Answer: the other person is you, write what fits you.1Q. There's an electric train traveling south. The wind is from the north-west.
In which direction would the smoke from the train be blowing?
1A. There is no smoke, it's an electric train.
2Q. Think of words ending in -GRY. Angry and hungry are two of them. There are
only three words in the English language. What is the third word? The word is
something that everyone uses every day. If you have listened carefully, I have
already told you what it is.
2A. The word is language.
3Q.If yesterday had been Wednesday's tomorrow and tomorrow is Sunday's
yesterday, what day would today be?
3A. Friday
4Q. You are in the center of an edge of a forest that is 10km wide and 10km
long. If you are walking in a straight line, how far can you walk into the
forest?
4A. 5km or half way, otherwise you''re walking out of the forest.
5Q. What's colorless (but still visible), and weightless, but if you put it into
a barrel, the barrel would become lighter?
5A.A hole
6Q. There is a purse containing 100 coins. The total amount of money in the purse
is $5.00. There are no nickles in the purse. How many of each coin are in the
purse?
6A. There are a bunch of solutions for this, but here are a few:
75 pennies $0.75
15 dimes $1.50
9 quarters $2.25
1 halfdollar $0.50
---------
90 pennies $0.90
6 dimes $0.60
1 half dollar coin $0.50
3 dollar coins $3.00
--------
75 pennies $.75
20 Dimes $2.00
1 Quarter $.25
4 Half Dollars $2.00
Kim LaChance
1.) Joan and Jane are sisters. Jean is Joan's daughter and 12 years younger than her aunt. Joan is twice as old as Jean. Four years ago, Joan was the same age as Jane is now, and Jane was twice as old as her niece. How old is Jean?
Answer: Joan is 32, Jane is 28, and Jean is 16.
I found this problem on line at the following website.
http://www.justriddlesandmore.com/mathsols.html
2.) Joe wants to save some money so that he can buy a truck. His boss, decides to help him out and give him a deal. He says that he can either take his biweekly check of $1,000 or he could accept his deal. His deal goes like this; the boss plans to put two $100 checks, two $500 checks, and a $1,000 check in a bag and allow Joe to pick two checks instead of getting paid his usual $1,000. Which option would be better for Joe in the long run?
Answer: by drawing from the bag Joe only has a fifty percent chance of getting the same amount or higher then his pay check, which means he has a fifty percent chance of getting a lower amount. It would be to Joes best interest to take the biweekly checks of $1,000. This way he is sure to get that amount and will not lose money.
3.) Tom has a large square container that is 1ft x 1ft x 1ft (a cubic foot). How many gallons of water would it take to fill the container? (Emptying the gallon into the container not putting the gallon container in itself)
Answer: convert cubic feet to inches and you get 1,728. I then found out that one gallon is equal to 231 cubic inches. I took 1,728 and divided it by 231 to get 7.48 gallons.
This was a real life problem for me. My father is in the water tank business and has to figure out how many gallons of water can fit into big water towers. He asked me if I knew how many gallons was in a cubic foot. I took a guess of like 3 or 4, and he told me to try and figure out the answer. I was amazed to find out how much water actually fits into a cubic foot. I know this is a problem that needs some background information or research on how many cubic inches are in a gallon, but I thought it was very interesting.
Nicole Payeur
1. Five friends go to the movie theater, Jodi, Ken, Loni, Matt, and Nell. Each friend has a movie genre they prefer: romance, horror, action, comedy, and any genre. Each person bought something at the concession stand: M&Ms, soda, popcorn, water, and Skittles.
Match the person with the movie genre they prefer and what they bought at the concession stand.
Clues:
Jodi and Ken are siblings, one likes romance movies.
The person who sees a horror movie drinks soda.
Popcorn is a must for romance movies.
Two friends go to an action movie.
Matt doesn't like soda or romance movies.
Two girls eat candy and go to the same movie.
Nell and Matt are siblings.
Jodi likes salty food.
Matt's sister eats candy and will see anything.
Loni's boyfriend drinks water.
Only one person goes to the romance movie.
Nell is a chocoholic. (loves chocolate)
Matt's will only see one type of movie.
The person who drinks water doesn't go to an action movie.
Loni goes to a movie with her boyfriend's sister.
