LOGICVILLE

Mathematical Puzzles

Dual Cryptograms

Cryptarithms
Anagrams Cryptograms Doublets
Logic Puzzles Magic Word Squares Sudoku
Chess Fractal Puzzles Tangrams

 

 

 

Intellectual Puzzles
Bookstore
List of Puzzles
Analytical Puzzles
Christmas Puzzles
New Year's Puzzles
Fractal Puzzles
Easter Puzzles
Nature Fractals
Encrypted Quotations
Fractal Images
Baseball Puzzles
Daily Fractal Puzzle
Math Recreations
Algebra Placement
Cryptogram Challenge
Sudoku
Tangrams
Tangram Stories
Puzzle Categories
Thanksgiving Quotes
Christmas Quotes
Christmas Logic
New Year Resolutions
Solutions
Advertise With Us

List of Puzzles

List of Solutions

Solution to Puzzle 129.  RACE CAR DRIVERS

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

  

Support this site

From Our Books Collection

Brain Teasers! : Over 180 Quick Activities & Worksheets That Make Kids Think

Author:  Susan S. Petreshene

  cover

 

Custom Search

MX iTunes, App Store, iBookstore, and Mac App Store

 

Hosted By Web Hosting by PowWeb

2000-2013 Logicville