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Subj:     Math4D - Puzzles And Problems
                 (Includes 26 jokes and articles, 04 1012,28,cf,vT3,27)>>>

..........Click Math4A for more puzzles
..........Click Math4B for more puzzles
......and Click Math4C for more puzzles
 


Animated numbers
from 256.com
Includes the following:  Math Dance Moves - Video (S1012)
.........................MATH PROB. - My Grandfather's And My Age (S677)
.........................MATH PROB. - Math Limericks (S674)
.........................MATH PROB. - The Sum Of The Cubes Of It's Digits (S673)
.........................MATH PROB. - Fishing Trip (S671)
.........................MATH PROB. - The Alaskan Pipeline (S669)
.........................MATH PROB. - Egg-Citing Eggs-Perience (S668)
.........................MATH PROB. - Multiplication (S667)
.........................MATH PROB. - 9-Digit Pandigital (S666)
.........................MATH PROB. - Number Of Taxis (S665)
.........................Math PROB. - Cats And Mice (S663)
.........................MATH PROB. - Coins In A Pocket (S662)
.........................MATH PROB. - Crossing The English Channel (S661)
.........................MATH PROB. - Eight Loaves Of Bread (S656)
.........................LOGIC PROB. - Twelve Statements (S675)
.........................LOGIC PROB. - Monocles And Glasses (S672)
.........................LOGIC PROB. - Large Numbers (S670)
.........................LOGIC PROB. - What's In Common? (S660)
.........................LOGIC PROB. - A Pile Of Pennies(S659)
.........................Puzzle - The Man In The Bar (S676)
.........................Puzzle -Brain Snack (S664)
.........................Puzzles - Uncle Art's Funland
.........................Puzzles - Uncle Art's Funland II (S686b)
.........................Puzzles - Uncle Art's Funland III (s693b)
.........................Puzzles - Uncle Art's Funland IV (S710b)
.........................Puzzles - Uncle Art's Funland V (S714b)
.........................Puzzles - Uncle Art's Funland VI (S734)
.........................Puzzles - A Pear-Plexing Problem (S690)

The MATH1 file are nonmathematical math jokes
    MATH2 file are mathematical jokes
    Math3 file contains tests, and formulas
    Math4 file contains problems
    Math5 file contains quotes
    MATH6 file contains lymerics, short jokes, stories, and QA

To see other type puzzles go to the following:
         Bottle Caps  -  (See whole file)
         BRAIN TEASERS-  (See whole file)
         Christmas4   - 'Christmas Carol Picture Puzzle'
         ILLUSIONS    - 'Two triangles Problem'
......................-..(See whole file)
         MAILMAN-ETC. - 'Milkman's Puzzle'
         Riddles file -  (See whole file)
         WORD PUZZLES -  (See whole file)
         TEST FACES   -  (See whole file)
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Subj:     Math Dance Moves (S1012)
          From: Carleen Trezza-Maselli on 6/3/2016
 Source: http://www.youtube.com/embed/sOK4q4OcEQc
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.........Click 'HERE' to see these math dance moves.
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Subj:     MATH PROB. - My Grandfather's And My Age
          From: MathNexus.wwu.edu on 1/6/2010 (S677)
Drawing from MathNexus...
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=184

 In 1932, my dad was as old as the last two digits of his
 birth year.  When he mentioned this interesting coincidence
 to his grandfather, my dad was surprised when his grandfather
 said the same thing was true for him as well.  Believe me,
 it's quite possible and I am able to prove it too.  How old
 was my father and his grandfather in 1932?
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 To see the solution click .
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Subj:     MATH PROB. - Math Limericks (S674) 
          From: MathNexus.wwu.edu on 12/11/2009
Drawing from Limerick-Poems.com
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=182

 Limerick Problem #1:
 Three different one-digit primes
produce me, if you're using times;
     If my digits you add,
   Another prime will be had.
 Two answers--and nothing else rhymes.

 Limerick Problem #2:
      There once was a cube 'twas found
Whose two digits, when switched clear around,
         Was the product (quite fair)
            Of a cube and a square,
   And its name will most surely astound.

