Puzzle Help Items 133-144

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144  A Jigsaw Observation
143  Help with... Help - Part 4
142  Dog Does Calculus
141  Connecting 12 Dots with 5 Lines
140  A Riddle About Nothing
139  A Couple of Language Equations
138  A Sheet Full of Numbers?
137  Making Your Own Word Searches
136  Paint By Numbers Rules & Tutorials
135  A Confusing Riddle
134  Erasing Digits till Zero
133  The 1-8 Number Grid: No Two Adjacent Numbers Touch Each Other
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144  A Jigsaw Observation
144  A Jigsaw Observation
Question: I have a question that I have been looking for an answer to for quite some time.

Why do some people put jigsaw puzzles together from the edge to the middle and some do it from the middle to the edge? Personally, I can only do it from the edge to the middle, but my wife can only accomplish puzzles from the middle to the edge. Needless to say, we put puzzles together fairly well.

Anyway, I would think that it has something to do with whichever side of your brain you use. ie: edge to middle is more logical (left brained) and middle to edge is more intuitive (right brained). That is just my speculation though and I was wondering if there is any information about this.

Thank you,

Matt C.

Answer: This is definitely an interesting observation. We can not directly confirm it, but we also can not disprove it. We've decided to bring this idea to your attention, and we will appreciate any further thoughts on the issue.
Posted: February 5, 2007
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Help with... Help - Part 4
143  Help with... Help - Part 4
From time to time we are receiving your messages with seemingly simple requests which turn out to be hard puzzle nuts even for us, though. In these cases our search was unsuccessful. Nobody can know everything!

At the moment we have a pretty big collection of such perplexing questions featured in the first part of Help with... Help, Help with... Help - Part 2 and Help with... Help - Part 3. This is the 4th part of such messages that we've collected for the several past months.

It easily can be that somebody of you knows some answer to any of the questions below, so any your tips or help will be greatly appreciated - simply Contact Us.
Go to Help with... Help - Part 4
Modified: November 30, 2007   |   Posted: February 5, 2007
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142  Dog Does Calculus
142  Dog Does Calculus
Question: I am interested in seeing a mathematical solution to the problem in Muse called Dog does calculus. Please give me a general explanation and a specific explanation, such as, with some given values like Tim throws the tennis ball so that it lands 45 feet away and 15 feet from shore, and Elvis can run at 8 feet/sec and swim at 3 feet/sec. Thank you.

Jay J.

Answer: Though we can not provide such clear answers on the problem, we think some informative explanations to it can be found on Ivars Peterson's MathTrek, specifically here. There are several more references to the problem at the bottom of the page.
Posted: February 5, 2007
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141  Connecting 12 Dots with 5 Lines
141  Connecting 12 Dots with 5 Lines
Question: i'm having trouble with a puzzle similar to the 9 dot puzzle it looks like this

* * * *
* * * *
* * * *

i have to connect all 12 of those dots with 5 lines with out lifting up my pencil AND starting in the same place....help me? i know this isn't really one of your puzzles...but maybe you could help me and add this to your list of puzzles?

Meeki L.

Answer: This message has inspired us to include the problem into our Puzzle Playground sector. You can find it here. Thank you!

For more information on the Dots Puzzle Family, read Item #065.
Posted: February 5, 2007
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140  A Riddle About Nothing
140  A Riddle About Nothing
Question: What is greater than God, More evil than the devil, The poor have it, The rich need it, And if you eat it, you'll die?
Bob H.

Answer: The most widely-used answer to this riddle is NOTHING.
Posted: November 2, 2006
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139  A Couple of Language Equations
139  A Couple of Language Equations
Question: Could you help me with these Language Equations

8 N in an O
640 A in a SM

Thanks
Jessica S.

Answer: Our suggested solutions to these Language Equations would be as follows.

8 N in an O => 8 Notes in an Octave
640 A in a SM => 640 Acres in a Square Mile.

For more Language Equations, please take a look at Item #074.
Posted: October 1, 2006
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138  A Sheet Full of Numbers?
138  A Sheet Full of Numbers?
Question: Any suggestion to solve this one?
Tx,
Sjoerd

Enlarge the picture

Answer: Unfortunately, we can not come up with a definite answer to this puzzle right away. But maybe you, our fellow puzzle friends, could help us with this request? We will be very grateful for any your help in this.
Posted: October 1, 2006
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137  Making Your Own Word Searches
137  Making Your Own Word Searches
Question: I was told to go to your website to create a word search for second graders for their upcoming Halloween party. How do I get to that area to be able to do this? I want the word search to include the children's names and Halloween words.

Please respond as soon as possible.

Thank you,

Gail Elkus

Question:
Someone told me that at Puzzles.com you can create your own crossword or word find puzzle. Is that true? If so, how do I do it?
Jod

Question: I'm a second grade teacher and someone told me that I could come to your site and create word searches to use in my classroom at no charge. Well, I can't find where to go in you site to do this. Would appreciate it if you could e-mail me the directions to create your own word searches.
Thank-you,
Brenda C.

Answer: Unfortunately, we don't provide such a service ourselves, we only link to the respective sites providing it. At the moment our best tips for the word search engines allowing you to create your own word searches would be the one at edHelper.com. The service can be found here. The other one is from Discovery School's Puzzlemaker. The service can be found here.

