| Subj:
Math4b - Supp2 (Gz)
(Includes 44 jokes and articles) |
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Mystery Numbers from The Little Math Puzzle |
Solve the following addition alphametic if B = 1:
ABCD
ABCD
ABCD
_____
EBCEF
x
x
x
x
x
Scroll down for the answer
x
x
x
x
x
Here it comes
x
x
x
x
x
7143
7143
7143
_____
21429
There can be no carry from the
hundreds column. So, A
must be 7 to have a two-digit
product of 3 that ends in
1. Thus, E is 2. Then C must
be 4 with no carry from the
units column. Since there is
no carry in the units column,
D must be 3 since 1 and 2 are
used and any larger D would
produce a carry. Thus, F must
be 9.
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Subj:
Math Prob. - Archery Puzzle (S588)
From the book "More Mathematical Puzzles of Sam Loyd" Edited by Martin Gardner From: Dover Publications in 1960 |
Sam Loyd gives us an archery
target in which you can score
16, 17, 23, 24, 39, and 40 points.
How many arrows does it
take to score exactly 100 points
on this target? You can
view this simple problem, drawing,
and solution on my web
site by clicking 'HERE'.
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| Subj:
Math Prob. - Trading In The Philippines (S587)
From the book "More Mathematical Puzzles of Sam Loyd" |
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I recently came upon an old travel
book that described some of
the primitive methods once used
for conducting business in the
Philippines. The traveling
merchant shown in the picture uses
a balance scale and four metal
rings that serve as weights.
The rings are different weights
and sizes and he carries them
on his arms like bracelets.
With these four rings, the trader
can weigh anything from a
quarter of a pound up to ten
pounds. These weights enable the
trader to get within a quarter
of a pound of any weight within
the limits mentioned.
What are the weights of the four
rings?
You can view this simple, historic
problem, sketch, and solution
on my web site by clicking 'HERE'.
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Math Prob. - Socks In
A Drawer (S586)
From: Puzzles And Brain Teasers on 4/12/2008 |
A drawer contains a number of
red and blue socks. If I pull
two out at random, then the
chance of them being a red pair
is a half and the chance of
them being a blue pair is a twelfth.
How many socks are in the drawer?
The solution can be found on my web site by clicking 'HERE'.
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| Subj:
Math Prob. - Problems of History (S586)
From the book "More Mathematical Puzzles of Sam Loyd" |
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When I was a boy, I was given
nine ponderous volumes of Hume's
History of England. I
found that by placing the volumes on
two shelves as shown in the
sketch, the fraction 6729/13458
is exactly equal to 1/2.
Is it possible to find other
arrangements, using all nine
volumes, that make fractions
equivalent to 1/3, 1/4, 1/5,
1/6, 1/7, 1/8, and 1/9?
You can view this difficult problem
and sketch on my web site
by clicking 'HERE'.
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Subj: Math
Prob. - Walking From The Train Station (S583)
From: Puzzles And Brain Teasers on 3/25/2008
Source: http://www.apuzzlezone.com/adailypuzzle/03-25-08.html
A man hires a taxi to meet him
at the railroad station at
3pm to take him to an appointment.
He catches an earlier
train and arrives at 2.
He decides to start walking, and
is picked up en route by the
taxi. He arrives twenty
minutes early for his appointment.
How long did he walk?
The solution can be found on my web site by clicking 'HERE'.
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Subj: Math
Prob. - Four Digit Number #2 (S579b)
From: Puzzles And Brain Teasers on 2/19/2008
Source: http://www.apuzzlezone.com/adailypuzzle/02-19-08.html
Find a four-digit number, with
four different digits, that
equal to the number formed by
its digits in descending order
minus the number formed by its
digits in ascending order.
The solution can be found on my web site by clicking 'HERE'.
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Subj: Math
Prob. - Brothers And Sisters (S577b)
From: Puzzles And Brain Teasers on 1/31/2008
Source: http://www.apuzzlezone.com/adailypuzzle/01-31-08.html
"I have as many brothers as sisters,
but my brothers have
twice the number of sisters
as brothers. How many of us
are there?"
The solution can be found on my web site by clicking 'HERE'.