2. Mrs. Baker babysits her neighbor's 2 year old son, Benny. Benny is a curious
child and will wonder off in the blink of an eye. Mrs. Baker's neighbor signed
a permission slip for Benny to be put in a toddler harness when in the back
yard as long as he has plenty of room to explore and as long as he can't hurt
himslef or unfasten the harness. Mrs. Baker has a large square backyard,
surrounded by a white picket fence.
If the anchor for the harness is in the middle of the backyard, and the tether
of the harness is 40 ft long, long enough that Benny can stand by the fence and
touch it. Benny can move in all directions around the anchor. What is the
area of the backyard and what is the area in which Benny can move around? How
much of the backyard is safe from Benny?
Answer: Radius = 40ft, Diameter = 80 ft, area is Pi(r^2), so Benny can move in a
circle with area 1600*Pi Ft^2 (5,026.5 ft^2). The are of the backyard is 80 ft
= one side * four sides is 6400 Ft^2.6400 ft^2 - (1600*Pi ft^2) = 1,373.5 Ft^2 are safe from Benny.
3. Given a 3 x 3 dot grid, connect all the dots with exactly 4 lines and without lifting your pencil. (I was given this problem in 8th grade at McKelvie Middle Scholl in Bedford, NH)
Kerry Boulanger
2.) A snail was thrown down a hole at the beach by a mean little boy who hates snails for some odd reason. The hole where the snail was dropped was 50 feet deep. Each day, the snail climbed up 10 feet but slid down 2 feet at night. How many days did it take him to get to the top? What about if the hole was 50 feet and he climbed 5 feet a day and slid 3 feet down each night? Then how many days? Did you see any patterns while trying to find the two different solutions?
(This problem was inspired by a problem I saw at this brain teaser website:
<http://www.alfy.com/teachers/teach/brain_teasers/index.asp>)
3.) There is a bunch of numbers written in the corners of each square below and a picture in the center of each square. Can you figure out where the numbers came from and what is going on with the pictures? There are two things going on with the numbers in the bottom left-hand corner of each square; can you figure both out?
Maggy Atkins
#1 A door is 5ft tall and 5ft wide across the center. The perimeter of the
door is approx. 15.7 feet. What is the shape of the door?
The door is a circle. When you try the formula for circumference of a
circle, the measurements work: 15.7=5pi.
#2 A telemarketer calls Bob. The telemarketer wants to know how old his
children are. Bob, though annoyed, sees this as a chance to have some fun.
So, he says, "I have three children. The oldest is the some of the other two.
The middle child is the square root of 400. The youngest shares one of his
digits with the oldest. The oldest is in his low 30's and the youngest over
10. Both the youngest and the oldest are prime numbers. Therefore, the
telemarker knows Bob's children are what ages?
Bob's children are 11, 20, and 31. You simply calculate the middle child.
The youngest and the oldest are prime numbers, so look for primes (in the
appropriate ages) that share a digit and add to 20.
#3 This problem was otained from www.expandyourmind.com
Frank leaves home. When he tries to return, a man wearing a mask blocks his
path. He has to turn around and go back to a place where he is safe.
1) What is Frank doing?
2) What is the masked man's occupation?
3) Where is Frank's "safe place"?
This is a lateral thinking problem. And the answers are...
1) Playing baseball
2) A catcher 3) 3rd base
Jen Butler
1. One orange, one apple and two pears cost $0.51. Two pears, two oranges cost $0.42. And one apple, one pear, and two oranges cost $0.44. How much does two apples and two oranges cost?
Answer: $0.47
Question adapted from a problem found at http://www.mensa.org.uk/mensa/puzzles/wk1896a.html
2. Four rulers from four different territories hold a meeting to find out which of their children will get to rule the country that is to be formed when combining their land. They have been asked to bring forth an idea of how to improve this future nation. Read the following clues to discover which prince/princess is the child of which ruler, who has proposed which improvement, and who will be the future ruler.
" Only one king had a daughter, she got the most votes.
" Queen Bee and her son sat close to the ruler who liked the idea of handing out chocolate on Fridays.
" The guy who wanted to plant trees did not have a son, but he did come in first place and his daughter will be the next ruler.
" King Tee who wanted to promote reading, was talking during the evening to the Queen and her son who wanted to discover alternative fuel sources.
" King Zee got more votes than Queen Bee, but she got more votes than Prince Zoom.
