Mike, Jimmy, Nader, Kevin, and Larry were the top five
finishers in the Regional 500-Mile Car Race. They
drove yellow, orange, green, red, and blue race cars, but not necessarily in
that order. Here are the facts:
A) Neither Kevin nor Larry drove the green car.
B) Kevin
finished faster than Mike and Larry.
C) The blue car finished earlier
than Larry's car and Nader's car.
D) The yellow car finished faster
than the green car and the orange car.
E) Mike's car and Larry's car
finished better than the orange car.
F) Jimmy's car finished earlier than
the blue car and the yellow car.
Based on the information above, here are the facts:
1) From (A), the green car is not driven by Kevin nor Larry.
2) From (C), the blue car is not Larry's car and
Nader's car.
3) From (E), Mike's car and Larry's car is not orange
car.
4) From (B) and (E), and Kevin's car is not orange car.
5) From (F), Jimmy's car is not blue or yellow car.
6) From (D), and (F), we conclude that Jimmy's car
finished better than blue, yellow, green, and orange car, and therefore
drove the red car, and finished first.
7) Mark with X on table below, based on information
above to indicate the car not driven by the driver, and Y to indicate the
car driven by the driver.
Driver |
Red
|
Blue
|
Yellow
|
Green
|
Orange
|
Jimmy |
Y |
X |
X |
X |
X |
Kevin |
X |
|
|
X |
X |
Larry |
X |
X |
|
X |
X |
Mike |
X |
|
|
|
X |
Nader |
X |
X |
|
|
|
8) Looking at the Orange column, we can conclude that
Nader drove the Orange Car. Looking at Larry's row, we conclude that
Larry drove the Yellow Car. Since Kevin did not drove the Green Car,
the Kevin must have driven the Blue Car. This leaves Mike as the Green
Car Driver.
9) From (F), Jimmy's Red Car was faster than the Blue
Car driven by Kevin.
10) From (C), Kevin's Blue Car was faster than Larry's
Yellow Car.
11) From (D), Larry's Yellow Car was faster than Mike's
Green Car.
12) From (E), Mike's Green Car finished better than
Nader's Orange Car.
Therefore, these were the results of the 500-Mile Car
Race:
|
Driver |
Color of Race Car |
1st Place |
Jimmy |
Red |
2nd Place |
Kevin |
Blue |
3rd Place |
Larry |
Yellow |
4th Place |
Mike |
Green |
5th Place |
Nader |
Orange |
|