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Subj: Math
Prob. - Find Two Numbers (S573)
From: Puzzles And Brain Teasers on 1/11/2008
Source: http://www.apuzzlezone.com/adailypuzzle/01-11-08.html
My first is a number, my second
another. And each, I assure
you, will rhyme with the other.
My first you will find is
one-fifth of my second.
And truly my whole a long period
reckoned. Yet my first
and my second (nay, think not I
cozen), when added together
will make but two dozen.
How many am I?
The solution can be found on my web site by clicking 'HERE'.
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Subj: Math
Prob. - 100 Men (S570)
From: Puzzles And Brain Teasers on 9/12/2007
Source: http://www.apuzzlezone.com/adailypuzzle/12-15-07.html
In a certain town, of each 100
men 85 are married, 70
have a telephone, 75 own a car,
and 80 own their own
house. Always on a base
of 100 men, what is the least
possible number who are married,
have a telephone, own
a car, and own their own house?
The solution can be found on my web site by clicking 'HERE'.
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Subj:
Math Prob. - Cat Equation (S564a in Cats1)
From: edapsmas on 11/15/2007 Bus drawing from FlickR |
There are 7 girls in the bus.
Each girl has 7 bags.
Each bag has 7 big cats.
Each big cat has 7 kittens.
Each cat has 4 legs.
Q: How many legs are in the bus?
The quantity of legs is the password
for the below database.
If you answer right, add your
name to the list on the right
and forward it to a friend.
http://jokelibrary.net/animals/a_to_c/cats1-equation.xls
There really is a right answer that will open it.
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Subj: Math
Prob. - Odd-One-Out (S556)
From: Puzzles And Brain Teasers on 9/12/2007
Source: http://www.apuzzlezone.com/adailypuzzle/09-12-07.html
Which of these numbers is the odd-one-out?
43 - 26 - 50 - 37 - 17 - 82
The solution can be found at the source above.
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Subj: Math
Prob. - Four Digit Number (S553c)
From: Puzzles And Brain Teasers on 8/21/07
Source: http://www.apuzzlezone.com/adailypuzzle/08-21-07.html
What is the four-digit number
in which the first digit is
one third the second, the third
is the sum of the first
and second, and the last is
three times the second?
The solution can be found at the source above.
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Subj: MATH
PROB. - A Length Of Rope (S547c)
From: Puzzles And Brain Teasers on 7/03/07
Source: http://www.apuzzlezone.com/adailypuzzle/07-03-07.html
A man ordered a length of rope
by telephone from his
nearest hardware shop.
But when he went to collect the
rope, he found that the assistant
had miswritten the
order by interchanging feet
and inches. As a result
of this, the rope was only 30
percent of the length
that the man wanted. So,
what length did he want and
what length did he get?
The solution can be found at the source above.
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Subj: MATH
PROB. - Find Two Numbers (S545)
From: Puzzles And Brain Teasers on 6/25/07
Source: http://www.apuzzlezone.com/adailypuzzle/06-26-07.html
Find two whole numbers with the
smallest possible difference
between them which, when multiplied
together, will produce
1234567890?
The solution can be found at the source above.
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Subj: MATH
PROB. - Find Three Digits (S541c)
From: Puzzles And Brain Teasers on 4/30/07
Source: http://www.apuzzlezone.com/adailypuzzle/05-23-07.html
The problem is to find three
different digits such that, in
whatever order they are used
to make a three-digit number,
that number will not be divisible
by: 3,5,7,11,13,or 17.
Furthermore, since more than
one solution is possible, we
are looking for the three digits
whose product is the greatest.
To ensure that there is no ambiguity,
suppose the three digits
are a, b, and c. Then, none
of the numbers: abc, acb, bac, bca,
cab, and cba will divide by
3, 5, 7,11,13, or 17 and also the
product of a x b x c must be
as large as possible.
The solution can be found at the source above.
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Subj: MATH
PROB. - Two Hourglasses And An Egg (S538c)
From: Puzzles And Brain Teasers on 4/30/07
Source: http://www.apuzzlezone.com/adailypuzzle/05-05-07.html
With a 7-minute hourglass and
an 11-minute hourglass, can you
explain the quickest way to
time a boiling egg for 15 minutes?
The solution can be found at the source above.
