All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
Non-Boxer Brother Puzzle (Posted on 2022-12-29) Difficulty: 3 of 5
There are three brothers: Adam, Brody, and Cliff. Two of the three brothers are boxers.

It is known that:

  1. The shorter of Adam and Brody is the older boxer.
  2. The younger of Brody and Cliff is the shorter boxer.
  3. The taller of Adam and Cliff is the younger boxer.
Which brother is NOT a boxer? Provide adequate reasoning for your answer.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 2 of 5 |
There are six combinations by height - ABC, ACB, etc.  By Clues 1 and 3, they yield the following results for Older/Younger boxer:

ABC = BA
ACB = BA
BAC = AA
BCA = AC
CAB = BC
CBA = AC

The third combination above is eliminated since A can't be both.
The fifth combination is eliminated because per Clue 2, C cannot be younger than B while taller than B.

This leaves two possibilities for Older/Younger boxer:

BA  or AC

In both instances, the Younger boxer is also the Taller boxer:

BA -> ABc or AcB

AC -> CAb or CbA

So either:

B is Shorter and Older than A

or 

A is Shorter and Older than C

Clue 2 says the shorter boxer can only be B or C.  Therefore, BA:

Cliff is not the boxer.





  Posted by hoodat on 2023-01-01 18:43:14
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information