Logical reasoning problem with multiple variables


Assignment:

It was unfortunate that Rose and the other four coworkers in her department live in different suburbs because otherwise they might have been able to carpool. As it stands, each of the five drives to work every day on a different route. Every day last week from Monday through Friday, one of the five arrived late to work because of a detour that sidetracked him or her. From this information and the clues below, can you determine each coworker’s full name (on last name is Hollings), detour reason, and the day?

1.    Loud was late to work the day before Janus (which wasn’t on Tuesday).
2.    The detour that Tom encountered was caused earlier in the week than the roadblock.
3.    Stu was delayed earlier in the week than when road construction caused a detour (which wasn’t on Friday).
4.    Kirkland was late later in the week than the day of the roadblock and earlier in the week than the day Art was late.
5.    Monday’s detour wasn’t caused by the accident or the water main break.
6.    Mark’s lateness (which wasn’t caused by the accident) was later in the week than Polly’s which was due to a pothole.

Enter all of the information in the chart below by using the clues. Use an X to indicate a definite “no” and a dot to show a definite “yes”. Remember: once you enter a definite “yes” (dot), place a “no” (X) in all the rest of the boxes in each row and column that contains the dot.

M= Monday T=Tuesday W=Wednesday R= Thursday F=Friday

 

Hollings

Janus

Kirkland

Loud

Marks

accident

pothole

roadblock

construction

water

M

T

W

R

F

Art

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Polly

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Rose

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Stu

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Tom

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

M

 

 

 

 

 

 

 

 

 

 

--

-

--

-

-

T

 

 

 

 

 

 

 

 

 

 

--

-

--

-

-

W

 

 

 

 

 

 

 

 

 

 

--

-

--

-

-

R

 

 

 

 

 

 

 

 

 

 

--

-

--

-

-

F

 

 

 

 

 

 

 

 

 

 

--

-

--

-

-

accident

 

 

 

 

 

--------

-------

---------

------------

-----

--

-

--

-

-

pothole

 

 

 

 

 

--------

-------

---------

------------

-----

--

-

--

-

-

roadblock

 

 

 

 

 

--------

-------

---------

------------

-----

--

-

--

-

-

construction

 

 

 

 

 

--------

-------

--------

------------

-----

--

-

--

-

-

water

 

 

 

 

 

--------

-------

---------

------------

-----

--

-

--

-

-

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Mathematics: Logical reasoning problem with multiple variables
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