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Logic Matrix Puzzle

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1)Smith, Johnson, and Cohen live in Brooklyn, Manhattan, and the
Bronx (not necessarily in that order).They are flying to New York
City in a jet whose pilot, copilot, and navigator are named
Smythe, Jenson, and Kohn (again, not necessarily respectively).
It is known that
a. Cohen lives in The Bronx.
b. Johnson is deaf and mute.
c. Smythe had a brief fling with the copilot's wife.
d. The passenger whose name sounds like the navigator's lives in
Brooklyn. The navigator, however, lives in Manhattan.
e. The navigator's next-door neighbor, one of the passengers, is a famous
opera singer.
What are the positions of Smythe, Jenson, and Kohn? (Hint:There
are four sets of information. Two matrices might be useful.)
The following two situations were reported to me by readers of
the first edition of this book. For each one, what is the next step
that you would take?

2) An anthropologist discovers an isolated tribe whose written alphabet
contains only six letters (call the letters A, B, C, D, E, and F).
The tribe has a taboo against using the same letter twice in the
same word. It's never done. If each different sequence of letters
constitutes a different word in the language, what is the maximum
number of six-letter words that the language can employ?

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https://brainmass.com/philosophy/logic-critical-thinking/logic-matrix-puzzle-86903

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Solution Summary

Instructions are provided for solving a deductive reasoning puzzle using a matrix to organize information. Limited information is provided to begin with; by reasoning deductively, further information may be inferred.

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A logic problem pertaining to coins and a fountain

Hi! Any assistance to answer the logic problem below is greatly appreciated:

Smitty isn't superstitious, but whenever she finds a coin in the street, she makes a wish and tosses it into a fountain. Last week, she hit the sidewalk jackpot. On each of six days (Monday through Saturday), she found a U.S. coin of a different denomination (penny, $0.01; nickel, $0.05; dime, $0.10; quarter, $0.25; half dollar, $0.50; dollar, $1.00). Though she was on a different street when she found each coin, she was fortunate enough to find a fountain in a different building (one was the Veranda Restaurant) each time, and she made a different wish (one was for a Monkees reunion) at each one. From the information provided, determine the day and street upon which Smitty found each coin and the building fountain she went to and the wish she made for each one.

1) The value of the coin Smitty found on Alder Street was exactly twice the value of the one she tossed into the fountain at the Harris Hotel. The value of the coin she found on Wednesday was exactly five times the value of the coin she found on First Street.

2) The value of the coin she found on Saturday was exactly five times the value of the coin she tossed into the fountain at State Bank. The value of the coin on which she wished to win the lottery was exactly five times the value of the coin she found on Thursday.

3) The coin on which she wished she could visit Rome wasn't a penny. The coin she took to the City Hall wasn't a nickel. She found the dollar at some point later in the week than she found the coin she took to the State Bank, but at some point earlier in the week than she found the coin on Betts Street.

4) She found a coin on Elm Street at some point later in the week than she found the one she took to Updike Building (where she wished for sunny weather), but at some point earlier in the week than she found the one on which she wished the Cubs would win the World Series.

5) Three coins that she found earlier than Friday are the quarter, the one she found on Cherry Street, and the one on which she wished to win the lottery. She didn't find the half dollar on Saturday.

6) The six coins are the one she found on Delta Street, the one she tossed into the fountain at the Updike Building, the one she tossed into the fountain at the Walpole Building, the one on which she wished for a prosperous year, the nickel, and the one she found on Tuesday.

Day Coin Street Building Wish

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