Diagram

[kylie_opi]

I would appreciate assistance with this game, the set up and deductions. Thanks!

[cyruswhittaker]

I didn't get any deductions/inferences for this game. I found that the best way to do this game was to set it up similair to the setup they give you in the problem, with two slots each, one for the year, one for the painting type.

Then just pay close attention to the rules, and utilize the fact that a painting MUST be either watercolor or oil.

(Not watercolor)--> Oil
(Now oil)--> Watercolor

Although basic, this will help with the questions, like #15.

Notice that 4 out of the five questions provide conditions specific to the question. I've found that this generally means there aren't a whole lot of initial inferences.

Questions:

#15:

E:

19-->W

Thus by the contrapositive, O-->20. Thus painting 3 is a 20th century painting. Thus painting 6 must be a 20th century painting due to rule 5.

#16:

D:

If there are only two watercolors, use rule 3 to eliminate all choices except D.

#17:

C:

Take note of the conditions and utilize rules 2 and 3. You'll see that the possibilities for placement of O revolve around the fixed O in painting 3. As a result, only three possibilities for O result:

1-2-3
2-3-6
3-5-6

Thus 4 MUST be a watercolor.

This question was time consuming. If anyone else has a quicker method, please let me know.

#18:

E:

Since there are only two 19th century paintings, painting four MUST be a 20th century painting. Otherwise, rule 5 is violated due to the fixed year of painting two as the other 19th century painting.

Note that painting 2 COULD be an oil, so this part is not incorrect.

However, taking it beyond the question, note that this question could also put an answer choices forcing a problematic placement for oils/watercolors. Oils must be in 2 and 3 or 3 and 6.

So for example if they put a choice with oils in 4, it would also be a correct choice for this particular question.

#19:

(A)

Elimination problem. Use rule 5 to eliminate B-E.


Hope that helps!