All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Mr. Wolfingham's Fiancée (Posted on 2023-03-01)
J. Weldon Wolfingham, Jr. will marry one of these women: Adrianna, Bianca, and Claire.

Some clues are furnished hereunder as follows:

• (a) Either they are both have blue eyes, or neither has blue eyes.
• (b) One has red hair and the other does not.

• (a) Either they both have red hair, or neither has red hair.
• (b) One is 5'11" and the other is not.

3. Of Bianca and Claire:
• (a) One has blue eyes and the other does not.
• (b) One is 5'11" and the other is not.

4. Of the three characteristics - blue eyes, red hair and 5'11":
• (a) If any of the three women has exactly two of the three characteristics, Mr. Wolfingham will marry the one with the least number of characteristics.
• (b) If any of the three women has exactly one of the three characteristics, Mr. Wolfingham will marry the one with the greatest number of characteristics.

Who will Mr. Wolfingham marry?

 See The Solution Submitted by K Sengupta Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Answer | Comment 4 of 5 |
Bianca is the odd one out with regards to red hair. Claire is the odd one out with regards to blue eyes and 5'11''. Bianca and Claire are different with regards to all three characteristics. By 4, there cannot be a woman with 1 characteristic and a woman with 2 characteristics. If Bianca has 1 characteristic, then Claire has 2 characteristics. If Bianca has 2 characteristics, then Claire has 1 characteristic. Therefore, Bianca either has 0 or 3 characteristics. If Bianca has 0 characteristics, then Claire has 3 characteristics. Then, Adrianna has just red hair. Since she has 1 characteristic, Mr. Wolfingham will marry the woman with the most characteristics, which is Claire. If Bianca has 3 characteristics, then Claire has 0 characteristics. Then, Adrianna has blue eyes and is 5'11''. Since she has 2 characteristics, Mr. Wolfingham will marry the woman with the least characteristics, which is Claire. Therefore, he will marry Claire.

 Posted by Math Man on 2023-03-04 18:04:36

 Search: Search body:
Forums (0)