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Subj: Math
Prob. - Average Speed (S537)
From: Puzzles And Brain Teasers on 4/30/07
Source: http://www.apuzzlezone.com
........./adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #28"
A man flew to Puzzleland at the
fantastic speed of 1000
miles per hour. There
he picked up his ever faithful
friend and flew back, burdened
by the extra weight, at
only 500 miles per hour. What
was his average speed?
The solution can be found at the source above.
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Subj: Math
Prob. - Cookies And Milk (S537)
From: Puzzles And Brain Teasers on 4/5/07
Source: http://www.apuzzlezone.com/adailypuzzle/05-01-07.html
The new teacher thought she'd
get the children to drink the
milk at recess more cheerfully
by offering cookies with it.
A lot of the children had illnesses
and were out, causing
various numbers of children
to be present each day. One day
the teacher noted that if there
were five fewer children the
next day, they would each get
two cookies more if she brought
the same number she had that
day. However, the absentee list
was low the next day, and she
had four more children instead
of five fewer. This meant
that each received one cookie less
than each child had received
the day before. How many cookies
did the children get the second
day?
The solution can be found at the source above.
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Subj: Math
Prob. - The Groom's Age (S534)
From: Puzzles And Brain Teasers on 4/5/07
Source: http://www.apuzzlezone.com/adailypuzzle/04-12-07.html
When the two met, one was half
the other's age plus seven
years. Ten years later,
when they married, the bride was
thirty, but this time one was
nine-tenths the age of the
other. How old was the
groom? (No fractions, no partial
years-whole numbers only)
The solution can be found at the source above.
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Subj: Math
Prob. - Numbers On A Dice (S534c)
From: Puzzles And Brain Teasers on 4/5/07
Source: http://www.apuzzlezone.com/adailypuzzle/04-06-07.html
The numbers on a die are not
placed at random. On every
pair of opposite faces the sum
of the numbers is 7: 6 is
opposed to 1, 5 to 2, and 3
to 4. There are several other
ways of placing six numbers
on a die. How many ways are
there altogether?
The solution can be found at the source above.
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Subj: Math
Prob. - What Is The Next Number? (S533c)
From: Puzzles And Brain Teasers on 4/5/07
Source: http://www.apuzzlezone.com
........./adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #24"
What is the next number in this
series;
18, 46, 94, 63, 52, ?
The solution can be found at the source above.
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Subj: Math
Prob. - Five Digit Number (S532c)
From: Puzzles And Brain Teasers on 3/19/07
Source: http://www.apuzzlezone.com/adailypuzzle/03-27-07.html
What is the five-digit number,
no zeroes, in which the second
digit is three times the first,
the third is one more than
the second, the fourth is four
times the first, and the last
is one-half more than the second?
The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - Pink, White, And Blue (S582)
From: Puzzles And Brain Teasers on 3/20/08
Source: http://www.apuzzlezone.com/adailypuzzle/03-21-08.html
Blue always answers a question
truthfully; a White always
lies; a Pink, answering two
or more questions, tells the
truth and lies alternately;
his first answer, however, may
be either truthful or otherwise.
A visitor to the islands approached
a group of three natives,
whose names were Mr. Pink, Mr.
White, and Mr. Blue. One was
known to be a Pink, one a White,
one a Blue. Taking Mr. Pink
aside, the visitor put some
questions to him.
"Mr. Pink," he said, "are you the Pink, the White, or the Blue?"
"I am the Pink, sir."
"And Mr. White?"
"He is the White."
"So Mr. Blue is the Blue?"
"Obviously."
Is Mr. Blue the Blue? If not, what is he?
The solution can be found on my web site by clicking 'HERE'.
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Subj: LOGIC
PROBLEM - Figure Analogy (S580)
From: Puzzles And Brain Teasers on 3/3/08
Source: http://www.apuzzlezone.com/adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #72"
Of the four choices below, which
best completes this figure analogy?
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The solution can be found on
my web site by clicking 'HERE'.
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Subj: LOGIC
PROBLEM - Cube In Perspective (S580)
From: Puzzles And Brain Teasers on 2/25/08
Source: http://www.apuzzlezone.com/adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #71"
Here is a cube presented from
four different perspectives.
One of the views is incorrect.
Can you tell which one?
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The solution can be found on my web site by clicking 'HERE'.