" Princess Flower did not agree with her mother's idea of giving chocolate out on Fridays, but chocolate would not be the winner or runner up.
" Prince Zoom and his father's idea for improvement better than Queen Mee's and her daughter's idea. But Queen Mee thought her idea should have not come in fourth and was better than the reading plan.
Answer: Queen Bee, Prince Young, Fuel, 2nd
King Tee, Prince Zoom, Reading, 3rd
King Zee, Princess Honey, Trees, 1st
Queen Mee, Princess Flower, Chocolate, 4th
3. Paula travels to the Land of Truth and Liars and realizes that she can not trust any of the signs that she sees because they could have been created by liars. She decides that there must be some way to tell if a sign is telling the truth or not. She sees three signs and after carefully reading each she is able to decide. Here are the signs she saw, can you tell which ones were created by liars or truth tellers?
" #1 Store in Town (Don't read the next signs they lie)
" Free Coffee or Chocolate on Tuesdays (And we're not lying)
" Law Firm of P & J. Come in for our trusted advice (The past two signs tell the truth and so do we!)
Answer: The last sign has to be lying because the first two are not in agreement and so can not be both telling the truth. Therefore, the first sign was telling the truth when it said the next two lie, and so second one has to be lying.
Michelle Guy
1. If none of the following statements are true, who can we conclude broke the vase?
Mike: Sally broke the vase.
Tom: Mike will tell you who broke the vase.
April: Tom, Mike & I could not have broken the vase.
Chris: I did not break the vase.
Erik: Mike broke the vase, so Tom & April couldn't have
Jim: I broke the vase, so Tom is innocent.
Answer:
Chris. If the statement "I did not break the vase" is definitely false, we can be certain that Chris broke the vase. Statements that some individuals "couldn't have" broken the vase only mean that these individuals could have broken the vase, but do not guarantee that they did. Jim's statement that "Tom is innocent" is too vague. We know that Tom is not innocent, but this does not assure us that he broke the vase.
(http://www.puzz.com/lateral.html)
2. Sally went to her annual family reunion. While she was there, she ran into two of her cousins. If Tim is 7 years older then Sally but is 1/3 of Jen's age, and the sum of their ages is 128. How old is each person?
Answer:
Sally: x
Tim: x+7
Jen: 3x+21
So…x+x+7+3x+21=128
5x+28 = 128
5x=100
x= 20
Sally: 20
Tim: 27
Jen: 81
3. How many stars does the 6th figure have? The nth?
** 1. ** 2. ***
****** *** ***
** ******** ****
** *** **********
*** ****
*** ****
****
****
Answer:
(n+1)(n+2)+n2+n+3+1
n2 +n+2n+2+n2+n+4
For nth: 2n2+4n+6
2(1) +4(1) +6 = 12
2(4) +4(2) +6 = 22
2(9) +4(3) +6 = 36
So…for the 6th:
2(36) +4(6) +6 = 102
Meagan Foss
1. A man buys a fishing pole and goes to get on the bus to go home, but the fishing pole is 5 ft. long and the bus driver won't allow anything over 4 ft. on the bus. So the man goes into the hardware store and buys something and gets on the bus. The fishing pole is in tact. It was not broken or damaged in any way. What did the man buy at the hardware store that allowed him to bring the fishing pole on the bus?
- Using the Pythagorean theorem, we know that one solution is a 3,4,5 triangle. So using this knowledge, you know that the man bought a 3 x4 box that the fishing pole can fit diagonally into. This can go on the bus because it is only 4 ft tall.
- I didn't make this one up. I heard this from my dad and he's not sure where he got it from.
2. Sally visits the land of truth and liars. She meets 3 natives of the land and she asks them what they are, a truth teller or a liar. The first person says that they are all liars. The second person says "Two of us are truth tellers." The third person says that that there are 2 liars. Who is a liar and who is a truth teller.
- The first person has to be a liar because he wouldn't have said this if he was a truth teller.
- The second person has to be a liar because otherwise the last person would have had to agree and he didn't so this person cannot be telling the truth.
- The third person has to be telling the truth because the first two we know lied so there are 2 liars and this one is a truth teller.
3. Sally returns to the land of truth and liars and alternators. She asks them what each of them is, a liar, a truth teller or an alternator. The first person she meets says "I am a truth teller. There are two truth tellers here." The second person says "I am a truth teller. I am the only truth teller here." The third person says " I am an alternator. There are no truth tellers here." What is each person.
