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

Home > Logic
Doctor and Engineer (Posted on 2003-08-25) Difficulty: 3 of 5
One of Mr. X, his wife, their son and Mr. X's mother is an Engineer and another is a Doctor.
1. If the Doctor is a male, then the Engineer is a male.
2. If the Engineer is younger than the Doctor, then the Engineer and the Doctor are not blood relatives.
3. If the Engineer is a female, then she and the Doctor are blood relatives.
Can you tell who is the Doctor and the Engineer?

  Submitted by Ravi Raja    
Rating: 3.0000 (5 votes)
Solution: (Hide)
Mr. X is the engineer and either his wife or his son is the Doctor.

Mr. X's wife and mother are not blood relatives.
From 3, then, if the engineer is a female, the doctor is a male. However, from 1, if the doctor is a male, then the engineer must be a male.
Thus, there is a contradiction, and the engineer cannot be female (either Mr. X or his son is the engineer).

Mr. X's son is the youngest of all four and is blood relative of each of them.
So, from 2, Mr. X's son is not the engineer.

Hence, Mr. X is the engineer.

Now, Mr. X is the engineer, and obviously he is both younger than his mother and a blood relative to her. From 2, then, Mr. X's mother can not be the doctor.

So the Doctor is either his wife or his son.
It is not possible to determine anything further, or eliminate either of these possiblities.
Also, it does not even mater (for statement 2) if Mr. X or his wife are younger or older, as either way they are not blood relatives.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Ambiguous Case anyone?Mike C2007-08-30 14:57:41
but waitcat2003-08-29 18:59:04
re: (All in the family)Lee2003-08-29 00:22:19
All in the familyLawrence2003-08-28 21:53:57
re: Hmm...Charlie2003-08-28 08:42:52
Some ThoughtsHmm...dmm2003-08-28 02:06:45
solutionLee2003-08-28 01:00:09
re: SolvedCharlie2003-08-27 20:06:27
re: Solutioncatherine2003-08-27 16:15:44
SolutionSolvedrichard2003-08-27 14:44:52
solutionAnna2003-08-27 13:50:32
No Subjectcatherine2003-08-26 20:58:30
re: I have real solution!!!Charlie2003-08-26 08:53:15
re: solutionCharlie2003-08-26 08:51:15
re: the REAL solution, oopsCharlie2003-08-26 08:49:02
Solutionthe REAL solution, oopssandy2003-08-26 07:41:06
the REAL solutionsandy2003-08-26 07:39:18
solutionSteven2003-08-26 02:46:44
re: Blood Relative?DJ2003-08-25 22:58:42
QuestionBlood Relative?Gamer2003-08-25 22:48:57
I have real solution!!!paul2003-08-25 22:02:10
SolutionSolutionDJ2003-08-25 10:44:55
SolutionsolutionCharlie2003-08-25 09:18:50
Some ThoughtsNo SubjectJenna2003-08-25 09:14:46
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information