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Q: Effective Problem Solving ( Answered,   3 Comments )
Question  
Subject: Effective Problem Solving
Category: Miscellaneous
Asked by: bbush-ga
List Price: $3.00
Posted: 10 Jun 2004 11:32 PDT
Expires: 10 Jul 2004 11:32 PDT
Question ID: 359284
Smith, Johnson, Cohen live in Brookln, Manhattan, and the Bronx (not
necessaril in that order. They are flying to New York City in a Jet
whose pitol, co-pilot, and navigator are named Smythe, Jensen, and
Kohen. It is known that:
a. Cohen lives in the Bronx
b.Johnson is deaf and mute
c.Smythe had a brief fling with the co-pilot's wife
d. The passenger whos name sounds like the navagitors's lives in the
Bronx.The navigator, however, lives in Manhattan.
The navagitor's next door neighbor, one of the passengers, is a famous
opera singer.
What are the positions of Smith, Jensen, and Kohn? (hint: There are 4
sets of information. Two matrixs might be useful.
Answer  
Subject: Re: Effective Problem Solving
Answered By: aceresearcher-ga on 10 Jun 2004 13:48 PDT
 
Greetings, bbush!

I love these kinds of problems, and used to work them frequently when
I was younger.

To keep everything straight, it's easier to draw a grid, starting with
the initial information:

Passengers   Borough      Profession or other Characteristic
------------------------------------------------------------
Smith                        
Johnson                   deaf-mute
Cohen        Bronx         

Crew         Borough      Flight Position
------------------------------------------------------------
Smythe                    not the Co-Pilot
Jensen                
Kohen                

Then, we'll try to fill out the blanks using deductive reasoning.

The passenger whose name sounds like the navigator's lives in the
Bronx. Since passenger Cohen lives in the Bronx, Kohen must be the
Navigator, who lives in Manhattan.

If Smythe (who had a fling with the Co-Pilot's wife) is not the
Co-Pilot and not the Navigator (Kohen is the Navigator), Smythe must
be the Pilot.

Since Kohen the Navigator lives in Manhattan, Kohen's neighbor the
passenger must live in Manhattan, too -- so the neighbor is *not*
Cohen, who lives in the Bronx. Since that neighber is a famous opera
singer, they can't be deaf-mute, either, so that neighbor in Manhattan
can not be Johnson -- thus, they must be Smith. That leaves Johnson in
Brooklyn.

Passengers   Borough      Profession or other Characteristic
------------------------------------------------------------
Smith        Manhattan    famous opera singer   
Johnson      Brooklyn     deaf-mute
Cohen        Bronx         

Crew         Borough      Flight Position
------------------------------------------------------------
Smythe                    Pilot
Jensen                    Co-Pilot
Kohen        Manhattan    Navigator

Usually, in these problems, enough clues are given to enable all of
the blanks to be filled in. However, in this case, we are not given
enough information to determine Cohen's profession, or in which New
York City Boroughs Smythe and Jensen live.

However, we do know the positions of the flight crew:
Smythe      Pilot
Jensen      Co-Pilot
Kohen       Navigator

Thanks for posting a fun brain-teaser!

Regards,

aceresearcher
Comments  
Subject: Re: Effective Problem Solving
From: mathgeek314-ga on 10 Jun 2004 12:13 PDT
 
I came up with a different answer. 

Cohen (passenger) is said to live in the Bronx (fact a). The passenger
who's name sounds like the Navigator lives in the Bronx (fact d).
Since Cohen lives in the Bronx I would then Kohen is the navigator.
Otherwise Johnson would live in the Bronx.
Subject: Re: Effective Problem Solving
From: aceresearcher-ga on 10 Jun 2004 13:03 PDT
 
Greetings, bbush!

I love these kinds of problems, and used to work them frequently when
I was younger.

To keep everything straight, it's easier to draw a grid, starting with
the initial information:

Passengers   Borough      Profession or other Characteristic
------------------------------------------------------------
Smith                        
Johnson                   deaf-mute
Cohen        Bronx         

Crew         Borough      Flight Position
------------------------------------------------------------
Smythe                    not the Co-Pilot
Jensen                
Kohen                

Then, we'll try to fill out the blanks using deductive reasoning.

The passenger whose name sounds like the navigator's lives in the
Bronx. Since passenger Cohen lives in the Bronx, Kohen must be the
Navigator, who lives in Manhattan.

If Smythe (who had a fling with the Co-Pilot's wife) is not the
Co-Pilot and not the Navigator (Kohen is the Navigator), Smythe must
be the Pilot.

Since Kohen the Navigator lives in Manhattan, Kohen's neighbor the
passenger must live in Manhattan, too -- so the neighbor is *not*
Cohen, who lives in the Bronx. Since that neighber is a famous opera
singer, they can't be deaf-mute, either, so that neighbor in Manhattan
can not be Johnson -- thus, they must be Smith. That leaves Johnson in
Brooklyn.

Passengers   Borough      Profession or other Characteristic
------------------------------------------------------------
Smith        Manhattan    famous opera singer   
Johnson      Brooklyn     deaf-mute
Cohen        Bronx         

Crew         Borough      Flight Position
------------------------------------------------------------
Smythe                    Pilot
Jensen                    Co-Pilot
Kohen        Manhattan    Navigator

Usually, in these problems, enough clues are given to enable all of
the blanks to be filled in. However, in this case, we are not given
enough information to determine Cohen's profession, or in which New
York City Boroughs Smythe and Jensen live.

However, we do know the positions of the flight crew:
Smythe      Pilot
Jensen      Co-Pilot
Kohen       Navigator

Thanks for posting a fun brain-teaser!

Regards,

aceresearcher
Subject: LSAT?
From: daytrader76-ga on 10 Jun 2004 18:12 PDT
 
I wish I had seen Google Answers before I took my LSAT.

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