Puzzles with numbers and things

[Monique]

Updates R335 and R339

D_G provided a perfect answer for Round 335. Congrats to him!
Next answer on the thread please...

Round 339: Snookersfun is first to provide some help to poor Rollie! One puzzle solved and I hear the solution of the second one is in my private mailbox at home! Well done!

Edit: the solution of the second puzzle is of course correct! Well done snookersfun.

[Monique]

R339 ... tidy the pentaminos...

Welcome back D_G!

To celebrate the boss' return here comes round 339

Rollie O'Sunnyman is playing his good old mate Peter Betdone and it's obvious he's close to nervous breakdown... the other guy has been contemplating wether to knock in a sitter for the last 38 minutes and nothing has moved on the table

Unfortunately spoons have been replaced by those stupid little plastic thingies. What to do? Charlie who is tournament director has mercy of Rollie and comes up with something to keep him busy thinking

Here he comes with a chess board (8x8 square grid) and the 12 pentaminos (arragements of 5 touching squares). "Look" he says "Try to put them all on the chess board, leaving the corner squares empty. And if the match isn't finished when you've done that ... try do do the same but this time leaving the four central squares empty"

Now Rollie goes scratching his head... anyone to help him?

[snookersfun]

well, well, well, welcome back d_g!

Though this send me scurrying through PMs and mails now to find my solutions...
So, adding to the previous mentioned members, now R. 334, 337 and 338 solved by d_g as well!
Anybody who can still find hers/his solutions is welcome to put them up then.

Good to see this thread carried on! Am just catching up and reading up... and as this one seems to have been open for a while, may as well give an answer directly on the thread - but in hidden text...

(9,7,2,14,11,5,4,12,13,3,6,10,15,1,8)

and round 335 answer being sent to Monique by PM.

[davis_greatest]

Ehh... you mean, numbers, which are in the same row (or column or diagonal) in one square can't be in the same row (or column or diagonal) in the other square?

Then for example numbers 1,5,10.11,12 and 13, which are in the same row or column with number 9 in the yellow square, can be only on green spots in the other square?

Nice pictures, abextra!

For round 335 - as an example, in the yellow square, numbers 1 and 2 are in the same row. Therefore, in the green square, numbers 1 and 2 cannot both appear in the same row, nor both in the same column, nor both in the same main diagonal.

Similarly, in the yellow square, numbers 7 and 13 are both in the same main diagonal. Therefore, in the green square, numbers 7 and 13 cannot both appear in the same row, nor both in the same column, nor both in the same main diagonal.

On the other hand, in the yellow square, numbers 5 and 10 do not appear in the same row, nor both in the same column, nor both in the same main diagonal. Therefore, in the green square, there must be a row or a column or a main diagonal in which numbers 5 and 10 both appear.

Took me a little while to figure out what it meant too, but I think that's it!

[davis_greatest]

R. 334: adding up to squares

Gwenny is given her first snooker lessons, after a bit of practice she manages to pot the odd ball and even manage a max break of 15. One session she notices that she strangely enough made breaks of 1-15 once each, moreover she made them in such a way that each two consecutive breaks add up to a square number.

Please give the sequence of breaks (PM)

Good to see this thread carried on! Am just catching up and reading up... and as this one seems to have been open for a while, may as well give an answer directly on the thread - but in hidden text...

(9,7,2,14,11,5,4,12,13,3,6,10,15,1,8)

and round 335 answer being sent to Monique by PM.

[Monique]

Ehh... you mean, numbers, which are in the same row (or column or diagonal) in one square can't be in the same row (or column or diagonal) in the other square?

Then for example numbers 1,5,10.11,12 and 13, which are in the same row or column with number 9 in the yellow square, can be only on green spots in the other square?

Yes exactly. Good luck!

[abextra]

Yes, that's it. for any pair it will be in a row or in a column or on a main diagonal in one of the squares and none of that in the other.

Ehh... you mean, numbers, which are in the same row (or column or diagonal) in one square can't be in the same row (or column or diagonal) in the other square?

Then for example numbers 1,5,10.11,12 and 13, which are in the same row or column with number 9 in the yellow square, can be only on green spots in the other square?

[Monique]

Lol, Snookersfun - but of course I forgot about dear Gordon!!!

Don't worry Abxtra I did the same to start with! Such a quite chap dear Gordon!

[abextra]

Hi Abextra, good to see you resurface
Yes, only one possible solution, just remember, all 4 apes played

Lol, Snookersfun - but of course I forgot about dear Gordon!!!

[snookersfun]

Hi, Snookersfun!

Is there only one possible solution?

Hi Abextra, good to see you resurface
Yes, only one possible solution, just remember, all 4 apes played


As customers have picked up a bit, I will add another one in here:

R.338 Balancing balls

...as the practice isn't going that well at the moment, the apes think of something else to do with their snooker balls. Gwenny has a swell idea: 'let's built a mobile'. Soon all the materials are gathered, 6 colourful bags are found and Charlie determines: 'Let's use all the reds and the colours, distribute them (all different number of balls) into the six bags and balance them on the mobile'. Initially combined efforts lead to the following, let's say not very balanced (although not really shown in the picture), situation.
mobile-1.bmp
Charlie has a short look and states: 'Actually, it is not that bad at all, we only need to slide each bag 1/2 step to the left or right and our mobile will be perfectly balanced'.

How many balls are in each specific bag?

[Monique]

Sorry, Monique, , I'm afraid I don't understand again...

... for any pair of numbers 1 to 16, the chosen pair will be in a row, column, or main diagonal in exactly one of the two squares...

Yes, that's it. for any pair it will be in a row or in a column or on a main diagonal in one of the squares and none of that in the other.

[abextra]

Barry the Baboon is back from hols ...

Sorry, Monique, , I'm afraid I don't understand again...

... for any pair of numbers 1 to 16, the chosen pair will be in a row, column, or main diagonal in exactly one of the two squares...

[abextra]

R 337 another 'low breaks' day not difficult either

Gwenny, Charlie, Oliver and Gordon are just back ,,,

So, who had the highest break in that session and who scored what?

Hi, Snookersfun!

Is there only one possible solution?

[snookersfun]

breaking news:
R337, Mon's answer is in first again,... actually, erm, she is the only one in again
Nobody else? Have we lost all the puzzle crew? Abextra? Rob? Dantuck? Ja? Anybody?

But for now, well done Mon!

edit: and ja. can if she wants, solved perfectly as well Hurray!

Anybody else?

[snookersfun]

R 337 another 'low breaks' day not difficult either

Gwenny, Charlie, Oliver and Gordon are just back from this morning's snooker practice. Suffice it to say it didn't go very well. The recapitulate that during one particularly abysmal session in which each had three breaks, they scored breaks from 1-13 only (each number maximum once) but noticed that all ape's combined total score was the same.
Trying to recall the individual scores, they initially only remember that Gwenny had a break of 1, Oliver a break of 3 and Charlie a break of 11.
But actually that is enough information to figure all the breaks out:

So, who had the highest break in that session and who scored what?