Question 1180160: Anna is a teacher and her cousins are a banker, a salesperson, and an engineer. All of them
sit around a table. Anna sits on Melody's left. Chinky sits at the banker's right. Katherine, who
faces Melody, is not the salesperson. Determine the seating arrangement of the cousins.
Answer by ikleyn(52777)   (Show Source):
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Anna is a teacher and her cousins are a banker, a salesperson, and an engineer.
All of them sit around a table.
(a) Anna sits on Melody's left.
(b) Chinky sits at the banker's right.
(c) Katherine, who faces Melody, is not the salesperson.
Determine the seating arrangement of the cousins.
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(1) In the Figure below, I placed 4 symbols "around a circle table".
"A" is Ann. There is only one place at the table, where "Anna sits on it left".
Hence, this place is for Melody, and I marked it M. And we know that Chinky is not a salesperson.
A (teacher)
M Y
X
Figure 1.
Two other persons are unknown now. I marked them X and Y in the figure.
Obviously, X and Y are either Chinky or Katherine - we don't know who of them is X and who is Y.
(2) Condition (c) says "Katherine, who faces Melody, is not the salesperson".
It means X = Katherine (K), and I update this information in the next figure.
A (teacher)
M Y
K (not a salesperson)
Figure 2.
(3) Hence, Y is Chinky (the only possibility left),
and I update this information in the next figure.
A (teacher)
M C
K (not a salesperson)
Figure 3.
+----------------------------------------------+
| Thus the seating arrangement of cousins |
| is determined completely in Figure 3. |
+----------------------------------------------+
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We can make one step forward and to learn more about their occupations.
Condition (b) says "Chinky sits at the banker's right".
Hence, from the Figure 3, K, or Katherine, is the baker.
A (teacher)
M C
K (banker)
Figure 4.
We have no more information to complete with their occupation.
Solved.
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