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Solution to Puzzle L-7.  SUMMER VISIT

Alice, Bobby, Cathy and Donald each drove their car to visit a different city last summer.  These cities, not in their respective order, are Chicago, New York, Miami, and Los Angeles.   Their cars, not in their respective order,  were Honda, Toyota, Buick, and Mazda.  

To solve this puzzle, create tables below with Y representing YES, and X representing NO.

Bobby drove a Toyota. 

  Honda Toyota Buick Mazda
Alice   X    
Bobby X Y X X
Cathy   X    
Donald   X    

The Honda went to Los Angeles. 

 

Honda

Toyota

Buick

Mazda

Chicago

X

 

 

 

Los Angeles

Y

X

X

X

New York

X

 

 

 

Miami

X

 

 

 

Since Bobby did not drove the Honda, he did not go to Los Angeles.

Cathy went to Miami.

  Chicago Los Angeles New York Miami
Alice       X
Bobby   X   X
Cathy X

X

X Y
Donald       X

Since Cathy went to Miami, she did not drove the Honda.

 

Honda

Toyota

Buick

Mazda

Alice

 

X

 

 

Bobby

X

Y

X

X

Cathy

X

X

 

 

Donald

 

X

 

 

Donald did not drove the Honda.  Therefore Alice drove the Honda.

 

Honda

Toyota

Buick

Mazda

Alice

Y

X

X

X

Bobby

X

Y

X

X

Cathy

X

X

 

 

Donald

X

X

 

 

Since Alice drove the Honda, she went to Los Angeles.

  Chicago Los Angeles New York Miami
Alice X Y X X
Bobby   X   X
Cathy X

X

X Y
Donald   X   X

Donald did not go to New York.  Therefore, Bobby went to New York, and Donald went to Chicago.

  Chicago Los Angeles New York Miami
Alice X Y X X
Bobby X X Y X
Cathy X

X

X Y
Donald Y X X X

Since Bobby drove the Toyota, the Toyota went to New York.

 

Honda

Toyota

Buick

Mazda

Chicago

X

X

 

 

Los Angeles

Y

X

X

X

New York

X

Y

X

X

Miami

X

X

 

 

The Mazda did not go to Chicago, therefore it went to Miami, and the Buick went to Chicago.

 

Honda

Toyota

Buick

Mazda

Chicago

X

X

Y

X

Los Angeles

Y

X

X

X

New York

X

Y

X

X

Miami

X

X

X

Y

Based on the above tables, we conclude that:

Alice drove the Honda to Los Angeles.

Bobby drove the Toyota to New York.

Cathy drove the Mazda to Miami.

Donald drove the Buick to Chicago.

 

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Bits and Beyond ...

PLATONIC SOLIDS

Platonic solids are regular geometric solids with regular plane faces.  There are only five platonic solids.  These are the cube, tetrahedron, octahedron, icosahedrons, and dodecahedron.  The cube has six faces, each of which is a square.  The tetrahedron has four equilateral triangular faces.  The octahedron has eight equilateral triangular faces.  The icosahedron has twenty equilateral triangular faces.  Lastly, the dodecahedron has twelve equilateral pentagonal faces.

 

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