- The first person is a liar because other wise someone else would have said that there are two tellers there as well.
- The second person is a truth teller because they are the only truth teller there.
- The third person is an alternator because his first statement is true but then his second statement is false because the second person is a truth teller.
Hope Pillsbury
1. Truth or Liar Problem:
Sally is lost in Burnsville (where truth and liars always reside). She always goes to lunch at Burnsville Pub every summer, but she can't seem to find it this year because of the new bridge that was build. So Sally decides that she should stop and ask for directions when she spots 4 men hanging around the local dollar store. The only problem, she doesn't know which guys are truth tellers and which are liars. Here is their directions:
The first man: "If you go two blocks straight, turn right and then turn left at that corner, it's going to be on your left side."
The second man: "That's not right, when you turn left it's going to be on your left side."
The third man: "That can't be right, the place your describing isn't even in this town. You have to go to the next town over."
The fourth man: "I always get my left and right screwed up, I don't even know what hand I write with. But I do know that it is on the opposite side of the way you turn."
Who is a truth teller and who is a liar?
Answer: 1 and 4 are truth tellers
2 and 3 are liars
Problem 2:
A fireman responds to a fire at a 30 foot apartment building. His ladder is 468 inches. He knows that his ladder is long enough, but being a dork that he is, he wants to know how much extra ladder he has. How much extra ladder does he have?
b) Being a fireman, and a math genius, this fireman understands that he needs extra ladder in order to do a rescue because his ladder must be at a slant. Figuring that there must be a distance of about 11 feet from the beginning of the ladder to the beginning of the building, this fireman decides to find out how much ladder he actually needs in this rescue. How much does he actually need?
Answer to a) there are 12 inches in a foot so 486 inches equals 40 and ˝ foot ladder
b) Pythagorean theorem : a^2 * b^2 = c^2
so 11^2 + 30^2 = 1021 - take the square root of that you get 31. 9531 feet of ladder that the dorkie fireman needs.
Problem 3.
This problem has been revised, but the original problem is taken from this website:
http://www.stfx.ca/special/mathproblems/grade7.html, the name of the home site is Word Problems for Kids
The rent-a-stall horse barn has stalls for up to 1200 horses. 36 percent of the open stalls are for ponies. On Friday, there were 206 ponies and a bunch of quarter horses. The barn was 72 percent full. How many quarter horses were in the stalls?
Answer: 72 % multiplied by 1200 gives you the total of horses that were in the barn.
That answer (864) is then subtracted by the number of ponies that were in the barn (206)
and that will give you how many quarter horses that were in the barn.
The answer is 658 quarter horses.
Melissa Sousa
1.) Five couples plan a joint vacation to the Bahamas so they can enjoy some warmer weather during the middle of the winter. Their vacation will be a week long, but each couple is coming from a different part of the US and flying to the Bahamas separately. To make it a bit more confusing, none of the flights are direct; they all have one stop to refuel along the way. Determine the full name of each couple, where each couple is coming from, and the city at which each flight stops for fuel.
a. The couple from Chicago stopped for fuel in Miami. The Andersons lived in Phoenix.
b. Zachary Silverston didn't live in Newark. Greg didn't stop for fuel in Jacksonville. Heidi didn't live in Phoenix.
c. Ralph, whose wife was not Marjorie, lived in Boston but he didn't stop over in Key West. Tracey didn't live in Portland.
d. Marjorie Swift didn't stop in Fort Lauderdale. Allen's last name wasn't Anderson. Peter wasn't married to Marjorie. Colleen's flight stopped over in Tampa.
e. Mr. Wright stopped for fuel in Key West. Suzanne's last name was not Anderson.
f. Allen and his wife, Tracey, did not have a last name of Manor. Suzanne didn't stop for fuel in Jacksonville. The couple who stopped in Fort Lauderdale did not live in Portland.
Answer # 1: Allen and Tracey Wright living in Newark, stopping in Key West
Greg and Marjorie Swift living in Chicago, stopping in Miami
Peter and Colleen Anderson living in Pheonix, stopping in Tampa
Ralph and Suzanne Manor living in Boston, stopping in Ft. Lauderdale
Zachary and Heidi Silverston living in Portland, stopping in Jacksonville
From http://www.puzzlersparadise.com/onlinelogic/SeekingBahamasSunshine.htm
2.) Write the next two numbers in the sequence and give the rule. Hint: There isn't a specific order, just pick numbers that could work.