 Source: John Gregory and Dale Seymour's Limerick Number Puzzles (Creative Publications, 1978)
 

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Drawing from tom on 8/21/2009
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 Hint: Take one clue at a time in the order given...try
       to write down what options remain at each step.

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 To see the solution click .
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Subj:     The Sum Of The Cubes Of It's Digits (S673)
          By Dave Ellis
          From: The Puzzle Page on 12/5/2009
Drawing from BusinessEnglishBook.com
 Source: http://www.puzzlet.co.uk/Puzzlets/Puzzlet_007.html

 Find integers less than 10,000 which are equal to the sum of
 the cubes of their own digits. Repeat the exercise for 4th powers.


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 To see the solution click .
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Subj:     MATH PROB. - Fishing Trip (S671) 
          From: MathNexus.wwu.edu on 11/19/2009
Drawing from MathNexus
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=133

 I was invited to spend a seven-day vacation fishing on
 Bayes Lake, and had to select one of these options for
 a fishing license:
 
Each day, I was allowed to catch fish until
the next fish I caught was heavier than any
previous fish I caught that day, or 
Each day, I was allowed to catch fish until
the total weight of fish caught that day
exceeds 10 pounds.

 Now, assume that the fish in Bayes Lake had random weights
 between 0 pounds and 10 pounds plus the costs of the two
 license options were equal.  Which license option was best,
 assuming I wanted to catch the maximum amount of fish?

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 Hint: Can you simulate this problem, using the random
 number generator on a TI calculator?

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 To see the solution click .
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Subj:     MATH PROB. - The Alaskan Pipeline (S669)
          From: MathNexus.wwu.edu on 11/2/2009
Drawing from MathNexus...
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=138

 Joe Flubb had contracted to replace a 2-mile section of
 oil pipeline in the far north. The replacement needed to
 be done during the coldest part of a bitter cold winter
 many miles north of the Arctic Circle.  The thermometer
 dropped to 40 Celsius degrees below zero on the day Joe
 and his crew installed the new section of pipeline, so
 understandably he was anxious to get the job completed
 as quickly as possible.

 According to the specifications, the new 2-mile pipeline
 was to be firmly anchored to the ground at each end.  The
 specs also required that expansion joints be placed at
 appropriate points along the new pipe to allow for expan-
 sion of the pipe when the temperature would go up.  This
 precaution seemed quite unnecessary to Joe because the
 metal he was using in the pipeline had an expansion
 coefficient of only 0.00005.  This means that every time
 the temperature increases by 1 degree Celsius, each foot
 of pipe grows by 0.00005 feet.  That's only 6 hundredths
 of one percent of an inch per foot of pipe.  Clearly such
 a minute expansion could be ignored, Joe decided.

 To make a drawing of the extended pipeline after the
 temperature increases, points A and B are 2 miles apart
 and where pipe is firmly anchored to the ground.  Point
 C in the midpoint of AB.  For ease of computation, assume
 that as the pipeline expands, the pipe lifts off the
 ground to a point D directly above point C (i.e. DC is
 perpendicular to AB), forming straight segments AD and BD.
 Thus, point D is the highest point of the pipe.

 Summer finally arrives.  The temperature soars to 30
 degrees Celsius.  The pipe will expand a bit.  Try to
 guess and determine:

 How high is CD?
 Could a mouse squeeze under the pipe at C?
 Could a sled dog squeeze under?
 A polar bear?
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 To see the solution click .
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Subj:     MATH PROB. - Egg-Citing Eggs-Perience (S668) 
          From: MathNexus.wwu.edu on 11/16/2009
Drawing from MathNexus
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=144

 A woman went to a local outdoor market with 20 eggs,
 another woman went with 30 eggs, and a third woman
 went with 50 eggs.  All three women sold their eggs
 at the same rate and received the same amount of money.
 How could this be?
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 Note: M.N. (Bellingham) has already submitted the
 clever solution of "0 eggs/hr. (if the rate is time)
 or $0/egg (rate is cost per egg)."  So, let's remove
 that possibility and assume that the rate exceeded
 the infamous value of 0.

