Sunday, September 2, 2012

Just4Fun 2 - English

Reasoning Skill:  Three ladies and Five Hats

Miss Swank, Miss Social, and miss Highhat descended upon the hatter and demanded the latest creations in chapeaux.  The hatter asked the three ladies to take three chairs.  He had, however, arranged the chairs sin such a manner that Miss Highhat could see the hats that Miss Swank and Miss Social tried on, and Miss Swank could see Miss Social's hat, but Miss Social could not see the other two ladies' hats.  The hatter showed the ladies five hats, three of which were green and two of which were pink.  He mixed the hats and from the rear placed a hat upon each ladies; head.  He asked Miss Highhat the color of her hat.  She relied that she did not know.  He asked Miss Swank the color of her hat.  She replied she did not know.  When Miss Social was asked the color of her hat, she could tell the hatter the correct color.  What was the color of Miss Social's hat?

Problem source:

"General College Mathematics", W. L. Ayres, Cleota G. Fry, H. F. S. Jonah, McGraw Hill Book Company, 1952  p.35

2 comments :

  1. HighHat didnt see two pinks. Swank didnt see pink on Social (otherwise she could have guessed that she is Green).

    So Smart Swank sees hers as Green.

    ReplyDelete
  2. Anthony,

    Congratulations! Your explanation is correct!

    ReplyDelete