayne (in no particular than Bob. We now know Bob's standing and
order) are five bright 6th-Grade students all of his scores, viz, Reading 3,
attending Wilson School. They recently Writing 4, Arithmetic 2, Art and Poetry
competed in the school's annual 3, Gym 0.Clue five tells us that Anne got
competition. The subjects were: reading, the four in reading and that she didn't
writing, arithmetic, art & poetry, and finish last. Bob finished first, Wayne
gym. For scoring purposes, the winner in 3rd and Anne 2nd, or 4th. By the
each subject was awarded four points; the process of elimination, either Susan or
second place three; third, two; fourth, Ed must have finished in last place.
one; and fifth, zero. At the end of the Please remember that the last place
competition the principal said that it finisher scored a total of 8 points.
was the closest competition ever. Each Susan has been identified as having seven
competitor was within one point of the points so far and has at least another
next highest finisher. Every competitor for her second third place finish.Clue
got at least one four. From the following eight says that the third place finisher,
clues, determine the score and order of (Wayne), got a 1 in writing We now know 8
finish for each of the students. [N.B. of Wayne's total of 10 points in four
You may want to construct two different subjects. This means he must have gotten
tables, one with the names of the a score of 2 in Reading, the only
students and the subject, the other remaining blank. The rest of the clue
simply the subject and total number of tells us that the fourth place finisher
points scored in each subject.(1) Only got a zero in arithmetic. Susan got a 4
one student got 5 different scores. Bob which means that Ed or Ann finished in
scored four more points than the Fourth place.Clue nine indicates that Ed
last-place finisher. The student in got the same score in reading and
second place had no zeroes.(2) Wayne, who writing. The only scores he could have
did not finish fourth or fifth, got a got were ones or zeros. We know that Anne
four in gym and got a higher score than finished in fourth place, so Ed finished
(Bob) in arithmetic.(3) Susan finished in fifth with a total of 8 points. We
third place in two subjects but she already can account for 7 of them so he
finished first in arithmetic.(4) Bob's scored a total of 1 point in three
best subject was writing and his worst subjects. Since he got the same score in
was gym, where he got a zero.(5) Anne got reading and writing, these must be zeroes
identical scores in writing and gym and a and his one point would be in arithmetic.
four in reading. She did not finish By the process of elimination, we now
last.(6) Ed, Bob, Susan and Anne finished know that Susan finished in second place
1 through 4 in that order in art and with a total of 11 points. Furthermore
poetry.(7) Ed finished fourth in Ed, Bob, Anne and Wayne account for 9 of
arithmetic, but second in gym. He also the 10 points in reading, meaning Susan
got identical scores in reading and scored 1.In the arithmetic column we have
writing.(8) The third place finisher got now accounted for all ten points without
a one in writing; the fourth place Anne's score. Thus, her score must be
finisher a zero in arithmetic.From the zero. We're almost finished.Clue 5 reads
above we have more than enough that Anne got identical scores in writing
information to solve the problem. For one and in gym. At this point she has a total
thing, we know our students finished of 5 points. The identical scores must be
within a point ahead or a point behind 2s. That leaves he last two numbers to
their competitors. If we add up the total fill in for Susan. She got a 3 in writing
number of possible points for each and a 1 in Gym.At long last we have the
category we get 4 plus 3 plus 2 plus 1 or standings and the scores. Bob, first,
a total of ten. Since we have five reading 3, writing 4, arithmetic 2, Art
categories with ten points in each we and Poetry 3 and Gym 0.Susan, second,
have a total of 50 points. Since each reading 1, writing 3, arithmetic 4, Art
student finished within a point of each and Poetry 2 and Gym 1. Wayne is third
other, the scores will be consecutive with 2 in reading, 1 in writing, 3 in
integers such as 11,12,13,14,15 for arithmetic, zero in art and poetry and 4
example. If you want to, you can sit down in gym. Anne, who came in fourth, has the
and experiment to see which five integers following: 4 in reading, 2 in writing,
add up to fifty, but there is a simple zero in arithmetic one in Art and Poetry
algebraic formula that will give the and 2 in gym. Last but not least Ed got a
number. The smallest number will be x. zero in Reading and writing, 1 in
The next number will be x+1, then x+2, arithmetic. 4 in Art and Poetry and 3 in
X+3 and x+4. Written out x + (x+1) + gym.From a step by step approach, we
(x+2) + (x+3) + (x+4) = 50. 5x+10 = 50. began by finding the total number of
5x = 40 so x equals 8. The five integers points available from the clue about the
are 8, 9, 10, 11, 12. Now let's turn to numbers of points scored. After that we
the clues.Clue number one tells us that determined Bob finished first with 12
Bob had 4 more points than the last place points. Each clue from that point on
finisher. The last place competitor provided more information either by
scored 8 points. Bob must have scored a statement or inference. What seems at
total of twelve, which means he finished first to be an unintelligible mess gives
in first place.From Clue number two we way to logical analysis. If you enjoyed
know that Wayne did not finish 4th or it, get yourself a logic book and have a
5th. Since Bob finished first we know ball!The author, John Anderson, loves
Wayne must hsve finished 2nd or third and puzzles. He has used a number of
will have a total of 11 or 10 points.Clue different ones in his novel, The Cellini
number six gives us four actual scores. Masterpiece, written under the pen name
Ed got a 4 in art and poetry, Susan 3, of Raymond John.




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