52
12
106
39
214
96
Answer: in 52, 106, 214 the digits add up to 7. 12, 39, 96 are all multiples of 3. So the next number could be 61 and the second could be 18.
3.) Beth has three siblings: Tom, Carl and Rachel. The sum of their ages is 28. Tom is the eldest, Beth the youngest. The sum of Rachel and Carl's ages are two less than the age of Tom. Beth and Rachel are six years apart. Two years ago Carl was Beth's age. The sum of Beth and Carl's ages equals the difference between Tom and Rachel's ages. Find the four kids' ages.
Answer: Beth is 2, Tom is 14, Rachel is 8 and Carl is 4!
Lauren Miller
1. Attribute Shapes
These are blocks that are either a triangle, circle, square, rectangle or hexagon, which are either red, yellow or blue, are large or small, and are either thick or thin. They come in a set that consists of 60 blocks. Each block is different.
If it is not Blue, it is thin, if it is blue, it is thick.
If it is not red, it is a circle.
If it is not yellow, it is large, if it is yellow, its small.
If it is a circle, it is yellow, if it is a triangle, it is red, if it is a square, it is blue.
It is not red.
Answer: Small, thin, yellow circle
I got this idea from Maggie Wyckoff, but I wrote this one and it is different from any of hers that I have seen.
2. Fun with Fuses...
Assume that you have a number of long fuses, of which you only know that they burn for exactly one hour after you lighted them at one end. However, you don't know whether they burn with constant speed, so the first half of the fuse can be burnt in only ten minutes while the rest takes the other fifty minutes to burn completely. Also assume that you have a lighter.
The Question: How can you measure exactly three quarters of an hour with these fuses?
Answer: With only two fuses that burn exactly one hour, one can measure three quarters of an hour accurately, by lighting the first fuse at both ends and the other fuse at one end simultaneously. When the first fuse is burnt out after exactly half an hour (!) you know that the second fuse still has exactly half an hour to go before it will be burnt completely, but we won't wait for that. We will now also light the other end of the second fuse. This means that the second fuse will now be burnt completely after another quarter of an hour, which adds up to exactly three quarters of an hour since we started lighting the first fuse!
I got this problem from the internet on a site titled Logic Puzzles. http://www.puzzle.dse.nl/logical/index_us.html#apples_pears
Erin Boley
1. There was once a recluse who never left his home. The only time anyone ever visited him was when his food and supplies were delivered, but they never came inside. Then, one stormy winter night, when an icy gale was blowing, he had a nervous breakdown. He went upstairs, turned off all the lights, and went to bed. Next morning, he had caused the deaths of several hundred people. How?
Source: http://www.whitedovebooks.co.uk/inspiration/problem-solving.htm
2. Joy loves candy. So, for her birthday, she invited five of her girlfriends to her house for a little get-together. Three of the women work with Joy. Each friend brought Joy a different type of candy for her birthday. From the clues below, can you figure out what each lady's full name is and what type of candy each brought to the party?
a. Neither Jenny nor the one surnamed Proctor gave Joy either the JuJu Bees or the Gummy Bears.
b. Sally, Ms. Stevenson, and the woman who brought the Candy Canes (who isn't surnamed Proctor) are the three women that work with Joy.
c. Neither the woman who gave Joy the Chocolate nor the one who gave the Bubble Gum work with her.
d. The Candy Canes weren't from Liza Jackson or Ms. Thompson.
e. Kim, who isn't surnamed Proctor, didn't present Joy with the Gummy Bears, and Pat didn't give the Bubble Gum.
Elizabeth Comeau
Question 1:
Should the letter "I" be in the first or second row?
1st: A H J K
2nd: B C D E F G L M N O P Q R S T U V W X Y Z
Answer:
"I" would be found on the bottom row. The only thing that A, H, J & K have in common is that each one of them has an 'A' sound when pronounced, which is a feature that all of the other letters lack. Source- www.puzz.com
Question 2:
Arthur, Bryant, Charles, and David are an artist, a baker, a carpenter, and a doctor, but not necessarily in that order.