 Hint: When thinking in terms of a rate, think in terms
 of both "dozen eggs" and "single eggs."

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 To see the solution click .
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Subj:     MATH PROB. - Multiplication (S667)
          From: MathNexus.wwu.edu on 1/11/2009
Drawing from MathNexus...
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=150

 The American Mathematics Contest 8 exam is designed for
 students in grades 6-8.  Based on the scores for the 2006
 exam, this problem was considered to be the "hardest" problem:

    In the multiplication problem ABA x CD = CDCD,
      where A, B, C, and D are different digits,
                    what is A+B?

 What is your answer?
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 To see the solution click .
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Subj:     MATH PROB. - 9-Digit Pandigital (S666)
          By Dave Ellis
          From: Anonymous Jr. on 10/10/2009
 Source: http://www.puzzlet.co.uk/Puzzlets/Puzzlet_002.html

 A pandigital is an integer containing every digit.  In this
 particular case, we're dealing with the 9-digit pandigital,
 since the zero isn't used.

 Take all the digits 1 through 9 in order, and insert as
 many plus and minus signs as you wish, wherever you want,
 to make an arithmetic sum of 100.  For example,

    123 + 45 - 67 + 8 - 9 = 100

 Are there any more ways of punctuating a 9-digit pandigital
 with plus and minus signs to make a sum of 100 as in the
 example above?  If so, what are they?

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 To see the solution click .
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Subj:     MATH PROB. - Number Of Taxis (S665)
         From: MathNexus.wwu.edu on 1/25/2009
Drawing from MathNexus...
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=174

 You are standing in the rain trying to hail a taxi cab in
 a large city.  While waiting, seven taxi cabs pass by that
 already have passengers.  The numbers on the taxi cabs are
 405, 73, 280, 179, 440, 301, and 218.

 Suppose you want to estimate the number of taxi cabs in the
 city while you are waiting.  Assuming that the taxi cabs are
 numbered consecutively from 1 to N and all are still in
 service, how can you use the observed numbers to estimate N,
 the total number of taxi cabs in the city?

 How many taxis do you think there are?  How can you test
 your method for estimating N?
 

 Note: In World War II, the Allies supposedly were able to
 estimate the size of the fleet of German tanks by analyzing
 the serial numbers on the tanks either captured or disabled
 in battle.
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 To see the solution click .
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Subj:     Math Prob. - Cats And Mice - Contest #7 (S663)
          From: Puzzles And Brain Teasers on 9/20/2009
Drawing from TysToyBox
 Source: (Removed from afunzone.com)

 If three cats catch three mice in three minutes, how many
 cats would be needed to catch 100 mice in 100 minutes?

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 To see the solution click .
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Subj:     MATH PROB. - Coins In A Pocket (S662) 
          From: Lubin100 on 9/16/2009 
          Source: Problematical Recreations ^10
                  Litton Industries in 1968, 
                  Beverly Hills, CA
Photo from IOffer.com
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 If Mr. Lubin has one coin in his pocket, could he have
    exactly one dollar in change?  Yes, a dollar coin.
 If Mr. Lubin has two coins in his pocket, could he have
    exactly one dollar in change?  Yes, two half dollars.
 If Mr. Lubin has three coins in his pocket, could he have
    exactly one dollar in change?  Yes, one half dollar
    and two quarters.
 If Mr. Lubin has four coins in his pocket, could he have
    exactly one dollar in change?  Yes, four quarters.
 If Mr. Lubin has five coins in his pocket, could he have
    exactly one dollar in change?  Yes, one half dollar,
    one quarter. two dimes, and a nickel.
 If Mr. Lubin has one hundred and one coins in his pocket,
    could he have exactly one dollar in change?  No.
 What is the smallest number of American coins Mr. Lubin
    could have in his pocket such that they could not
    total one dollar?
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 To see the solution, click .
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Subj: MATH PROB. - Crossing The English Channel (S661) 
      From: Lubin100 on 9/10/2009 
      Source: Problematical Recreations ^10
              Litton Industries in 1968, 
              Beverly Hills, CA

 Commander Whitebread's yacht can do 4 knots per hour.
 If he requires 3 hours to sail the English Channel at
 its narrowest, what is the distance involved?