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Subj: LOGIC
PROBLEM - Which Figure Does Not Belong (S577)
From: Puzzles And Brain Teasers on 1/27/08
Source: http://www.apuzzlezone.com/adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #67"
Which figure below does not belong
with the rest?
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The solution can be found on
my web site by clicking 'HERE'.
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Subj: LOGIC
PROBLEM - Missing Numbers (S561)
From: Puzzles And Brain Teasers on 10/4/07
Source: http://www.apuzzlezone.com/adailypuzzle/10-04-07.html
The following multiplication
example uses every digit from
0 to 9 once (not counting the
intermediate steps). Fill in
the missing numbers.
7 x x
4 x
---------
x x x x x
The solution can be found on my web site by clicking here.
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Subj: LOGIC
PROBLEM - Three Names (S559)
From: Puzzles And Brain Teasers on 10/2/07
Source: http://www.apuzzlezone.com/adailypuzzle/10-02-07.html
At a party at College, three
hosts/hostesses were asked to
pin their names on their shirts.
It looks like they wrote
numbers instead. Can you figure
out their names? Here are
the names on the tags: 31770,
317537, and 31573.
The solution can be found on my web site by clicking 'HERE'.
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Subj: LOGIC
PROBLEM - The Right Cube (S548c)
From: Puzzles And Brain Teasers on 7/15/07
Source: http://www.apuzzlezone.com/adailypuzzle
........./brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #39"
Which of the four cubes pictured
below are correct views
when the six squares are folded
properly into a cube?
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The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - Three Playing Cards (S544)
From: Puzzles And Brain Teasers on 5/15/07
Source: http://www.apuzzlezone.com/adailypuzzle
........./brainteasercontest.html
Three playing cards are placed,
face down, on a table.
Hints:
1) A jack is to the left of
a queen.
2) To the left of a spade is
a diamond.
3) A king is right of a heart.
4) A spade is right of a king.
Question: Identify the cards.
The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - 15 Delegates (S541)
..........From:
Puzzles And Brain Teasers on 5/15/07
Source: http://www.apuzzlezone.com/adailypuzzle/05-15-07.html
A total of 15 delegates from
Africa, Asia, America, and
Europe meet at an international
conference. Each continent
sends a different number of
delegates, and each is
represented by at least 1 delegate.
America and Asia send
a total of 6 delegates.
Asia and Europe send a total of 7
delegates. Which continent
has sent 4 delegates?
The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - Which Diagram Is Different #2 (S538)
From: Puzzles And Brain Teasers on 4/15/07
Source: http://www.apuzzlezone.com
........./adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #29"
Four of the figures below share
a characteristic that the
fifth figure doesn't have.
Can you determine which figure
doesn't go with the others?
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The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - What Is Next In The Sequence (S536)
From: Puzzles And Brain Teasers on 4/26/07
Source: http://www.apuzzlezone.com/adailypuzzle/04-26-07.html
What would logically come next
in this sequence'?
S30 031 N30
The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - Two Towns And A Railroad (S536c)
From: Puzzles And Brain Teasers on 4/24/07
Source: http://www.apuzzlezone.com/adailypuzzle/04-25-07.html
Two towns are linked by a railroad.
Every hour on the hour
a train leaves each town for
the other town. The trains
all go at the same speed and
every trip from one town to
the other takes 5 hours.
How many trains are met by one
train during one trip?
The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - Liars And Truthtellers (S535c)
From: Puzzles And Brain Teasers on 4/14/07
Source: http://www.apuzzlezone.com/adailypuzzle/04-14-07.html
Lost in Liars and Truthtellers
Town, you are in real trouble.
You need to ask directions from
a Truthteller, but how can
you tell who is a Truthteller?
You stop a group of three
women and ask if they are Truthtellers.
The first says, "Two
of us are Truthtellers."
The second says, "Only one of us is
a Truthteller." And the
third one chimes in, "The last woman
who spoke is telling the truth."
Well, who was or were
Truthtellers?
The solution can be found at the source above.
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Subj: LOGIC
PROBLEM - Which Diagram Is Different (S535)
From: Puzzles And Brain Teasers on 4/15/07
Source: http://www.apuzzlezone.com
........./adailypuzzle/brainteasercontest.html
This Weeks Contest Teaser "Puzzle #26"
One of the following diagrams
doesn't fit with the others.
Which one is it?
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The solution can be found at the source above.
