Can you solve it? Are you smarter than an architect?

Lounge
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You solved it. :smile:

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well done @Andrey ā€¦ i tip my oddly shaped 3d hat to youā€¦

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@Andrey Well done. For those interested he posts a puzzle every fortnight. Iā€™ll post the link to the next one in a fortnight if anyoneā€™s interested.

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i would play the every fortnight puzzleā€¦ i may not be good at them but its funā€¦

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Yes by all means, keep them comingā€¦ it was hard but funā€¦

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From June 19th.

I will post the solution link at 10.00 UK time

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The YIN YANG problem is fairly easy. Hereā€™s my solutionā€¦ just add a semicircle (equal to those 2 smaller semicircles that make up the original shape) as shown in the image below.

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I wonā€™t attempt to solve the others 2 problemsā€¦ even though I would know where to start but Iā€™m too lazy for math today :slight_smile:

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  1. Dollar bills. In a bag are 26 bills. If you take out 20 bills from the bag at random, you have at least one 1-dollar bill, two 2-dollar bills, and five 5-dollar bills. How much money was in the bag?

26 total minus 20 removed = 6 left. If you have at least 1, 2 and 5 respectively, that means at least 6+1, 6+2 and 6+5 were in the total amount. Otherwise you wouldnā€™t be sure to have at least 1, 2 and 5 of them. That means there are 7 ones, 8 twos and 11 fives. 78 dollars.

  1. Huge pie. A huge pie is divided among 100 guests. The first guest gets 1% of the pie. The second guest gets 2% of the remaining part. The third guest gets 3% of the rest, etc. The last guest gets 100% of the last part. Who gets the biggest piece?

The tenth guest gets the biggest piece. I just did the math. Not sure if there is a way to solve it without doing the math.
(Easy to solve with a calculator, not too hard without one)

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I was going to wait till 10 to post the link to the answer but I think @anon9798425 is going to be the only one to answer.

Seeing the answers for 1 and 2 I could grasp it , but the maths for 3 is way above my head.

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Was I not supposed to post my answer here? You could have told me. Itā€™s not like I can read your mind.

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I wasnā€™t sure if your answer was right and didnā€™t think anyone else was likely to have a go . Hence why I posted the link early. Nothing wrong with you posting your answer. Well done.

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Hereā€™s my slightly illegible solution. :nerd: :smile:

The projection of the 3-D object in each of three orthogonal directions has to be one of the three given shapes.

EDIT: This is the so-called Borneo solution due to auto-fill :joy:

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:sunglasses: :sunny: :beach:

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Auto-fill makes every mathematical solution more interesting!

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the answer was just below the link. My first thought was a cylinder