FBI CCU - COLD CASE UNIT -

Question

FBI CCU - COLD CASE UNIT - Case #U2P1

Mr. Gensimore, Ms. Mayers, Mr. Friedrichsen and Ms. Davis have jobs of doctor, accountant, teacher and office manager.

Mr. Friedrichsen lives near the doctor and the teacher.
Ms. Davis is not the doctor or the office manager.
Ms. Mayers is not the accountant or the office manager.
Mr. Gensimore went to lunch with the doctor.
Ms. Davis’s son is a high school student who is only seven years younger than the teacher.



Determine from the information given, which person has each occupation.


GOAL: To use the techniques of logic and proof learned in this unit to determine which person has each occupation.

ROLE: You are a private investigator, called in by the FBI to determine the occupations of each individual involved in the case. If the FBI can determine the occupations, they can solve the case.

AUDIENCE: The FBI Top Secret Cold Case Unit. CCU.

STANDARDS & CRITERIA FOR SUCCESS: Present your report to the FBI with your findings in a timely fashion. Be sure your explanation is clear, includes the jobs of each person, along with clear explanations for all your conclusions.

PRODUCT: Provide a detailed description of the logic problem to be solved, including the logical conclusion and correct answer of the problem. Present the answer in a paragraph proof or 2-column proof that cites reasoning and support for each conclusion.

Answer 1

To solve this logic problem, I used each statement in the problem as evidence, and worked through to find each person's role.

 

Mr. Friedrichsen lives near the doctor and the teacher. -> Mr. Friedrichsen is not the doctor or teacher.

Ms. Davis is not the doctor or the office manager.
Ms. Mayers is not the accountant or the office manager.
Mr. Gensimore went to lunch with the doctor. -> Mr. Gensimore is not the doctor.
Ms. Davis’s son is a high school student who is only seven years younger than the teacher. -> Ms. Davis is not the teacher.

 

Now, I can use my table to mark who cannot fill each role:

 

DOCTOR: not F, not D, not G -> must be Ms. Mayers

ACCOUNTANT: not M

TEACHER: not F, not D

OFFICE MANAGER: not D, not M

 

From my evidence, I now know that Ms. Mayers must be the doctor!

From there, I can add to my information because Mayers cannot be any of the other roles.

 

ACCOUNTANT: not M
TEACHER: not F, not D, not M -> must be Mr. Friedrichsen
OFFICE MANAGER: not D, not M

 

Now,

ACCOUNTANT: not M, not F

OFFICE MANAGER: not D, not M, not F -> must be Ms. Davis

 

Now,

ACCOUNTANT: not M, not F, not D -> must be Mr. Gensimore

 

So, for my final answer:

Ms. Mayers is the doctor.

Mr. Friedrichsen is the teacher.

Ms. Davis is the office manager.

Mr. Gensimore is the accountant.