See also Item 010 and Item 030 for more information on the custom word puzzles.
Modified: February 5, 2007
Posted: October 1, 2006
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136  Paint By Numbers Rules & Tutorials
136  Paint By Numbers Rules & Tutorials
Question: I got this puzzle, but I dont understand the rules and I cant solve it. Can you please please help me?
Kind regards
Christina


Answer: An informative interactive tutorial to the Paint by Numbers (a.k.a. Nonograms) puzzles can be found here. While at the page, please scroll it down and click the "Pic-a-Pix" link in the list.

One more example of an illustrative tutorial, though non-interactive, can be found at pbn.homelinux.com, specifically in their "Rules and How to Play" section, and with more practical examples in their "Tips" section.
Posted: September 3, 2006
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135  A Confusing Riddle
135  A Confusing Riddle
Question: Hi there. I am really confused by this riddle. I really want to get it. Can you please help?
Thank You
DQ...

"As old as time, as new as the dawn,"
"As dark as the mood of a new demon-spawn."
"As green as the fields, as small as a fly,"
"I am but one thing, yet many am I."

Answer: Unfortunately we weren't able to find the answer to this riddle. Thus, we've decided to contact Shelly Hazard from PuzzlersParadise on it and she prompted us to a Forum. Though there is no clear answer on the discussion board, it seems the closest one to the right answer is "Locust", which can make sense.
Posted: September 3, 2006
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134  Erasing Digits till Zero
134  Erasing Digits till Zero
Question: ALL THE DIGITS FROM 1 TO 9 ARE WRITTEN ON A BLACKBOARD.

PETE ERASES SOME OF THE DIGITS AND WRITES THE PRODUCT OF THE NUMBERS HE HAS ERASED. IN ADDITION, HE CAN WRITE NEW DIGITS.

AFTER SOME OF THESE OPERATIONS ONLY ONE DIGIT REMAINS ON THE BLACKBOARD.

PROVE THAT THE REMAINING DIGIT IS 0.

Can you help me on the above puzzle?
Regards,
Balraj

Answer: hi,
i have a solution to item 134.

Pete begins with some even digits on the board, 2,4,6 and 8. if he ever removes an even digit, it is multiplied with at least one other number to yield and even product whose final digit is also even and is written on the board. therefore, there is always at least one even digit on the board, Pete can't get rid of all of them. This means that if there is only a single digit on the board, it must be even.

Pete started with a 5 on the board. It is odd which means that at some point in time it was removed. when the 5 is removed it is multiplied by either and even or odd number. the product of 5 and an odd number will end in a 5 so this too will need to be removed from the board. eventually, Pete has to multiple a 5 with an even number which will end in a 0.

From here on, whenever the 0 is removed, it is multiplied with other numbers to give 0 and written back onto the board. therefore, the 0 cannot be removed and will always be on the board. therefore, the last digit is always a 0.

Cheers,
Jensen Lai

Answer: Here is the prove why the last digit is zero.

First, Pete must write the product of the numbers he erased. And the trick to getting 0 is to erase the number 5. If he erase 5 with any odd number, he will still get back 5 but if he erase 5 with an even number, he will get a zero.

In short the product of 5 with any number is either X5 or X0.(X represent a number)

And second, the product of an odd number and a even number gives u an even number. For example 2 * 3 = 6. So the five will definitely have a chance to be erased with an even number to get a number ending with 0.

The product of 0 with any number is still 0. So the numbers will all be erased and 0 will remain.

Wai J.S.

Answer: Solving this puzzle requires using the multiplicative properties of even numbers and five. Start by considering the even numbers. Because multiplying an even number times anything yields an even number, there will always be at least one even digit on the board.

An example of this can be seen by trying to remove all the even digits...

1,2,3,4,5,6,7,8,9 erase (2,4,6,8) 2*4*6*8 = 384, so write (3,4,8)
1,3,3,4,5,7,8,9 erase (4,8) 4*8 = 32, so write (2,3)
1,2,3,3,3,5,7,9 now... no matter what you multiply the 2 by, there will always be at least one even number on the board.

Now consider the properties of five. It is impossible to get rid of the five by multiplying it by an odd number.
This is because five times any odd number will yield a five in the ones place requiring you to write a new five on the board.

Now... we know that there will always be at least one even digit and a five that has not yet been multiplied by an even number. To reduce the number of digits on the board below these two digits to a single digit, we will eventually need to multiply them (because there is no way to remove the even digit, and five times the a non-even digit doesn't remove the five).

Five times an even digit will always results in a zero in the ones place. We have now been forced to write a zero on the board, and it should be easy to see from here that no matter how you deal with the remaining numbers, you'll end up multiplying them by zero and writing a zero on the board.

Dan L.G.
Modified: February 5, 2007
Posted: August 1, 2006
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The Number Grid Puzzle
133  The 1-8 Number Grid: No Two Adjacent Numbers Touch Each Other
Question: Hello
I have been given a puzzle and I have tried for ages to complete it so i was wondering if you would be so kind to help me. I have attached a copy of what it looks like below then an example:



I have been told by using numbers 1-8 I must then fit all of these in the grid without two numbers next to each other touching for example 2 can not be in contact with 1 and 3, Im really starting to doubt if this is possible. I have also been told 3 goes in the top left hand corner and there is only 1 way of it working???? As you can see if 3 goes in the top boxes that only leaves 3 boxes possible for 2 and 4 to go into and what every combination I try it still leaves 2 touching it driving me crazy now. I think im being wind up but could you please take a look and confirm or inform me of an answer please!
Many thanks
Connie M.

Answer: Yes, the puzzle has a solution, though the solution scheme, if not counting rotations and reflections, is unique. We already have this puzzle included into our Puzzle Playground collection - The Number Grid Puzzle.
Posted: August 1, 2006
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