Brain Teasers are Back!

Hi Seakayaker.

Good try, but not quite there yet.

The numbers along the top line (58634) match the numbers down the left column (58634) and that is the first part of what is required.

However, the numbers in the second line (86017) don’t match the numbers in the second column from the left (86072)

Likewise your third line down (60975) doesn’t match your third column (60917)

Ditto for lines four and five v Columns four and five.

You actually have most of the tiles in the correct positions (7) but three of them are not in the correct positions.

So close, yet…:sunglasses:

My bad, I did not comprehend the instructions!

58634
86072
60917
37125
42758

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Much, much better. In fact - perfect !

Much more satisfying as well, I hope.

Well done !

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Now that we all know the rules …

Numbered Tiles Square

The numbered tiles will fit together to form a square in which the numbers in the top row match the numbers in the left column. The numbers in the second row match the numbers in the second column from the left. And so on !

A rather “spooky” occurrence this evening …

I needed to check someone’s name and recalled he had taken part in the very first Brain Teaser thread that I started some time ago in a previous (x3 or so) incarnation of the Naim Forum.

So I looked the name up in the archived version of the Forum. And I found it. Nothing spooky about that, I hear you say, and that’s correct.

The spooky bit is that I started these Brain Teaser threads 16th November 2001, ie 18 years ago tomorrow !

Almost a bloody generation !

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From post 404

12345
24689
36521
48207
59173

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Nicely done Seakayaker.

Numbered Tiles Square 3

The numbered tiles will fit together to form a square in which the numbers in the top row match the numbers in the left column. The numbers in the second row down match the numbers in the second column from the left. And so on !

There are 10 beads in a bag, of which 3 (and only 3) are blue.

Two beads are picked out at random (unseen) and not replaced.

What is the probability of getting two blue ones ?

(yes, I know. This is a typical bit of maths for 12/13 year olds !!)

Here’s a moral brain teaser.
A very well known professor is teaching a group of young students.
Of which is student A and student B amongst others.
The professor is teaching a complex discipline and offering many tools to accomplish results.
Later both student A and B have great success in finding new knowledge and become teachers themeselves.
Student A, now Teacher A. Teaches with 70 % relaying those intitual tools taught by the master professor with 30 % their own findings.
Student B, now Teacher B. Teaches with 30 % relaying those initial tools taught by the master professor with 70 % their own findings.
Which is the better Teacher ?

I’ll bite.

Professor A does a better job of passing on generations of accumulated knowledge and tools.

Professor B seems a bit overly pleased with himself and his own work unless, by remote chance, he has revolutionized the field.

Depends on the relevance of the new material developed by the ex students.

I was taught how to teach by a very experienced Flight Instructor Instructor. I developed my own methods from those I was taught, ie experience, plus other teaching methods that I picked up from others.

I then met up with another, even more experienced Instructor, from whom I learned a lot more, and developed even more of my own teaching methods.

Each “generation” needs to teach people far better than the previous generation, and - and this is the important bit IMHO - good teachers need to teach the next generation of teachers to be innovative, such that this next generation of teachers can push the boundaries of future effective teaching even further.

I thought this one was straight forward.

10 beads, 3 of which are blue. On the first pick there is a 3/10 chance of selecting a blue bead.

The blue bead is not replaced thus leaving 9 beads, 2 of which are blue.

I’m going with B, as they are passing on newer result- based knowledge and techniques.

Depends on their student’s results?

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I printed the picture and cut the shaped tiles out.

I found it (a little bit) easier than trying to solve this one in my head !

This is a photo of my cut & paste solution.

And hopefully, a more easily readable copy of my solution.

so the prob of the second bead being blue is 2/9

Hence the probability of getting two blues without replacement is (3/10)x(2/9)= 1/15

Transport Spreadsheets

Each symbol has a value. Can you find the worth of the question mark ?