Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#3576 Re: Puzzles and Games » Ages problem » 2009-07-29 03:12:03

Ubergeek wrote:

But the answer to Q4. is

.

No point in asking for an example of one, then. wink

But could you explain your answer for me, Ubergeek?

#3577 Re: Dark Discussions at Cafe Infinity » Optical Illusions, et al » 2009-07-28 22:47:35

This is THE most baffling optical illusion I've ever seen! eek

My brain absolutely refuses to see this unaided...that the shading on squares A and B is identical!! dizzy

Try these simple proofs...you'll be amazed!! :-

Copy the image (the full one, not the thumbnail) and paste it into MS Paint.
1.
- Use either the "Select" or "Free-Form Select" tool to select a portion of square B, making sure your selection stays within the square's boundaries.
- Move the selection to the white area (holding down CTRL while you move it copies the selection instead of removing that area from the canvas).
- Do the same with square A and place it next to square B.
- Compare the two shades!

2.
- Paste the image into MS Paint again.
- Choose the "Pick Color" tool, left-click on square B to select the colour, select the "Fill With Color" tool and left-click somewhere in the white area...which then changes completely to square B's colour.
- Repeat 1...and squares A & B disappear into the filled area, leaving just the two dark letters visible there!

3.
- Instead of moving the squares off the checker board just select a portion of square B and move it onto square A.
- Watch B's shade appear to change along the way!! (works the other way round too...moving A onto B).

4.
- Select a portion of square B, delete it (which should leave a blank, white patch), use the "Pick Color" tool on square A and fill B's white patch...with the 'different' shade!

dizzy smile

#3579 Re: Puzzles and Games » Longest last-letter sentence » 2009-07-28 11:05:17

You left out "therapy", quittyqat.

Once everything goes, suddenly you understand dreams, surreal life energy, youth's surprisingly-yobbish, heartache-evoking, gestalt therapy yackety-yack

#3580 Re: Puzzles and Games » Ages problem » 2009-07-28 03:50:41

I solved Q2 & Q3, but not Q4.

However, googling for Q4 dug up something that looks related, but I had to give up on trying to understand the 'explanation' when I began to see stars and I heard "tweet, tweet".

#3581 Puzzles and Games » Little Pigley Farm » 2009-07-27 20:45:36

phrontister
Replies: 8

I enjoy doing cross-number puzzles...& here's one of my favourites.

No advanced maths required - just basic arithmetic. Needs lots of logic.

Enjoy! smile

#3583 Puzzles and Games » Self-Referential Aptitude Test » 2009-07-26 21:31:27

phrontister
Replies: 14

Here's a great logic puzzle that I found on the internet...where it's widely discussed. It took me some time to work out what on earth the author was driving at - and considerably longer to solve it. smile

This photo may help to throw some light on the concept of self-referentialism:-

#3584 Re: Puzzles and Games » Ages problem » 2009-07-26 04:25:53

Yes...I like this kind of puzzle too. Can't always get them because of their devious construction, but they're a fun challenge!

I'd made a similar "sums" list of the combinations of the factors of 36, which revealed the "13"-duplication and thus answered the second clue. However, I wasn't sure that "oldest" necessarily ruled out 1,6,6...until I looked at it more mathematically: ie, that 6=6, clearly leaving 2,2,9 as the intended answer.

#3585 Re: Puzzles and Games » Ages problem » 2009-07-25 20:58:49

I got the same answer as Bobby. Nice logic...took me a while to spot. smile

#3587 Re: Puzzles and Games » Longest last-letter sentence » 2009-07-24 17:19:05

-evoking

Once everything goes, suddenly you understand dreams, surreal life energy, youth's surprisingly-yobbish, heartache-evoking

#3588 Re: Puzzles and Games » Longest last-letter sentence » 2009-07-23 23:49:54

"submit" doesn't seem to fit, l-d (maybe your post crossed with MathsIsFun's?)...so I think I'll just continue on from "surprisingly":-

-yobbish

Once everything goes, suddenly you understand dreams, surreal life energy, youth's surprisingly-yobbish...

#3591 Re: Puzzles and Games » Longest last-letter sentence » 2009-07-22 21:03:20

Bobby, I think your word should have started with "d", which is the last letter of the last word.

I wonder if there's one such word that retains MathsIsFun's "wonderful". smile

#3592 Re: Puzzles and Games » Longest last-letter sentence » 2009-07-22 03:53:41

understand

(Once everything goes, suddenly you understand... )

#3593 Re: Puzzles and Games » Diaphatus » 2009-07-21 00:04:25

That was a nice puzzle, uzurpatorul!

It took a bit of head-scratching before I could find an algebraic solution, but I finally got there.

Same answer as Bobby.

#3594 Re: Puzzles and Games » Apple problem » 2009-07-15 22:00:07

apple noun: the firm round edible fruit of the apple-tree.