 Hint, it's not 12 nautical miles.

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 To see the solution, click .
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Subj:     MATH PROB. - Eight Loaves Of Bread (S656)
          From: Puzzles And Brain Teasers  on 7/30/2009
 Source: (Removed from afunzone.com)
Drawing from ImageZoo.com

 A hunter met two shepherds, one of whom had three loaves
 and the other, five loaves.  All the loaves were the same
 size.  The three men agreed to share the eight loaves
 equally between them.  After they had eaten, the hunter
 gave the shepherds eight bronze coins as payment for his
 meal.  How should the two shepherds fairly divide this money?
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 To see the solution, click .
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Subj:     LOGIC PROB. - Twelve Statements (S675)
          From: MathNexus.wwu.edu on 12/20/2009
GIF from MathNexus
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=134

 Consider this list of twelve statements:
 
Precisely one of these statements is false.
Precisely two of these statements are false.
Precisely three of these statements are false.
Precisely four of these statements are false.
Precisely five of these statements are false.
Precisely six of these statements are false.
Precisely seven of these statements are false.
Precisely eight of these statements are false.
Precisely nine of these statements are false.
Precisely ten of these statements are false.
Precisely eleven of these statements are false.
All twelve of these statements are false.

 Which statements are true? Explain.

 Which statements are false? Explain.

 Any statements that could be true or false? Explain.
 
  Source: James Tanton's "A Dozen Questions About a Dozen," Math Horizons, April 2007, pp. 12-16.

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 Hint: Consider a smaller problem:
 
Precisely one of these statements is false.
Exactly two of these statements are false.

 Does this help?  Can you transfer your reasoning
 to the full set of twelve statements?
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 To see the solution, click .
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Subj:     LOGIC PROB. - Monocles And Glasses (S672) 
          From: MathNexus.wwu.edu on 11/28/2009
Drawing from Millan.net...
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=131

 In a small village known as Spectropolis, every person
 wears corrective lenses (monocles or glasses) that are
 either clear or tinted.

 Half the people wear monocles and half of the remaining
 people do not wear tinted lenses.

 Also, half of the monocle wearers do not wear tinted lenses.

 If eighteen tinted lenses are enough to exactly supply the
 needs of the people in Spectropolis, what is the village's
 population?

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 Hint: Try to draw a picture to represent both the full
 situation and the individual clues.  Also, will guess-
 and-check work?
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 To see the solution, click .
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Subj:     LOGIC PROB. - Large Numbers (S670)
         From: MathNexus.wwu.edu on 9/7/2009
Photo from MathNexus
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=135

 Consider this list of numbers, in increasing order:
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 Match one of the above numbers as a "best" estimation
 of each of the following items:
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 1. Number of people in the world
 2. Number of grains of sand that would fill
      a sphere the size of the earth
 3. Average number of hairs on one's head
 4. Age of the universe (in years)
 5. Number of possible chess moves in a chess game
 6. Number of times your heart beats in your life
 7. Number of words in the English language
 8. Number of atoms in the universe
 9. National debt (in dolars)
10. One light-year (distance light travels in a year) in miles
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 Good luck!
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 To see the solution, click .
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Subj:     LOGIC PROB. - What's In Common? (S660) 
          From: Lubin100 on 9/3/2009 
          Source: Problematical Recreations ^10
                  Litton Industries in 1968, 
                  Beverly Hills, CA

 What do the following have in common:
      The Greenwich Meridian,
      a fine roast rib of beef,
      television time from 7 to 10 PM,
      and
      a positive integer n which divides the number ( n - 1 )! + 1?
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 To see the solution, click .
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Subj:     LOGIC PROB. - A Pile Of Pennies (S659)
          From: MathNexus.wwu.edu on 1/25/2009
Photo from Pachd.com
 Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=152

 You are blindfolded, then asked to sit down at a table.  On
 the table is a large number of pennies.  You are told that
 ten of the pennies show HEADS up, while the rest show TAILS.
 You cannot feel the difference between a HEADS or TAILS being up.