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| Subj:
Puzzle - Puzzling Scales By Sam Loyd (S585)
From the book "More Mathematical Puzzles of Sam Loyd" |
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Sam Loyd gives us three balanced
scales containing bottles, glasses,
pitchers, and plates.
You must determine how many glasses will
balance one bottle. You
can view this simple, elegant problem
on my web site by clicking 'HERE'.
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Subj: Puzzle
- Count The Squares (S578)
From: Puzzles And Brain Teasers on 2/11/2008
Source: http://www.apuzzlezone.com/adailypuzzle/brainteasercontest.html
How many different squares (of
any size) are in this figure?
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12, 13, 14, 15, 16, 17, 18, 19, or 20 |
The solution can be found on my web site by clicking 'HERE'.
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Subj: Puzzle
- Three Utilities (S578)
From: Puzzles And Brain Teasers on 2/9/2008
Source: http://www.afunzone.com/utilitiespuzzle.html
You have three houses or squares
drawn on paper and below
them Three smaller squares representing
gas, water, and
electric. Can you draw
a line and get each utility into
every house (9) total lines,
without crossing over any line?
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The solution can be found on my web site by clicking 'HERE'.
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Subj: Puzzle
- Missing Number (S576)
From: Daily Brain Teasers/Puzzles on 1/21/08
Source: http://www.apuzzlezone.com
........./adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #66"
What is the missing number in
the circle?
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The solution can be found on my web site by clicking 'HERE'.
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Subj: Puzzle
- Making Bracelets (S558)
From: Daily Brain Teasers/Puzzles on 9/22/07
Source: http://www.apuzzlezone.com/adailypuzzle/09-22-07.html
Miss Tryon is the teacher of
a large class of girls at one
of our more enterprising schools.
She is responsible for
several subjects, including
what is vaguely called "handwork,"
but her principal interest is
in mathematics. "I tried an
interesting experiment this
week," she told me. "I had
available a large number of
beads. They were of three colors:
red, yellow, and green.
"I showed my girls how to make seven-
bead bracelets-the beads are
just strung on threads at regular
intervals-and then I suggested
that each girl should make a
bracelet for herself.
My only condition was that she should
use three beads of any one color;
two of a second color; two
of a third."
"And what was the experiment exactly?" I asked.
"Why," said Miss Tryon, "I wanted
to see how many different
bracelets were produced by these
haphazard instructions.
There were thirty-two, which
is about what might have been
expected. It would have
been possible-but only just possible-
for every girl to construct
a bracelet different in appearance
from all the others."
How many girls are there in the
class?
The solution can be found at the source above.
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Subj: Puzzle
- Count The Triangles II (S545c)
From: Daily Brain Teasers/Puzzles on 6/17/07
Source: http://www.apuzzlezone.com
........./adailypuzzle/brainteasercontest.html
THIS WEEKS CONTEST TEASER "Puzzle #35"
How many triangles of any size
are in this figure?
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The solution can be found at the source above.
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Subj: Puzzle
- Distributing A Man's Legacy (S533)
From: Puzzles And Brain Teasers on 3/29/07
Source: http://www.apuzzlezone.com/adailypuzzle/03-29-07.html
A man left a legacy of $10,000
to three relatives and their
wives. 'Together, the
wives received $3960. June received
$100 more than Camille, and
Martha received $100 more than
June. Jack Smith was given
just as much as his wife, Horace
Saunders got half as much again
as his wife, and Terry Conners
received twice as much as his
wife. What was the first name
of each man's wife?
The solution can be found at the source above.
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| Subj:
Puzzle - Remembering Pi (S532)
From: Discovery Magazine on 3/24/2007 Issue: Top 100 Science Stories of 2006 |
Poster from
Unihedron |
The sentence "May I draw a round
perimeter?" is a mnemonic
for remembering the first six
digits of pi: Count the number
of letters in each word and
you get 3.14159. Each of the
following phrases is also a
mnemonic for pi. Can you figure
out how each mnemonic stands
for 3.14159? Hint: Consider
the spelling, sound, and shapes
of the words.
1. We won your fun drive sign.
2. Circles and diameters are
equally important.
3. The easy vowels echo mathematical
magnitude.
4. Bring in your initial six
equations.
To see the solution click 'HERE'.
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