I'd say that once eaten it is no longer:
(a) "firm" - it's moosh
(c) "round" - unless you swallowed it
(b) "edible" - except for ruminants
(d) recognisable as "fruit of the apple-tree" - alphabet soup (or some such), maybe

I reckon 8, unless this thread goes on so long that they all rot, in which case I wouldn't be eating any! rolleyes

#3595 Re: Puzzles and Games » Flys » 2009-07-15 21:05:57

Sorry, Tigeree, I couldn't find any pics...but I dug up some info for you:

According to Ebers Papyrus, which is "the oldest and arguably the most important preserved medical record of antiquity" (dating back to about 1552BC and apparently being "a complete record of known Egyptian medical knowledge"), the ancient Egyptian remedy for stopping a baby from crying was to give it a medicinal paste made from a mixture of spn seeds (whatever they are) and fly dung, which were strained and fed to the baby on four consecutive days. The crying was meant to cease instantly. (EB.782) eek

(I can think of a very good reason why the crying would cease instantly! And if I were that infant I'd make very sure I stopped crying before being fed that paste!)

According to a forensic source, fly droppings "are composed of a material homogeneous, amorphous, transparent, uncoloured, swollen, dissociated by, or dissolved in, water. They're "a yellow brown, some with a greenish reflection, others with a reddish reflection, faintly pronounced. They all strongly refract light, clear at the centre, dark on the periphery, as fatty bodies; also like fat granules, they're insoluble in water and in acetic acid and almost all dissolve in hot alcohol and in ether. Some small crystals in the form of short needles of undetermined chemical composition accompany them."

I'd avoid eating that pizza and the meatballs at all costs, the favourable weight of probabilities notwithstanding!

#3596 Re: Puzzles and Games » Joan's telephone number & my YOB » 2009-07-15 12:01:49

Hi bobbym and mathsyperson,

I've only dabbled a bit in programming code and haven't learnt efficient, optimised techniques. I just know enough BASIC to get by with simple puzzle stuff...which keeps me happy enough, although I sometimes wish I knew more. At times I wonder how my clumsy efforts could be improved to look and perform better with more efficient coding...but I'll just continue to dream about it, as there's a limit to my limited time!

My BASIC program runs in approx 1 second, while the person who wrote the 'C' code said theirs ran in 0.017sec. That time difference is about as long as it takes me to sneeze, so I won't worry too much about it.

Here's an image of an Excel 4.0 macro that someone sent me. With MESSAGE (cell D12) 'on' it runs in 17 seconds, and with it 'off' it takes 6 seconds. Those times are for Excel v2002...in v2007 it takes 419 secs (yes - that's right!!) and 8 secs respectively.

Still, I'm not too concerned about any of that as Part A comprises only a tiny portion of the whole puzzle. It's only there to get things started for Part B, which is a MUCH more serious undertaking.

Recently I made several improvements to my spreadsheet solution. This has reduced the time for the entire process of testing the 0-3000 AD year range against the many rules to find my YOB and Part A's YOP, including performing the "Solution check", to just 1 second. smile

#3598 Re: Puzzles and Games » Joan's telephone number & my YOB » 2009-07-15 03:52:41

Hi, mathsyperson. Thanks for posting your method. smile

Mine has some parallels with yours. I've tried to explain my method but found the going a bit difficult. It's too wordy and not as neatly-structured as yours...but I hope it makes sense:

The answer will probably jump out at me as soon as I post this, but there's something about your method that I don't understand:

#3599 Re: Puzzles and Games » Joan's telephone number & my YOB » 2009-07-13 22:42:03

Hi bobbym,

Yes - that's the right answer to Part A. smile

What method did you use?

So far I've come across 3 quite different ones:

I've just re-read my first post and have realised that in the excitement of the occasion of that important posting event I told a lie. @'.'@ 

I didn't compose Part A - a good friend of mine did, and had it published in a puzzle magazine...which also published her solution strategy. She was quite interested to find out that I'd added a Part B to her puzzle, but sadly she's also very interested in avoiding trying to solve it! sad

#3600 Puzzles and Games » Joan's telephone number & my YOB » 2009-07-12 19:24:27

phrontister
Replies: 19

Hi all!

This is my first post on the forum and I'm a little unsure of the suitability of my puzzle here because of the need to use a computer to find the solution...but I'd like to share it because I've had a lot of fun composing it and I reckon it's a good brain teaser (I hope). Sorry about it being so long, but it grew over time as ideas to 'improve' it popped into my head.

Much of the puzzle can be solved longhand, but Part B's YOB and YOP components are definitely best tackled with the help of a computer. I composed those two components in Excel (spreadsheet) and had to overcome Excel's lack of certain digit-manipulation functions...for which I've given array formulas (found on the internet) and a link to a prime-factorization function (also found on the internet). Just ignore the bits in blue if you'd rather use your own techniques.

No advanced math knowledge is required - not beyond high school, anyway - otherwise someone else would have had to compose my puzzle!

I've posted it on three other puzzle forums and although two people have solved it (an older version with a different solution, actually), the puzzle hasn't exactly prompted fierce discussion. Because I'm fairly new to Excel and VBA I'd hoped to get some feedback about others' Excel techniques and learn from them, but so far all has been quiet on that front. Anyway...

Enjoy! smile

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