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More ways to get Braingle...

Handy People

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#14582
Fun:*** (2.55)
Difficulty:*** (2.77)
Category:Logic
Submitted By:taniapereira99Aca****
Corrected By:MarcM1098

 

 

 



Long ago, back before serious illness existed and the new inventions of today, there lived the Handy People. Their height was measured in hands, and they lived long lives. From the statements below identify each of the 5 Handy people's height (12, 13, 14, 15 and 16 hands) and their ages (100, 110, 120, 130 and 140 years).

TWIST: One statement is FALSE.

1. Har was not the oldest, nor was he the shortest or tallest.
2. Winn was taller than Edvo, who was taller but younger than Frer.
3. Tolo, who was not the second oldest, was older than Har, and shorter than Frer.
4. The one who was 13 hands tall was the oldest.
5. Har was taller and older than Winn and Tolo.
6. The fourth oldest was taller than Tolo, but shorter than Edvo, who was older than Winn.


Answer

Edvo, 15 hands, 130 years
Frer, 13 hands, 140 years
Har, 14 hands, 110 years
Tolo, 12 hands, 120 years
Winn, 16 hands, 100 years

When going through all the statements, it is impossible that both 3 and 5 be true. (3 says Tolo is older than Har while 5 says Har is older than Tolo.) 2 gives the order of height as Winn, Edvo, and Frer. If 5 is true, then Har must be the tallest, but this contradicts 1, therefore 5 is false.

From 1, 2 and 3 it can be seen that the order of height is Winn, Edvo, Frer, and Tolo - with Har somewhere in between but not the shortest or tallest. Therefore Winn is 16 hands, and Tolo is 12.

Since Har is not the oldest, he is not 13 hands, which makes Frer 13 hands and the oldest.

From 3 and 6, Tolo is not the 2nd or 4th oldest and is not the youngest. Therefore he becomes 120 years. Also from 6, Edvo is not the 4th oldest or youngest. Therefore he is 130 years.

Since the 4th oldest is shorter than Edvo, Har must be it at 110 years. And Winn is the youngest. Since the 4th oldest was shorter than Edvo, Har is 14 hands and Edvo is 15 hands.

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