Patana Gateway

Tuesday update

Good morning 6L!

I'm sure you are all studying hard and are making great progress on the elearning given out yesterday.  However, below are a a few brain teasers that you might like to have your brain ponder on while you are off school.  You know how much I encourage you to draw diagrams to help you solve logic problms, they might b useful here.

Enjoy,

Miss Laird

A Ping-Pong Ball in a Hole

Your last good ping-pong ball fell down into a narrow metal pipe imbedded in concrete one foot deep.
How can you get it out undamaged, if all the tools you have are your tennis paddle, your shoe-laces, and your plastic water bottle, which does not fit into the pipe?

The Castle

A square medieval castle on a square island is under siege. All around the castle there is a square moat 10 meters wide. Due to a regrettable miscalculation the raiders have brought footbridges, which are only 9.5 meters long. The invaders cannot abandon their campaign and return empty-handed.
How can the assailants resolve their predicament?

Christmas Tree

Four angels sat on the Christmas tree amidst other ornaments. Two had blue halos and two – yellow. However, none of them could see above his head. Angel A sat on the top branch and could see the angels B and C, who sat below him. Angel B, could see angel C who sat on the lower branch. And angel D stood at the base of the tree obscured from view by a thicket of branches, so no one could see him and he could not see anyone either.
Which one of them could be the first to guess the color of his halo and speak it out loud for all other angels to hear?

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