Puzzle to Puzzle you

While visiting a small town in the United States. I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number, I did remember that the bus number had a certain peculiarity about it. The number plate showed the bus number was a perfect square and also if the plate was turned upside down, the number would still be a perfect square—of course it was not? I came to know from the bus company they had only five hundred buses numbered from 1 to 500. From this I was able to deduce the bus number. Can you tell what was the number? Answer

By experiment we find that the only numbers that can be turned upside down and still read as a number are 0, 1, 6, 8 and 9. The numbers, 0, 1 and 8 remain 0, 1 and 8 when turned over, but 6 becomes 9 and 9 becomes 6. Therefore, the possible numbers on the bus were 9, 16, 81, 100, 169 or 196. However, the number 196 is the only number which becomes a perfect square when turned over because 961 is the perfect square of 31. Therefore, 196 is the correct answer.

5 comments:

PING_TM said...

Hello MathWiz cleojane,

Nice Site! ^_^
I followed your blog ^_^
Hope you will do the same ^_^

My Life in Germany Blog:
http://pinoyingermany.blogspot.com
My Technorati
My Twitter

My Tech Blog:
http://techmata.blogspot.com
My Technorati
My Twitter

Thanks! ^_^

~♥Sonya said...

I'm glad I found your awesome blog. Very fun, informative and entertaining all in one! Nice job!

tornphoenix said...

100 or 001 is another answer.
square root of 100 is 10.
square root of 001 is 1.

Alexander Ledbetter said...

Depending on the font, 121 reads 121 both ways ;)

Carplates Singapore said...

i dont undersand ping_tm
car plate car plate car plate car plate car plate car plate car plate car plate vcar plate car plate car plate car plate car plate

Fantastic Facts!



1. It is physically impossible for pigs to look up into the sky.


2. The “sixth sick sheik’s sixth sheep’s sick” is said to be the toughest tongue twister in the English language.

3. If you sneeze too hard, you can fracture a rib. If you try to Suppress a sneeze; you can rupture a blood vessel in your head or neck and die.

4. Each king in a deck of playing cards represents great king from History. “Spades” King David; “Clubs” Alexander the Great;” Hearts” Charlemagne; “Diamonds” Julius Caesar.

5. 111,111,111 x 111,111,111 = 12,345,678,987, 654,321

6. If a statue of a warrior on a horse has both front legs in the air, the person died in battle. If the horse has one front leg in the air, the person died as a result of wounds received in battle.If the horse has a all four legs on the ground, the person died of natural causes.

7. What do bullet proof vests, fire escapes, windshield wipers and laser printers all have in common?Ans. All invented by women.

8. Honey is the only food that doesn’t spoil.

9. A crocodile cannot stick its tongue out.

10. A snail can sleep for three years.