A question about strategy thinking this logical questions

1. Aug 13, 2008

some_one

here is an example for a typical question:
there are three kings
jan,luk,pikard
each one of them has one crown
a large or medium or small
and each crown is one of gold,silver,copper

the copper crown located closely to the right of a small crown.
the golden crown is the large one and its located closely to the left of jan's crown

which of this answers are possible but not necessary?
1.the crown of jan is small
2. the copper crown is the property of luk
3.the copper crown is the medium
4.the silver crown is small

there are 3 places _______,________,________

i have two bits of data which cannot be directly added to one another

small,copper
gold large ,jan

i dont know how to go from the state where i have only two separated bits of data
into a full data arrangement
?

2. Aug 13, 2008

Werg22

1. the copper crown located closely to the right of a small crown.
2. the golden crown is the large one and its located closely to the left of jan's crown

From 1, we obtain the following necessary conclusions:

a. The small crown is not copper.
b. The copper crown either lies in the middle or to the far right.
c. The small crown either lies in the middle or to the far left.

Now from 2, we obtain

d. The small crown and the medium crown are not gold.
e. The large, golden crown either lies in the middle or far left.

From a and d, we conclude that the small crown is silver, and the medium crown is copper. By 1, the golden crown can not occupy the middle position since the copper crown would not be to the right of the small, silver one. Therefore, by e, the golden crown lies to the far left. By c, follows immediately that the silver crown lies in the middle and the copper to the far right. This means the arrangement is: Gold Silver Copper. By 1, Jan's crown is silver. Therefore we have the configuration ___ - Jan - ___, and Jan's crown is small. Either the configuration Luk - Jan - Picard or Picard - Jan - Luk is possible. Therefore the answer is 2.

Last edited: Aug 13, 2008