 Your Task: Arrange the pennies into two disjoint groups so that
 each group shows an equal number of HEADS up.

 Note: Though blindfolded, you are still able to count the pennies
 and turn any penny over while sorting them into groups.
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 Hint: Without a blindfold, try to solve the problem by
 experimenting with a pile of pennies.  Be sure to always
 start with exactly ten pennies showing HEADS.
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 To see the solution, click .
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Subj:     Puzzle - The Man In The Bar (S676)
          From: LABLaughsRiddles on 12/23/2009
Bartender from Animated Cliparts
 Source: http://lists.topica.com/lists/LABLaughsRiddles/read
........./message.html?mid=1722122303?sort=d?start=2402

 A man walks into a bar and asks the barman for a glass
 of water.  The barman pulls out a gun and points it at
 the man.  The man says, "Thank you" and walks out.

 This puzzle has claims to be the best of the genre.  It
 is simple in its statement, absolutely baffling, and yet
 with a completely satisfying solution.  Most people
 struggle very hard to solve this one, yet they like the
 answer when they hear it or have the satisfaction of
 figuring it out.
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 To see the solution, click .
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Subj:     Puzzle - Brain Snack (S664)
          By Peter Frank on 9/22/09
 Source: (Removed from creators.com)
Logo from Brain Snack

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 Which food item (1-7) is located clockwise six places
 away from the food item that is located counterclock-
 wise two places away from the food item that is located
 clockwise precisely next to the cheese cube (5)?
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 To see the solution, click .
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Subj:     Puzzles - Uncle Art's Funland
          By N.A.Nugent on 12/16/2009
..........At: (Removed from unitedfeatures.com)

 Uncle Art's Funland appears in the Sunday comics.
 Click 'HERE' to try several Funland puzzles which
 are designed to be solved by an eight year old kid.

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Subj:     Puzzles - Uncle Art's Funland II (S686b)
          By N.A.Nugent on 2/28/2010
 Source: (Removed from unitedfeatures.com)

 Uncle Art's Funland appears in the Sunday comics.
 Click 'HERE' to try to add the numbers 1 to 9
 and get a total of 135.
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Subj:     Puzzles - Uncle Art's Funland III (S693b)
          By N.A.Nugent on 4/25/2010
..........At: (Removed from unitedfeatures.com)

 Uncle Art's Funland appears in the Sunday comics.
 Click 'HERE' to try arrange these five numbers in
 such a way that when the first two are multiplied
 by the middle one, you get the other two.

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Subj:     Puzzles - Uncle Art's Funland IV (S710b)
          By N.A.Nugent on 8/22/2010
 Source: (Removed from unitedfeatures.com)

 Uncle Art's Funland appears in the Sunday comics.
 Click 'HERE' to try to make each of the four rows
 add up to 21.
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Subj:     Puzzles - Uncle Art's Funland V (S714b)
          By N.A.Nugent on 9/19/2010
..........At: (Removed from unitedfeatures.com)

 Uncle Art's Funland appears in the Sunday comics.
 Click 'HERE' to multiply this magic sixteen-digit
 number by any single number from 1 to 9, and the
 answer will always contain the sixteen original
 digits.

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Subj:     Puzzles - Uncle Art's Funland VI (S734)
          By N.A.Nugent on 2/6/2011
 Source: (Removed from unitedfeatures.com)

 Uncle Art's Funland appears in the Sunday comics.
 Click 'HERE' to try to make a perfect square with
 one dot on each side.  The numbers are used for
 the solution.
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Subj:     Puzzles - A Pear-Plexing Problem (S690)
          From: Games Magazine ( in BrainTeasers)
          Published in the 80s and 90s
 From Vol.6 No.6 Issue 32 in October 1982, page 22

 Can you turn this picture into a correctly worked
 division problem, by substituting a different digit
 from 1 to 9 for each type of fruit?  Click 'HERE'
 this division-logic problem.

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                           -(o o)-
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............................From Millan.net
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