Question 1198775: Because of the effect of the TRAIN LAW, Anna, Jennifer, and Khaeh each decided to take two jobs, but
no two have the same occupation. The occupations are nurse, accountant, singer, architect, cartoonist,
and interior designer. Given the information below, determine the occupations of each individual.
a. The nurse had lunch with the singer.
b. The singer went fishing with Anna, who is not a cartoonist.
c. The interior designer is related to the accountant.
d. The nurse hired the interior designer to do a job.
e. Jennifer lives next door to the cartoonist.
f. Khaeh beats Jennifer and the interior designer at tennis.
g. Khaeh is not the nurse.
Answer by ikleyn(52835)   (Show Source):
You can put this solution on YOUR website! .
Because of the effect of the TRAIN LAW, Anna, Jennifer, and Khaeh each decided to take two jobs, but
no two have the same occupation. The occupations are nurse, accountant, singer, architect, cartoonist,
and interior designer. Given the information below, determine the occupations of each individual.
a. The nurse had lunch with the singer.
b. The singer went fishing with Anna, who is not a cartoonist.
c. The interior designer is related to the accountant.
d. The nurse hired the interior designer to do a job.
e. Jennifer lives next door to the cartoonist.
f. Khaeh beats Jennifer and the interior designer at tennis.
g. Khaeh is not the nurse.
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(0) Start preparing this 3x6 table
nurse accountant singer architect cartoonist interior designer
Anna
Jennifer
Khaeh
For now, this table is empty.
We will move forward step by step, making logical conclusions and filling the table gradually
by placing "+" or "-" signs in the cells.
Notice that each column must have precisely one "+" and each row must have precisely two "+".
(1) From (b), Anna is not the cartoonist.
From (e), Jennifer is not the cartoonist.
Hence, Khaeh is the cartoonist.
So, we fill the table accordingly.
nurse accountant singer architect cartoonist interior designer
Anna -
Jennifer -
Khaeh +
(2) From (f), neither Khaeh nor Jennifer is the interior designer.
Hence, Anna is the the interior designer.
Next, from (c), Anna is also accountant.
It implies that Anna is neither the nurse, nor the singer, nor the architect, nor the cartoonist.
So, we fill the table accordingly.
nurse accountant singer architect cartoonist interior designer
Anna - + - - - +
Jennifer -
Khaeh +
(3) From (2), since Anna is the accountant, Jennifer is not the accountant.
From (e), Jennifer is not the cartoonist.
Since Anna is the accountant, Khaeh is not the accountant.
So, we fill the table accordingly.
nurse accountant singer architect cartoonist interior designer
Anna - + - - - +
Jennifer - -
Khaeh - +
(4) Since Khaeh is not the nurse/(g) and Anna is not the nurse (see (2)),
it implies that Jennifer is the nurse.
So, we fill the table accordingly.
nurse accountant singer architect cartoonist interior designer
Anna - + - - - +
Jennifer + - -
Khaeh - - +
(5) Since nurse =/= singer (from (a)) and nurse =/= int-designer (from (d)),
it implies that Jennifer is not the singer and Jennifer is not the int-designer.
It leaves for Jennifer only one possibility: Jennifer is the architect.
So, we fill the table accordingly.
nurse accountant singer architect cartoonist interior designer
Anna - + - - - +
Jennifer + - - + - -
Khaeh - - +
(6) Hence, from (5), Khaeh is not the architect.
It leaves for Khaeh only one possibility for her second occupation: she is the singer.
So, we fill the table accordingly.
nurse accountant singer architect cartoonist interior designer
Anna - + - - - +
Jennifer + - - + - -
Khaeh - - + - + -
Now the table is fully filled, so the problem is solved.
ANSWER. Anna is the accountant and the interior designer.
Jennifer is the nurse and the architect.
Khaeh is the singer and the cartoonist.
Solved.
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