Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A question about strategy thinking this logical questions

  1. Aug 13, 2008 #1
    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. jcsd
  3. Aug 13, 2008 #2
    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: A question about strategy thinking this logical questions
  1. Logical Question (Replies: 9)

  2. Logical question (Replies: 7)

  3. Logical question (Replies: 4)

  4. Question about logic. (Replies: 82)

Loading...