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.
|