Given these facts, determine what each man's occupation is:
A. More than one of the men's names begin with the same first letter as their occupation.
B. The artist's name does not contain an L.
C. The baker and doctor each have names that share exactly one letter.
Answer:
The artist is Arthur, the baker is David, the carpenter is Charles, and the doctor is Bryant.
Source- www.puzz.com
Question 3:
Dayna is on a trip with her friends at The Six Flags Amusement Park. As Dayna and her friends approach one of the popular rides at the park, the girls meet up with a group three boys. One of the boys overheard Dayna telling her friends that she is afraid to go on the ride. The boys are young, and do not always speak the truth. Two are telling the truth and the other is lying. The oldest boy tells Dayna "I have been on the ride and it is not that bad". The second oldest boy tells Dayna "It was one of the most frightening rides I have ever been on". The youngest tells Dayna "my oldest brother is lying just so that he can go on the ride with you". Is the youngest boy a truth teller or a liar- and what can you figure out about the first two?
Answer: Oldest: Liar Second Oldest: Truth Teller Youngest: Truth Teller
Lindsay Leighton
1. Two cops walked into a room with no windows and found a dead man who obviously hung himself from the ceiling, though they couldn't figure out how. There was no chair beneath him that he might have jumped off of, or a table; just a puddle of water on the floor. How'd he do it?
He stood on a block of ice.
(My fifth grade teacher had a bunch of problems like these that he'd read to us for fun from a book… I have no idea what the book was, but I was able to Google what I remembered of the problem and found it again on a chat board.)
2. Sally is vacationing in the land of Truth Tellers, Liars and Alternators. While taking a walk one day, she stops to rest on a bench and overhears a conversation among three locals. The first one says, "It's going to rain today. You should have brought your umbrella."
The second one says, "You liar. Bob, here (he points to the third guy as he says this), and I watched the weather report. It's not going to rain today."
Not wanting to get caught in the rain, Sally asks the third, Bob, which of the two she should believe.
Bob responds, "Listen to me, for I am a truth-teller. We did watch the weather this morning. It's not going to rain today. There isn't a cloud in the sky"
Sally, looking at the sky and not seeing a cloud around, believes Bob and goes on with her walk. After a few minutes, the clouds suddenly move in and it starts to pour. Which clan was each local from?
The third one is an alternator, the sky was clear at the time, it was going to rain, he and the 2nd one did watch the weather, and he isn't a truth teller.
The 2nd one is also an alternator. It is going to rain today, they did watch the weather, and the first one isn't a liar.
The first one is a truth teller.
Jessica Heath
Question 1: Bob is on the island of truth tellers, liars and alternators. He walks into a room to play video games with 3 strangers. There is one person from each clan present and he doesn't know which is from which. Bob want to be the first player so he asks them which of the four controllers (all different colors) is the first player controller. All 3 people in the room do know which controller is which.
Their resposnes were as follows:
#1: The gray controller is the 1st controller.
#2: He is an alternator, be careful with what he says. The third guy is a liar, don't listen to him. You can trust me, I always speak truth! The purple controller is in fact the first one.
#3 The 2nd guy is a liar! The 1st guy is the alternator of us three!
Name which clan each came from and which controller is the first one.
Answer: #1= Truth #2=Liar #3= alternator
How: If the third guy claimed the second one to be a liar and then went on to say that the second guy is stating a true fact then you know that the third guy is not a truth teller. You can also deduce that the third is not a liar because a liar would not contradict himself and purposely make himself out to be a liar by calling one man a liar and then agreeing with the person of whom he jsut called a liar. So the third guy is an alternator.
So now you know the second is is not an alternator, and you know he does nto speak the truth because he claims the third guy is a liar. So the only assumption you can make is that the second guy is a liar and the first guy is very obviously now the truth teller. And if he is the truth teller then the gray controller is the first controller.
Question #2: Lateral thinking
You are in a room with 6 people:
John has blue eyes, brown hair and is 5ft6
Mandy has brown eyes, brown hair and is 6ft5
John has blue eyes, brown hair and is 5ft6
Melany has brown eyes, brown hair and is 6ft5
John has blue eyes, brown hair and is 5ft6
Melissa has brown eyes, brown hair and is 6ft5
Name the first initial, eye color and height of the other person in the room.
Answer: the other person is you, write what fits you.
Question 3:
how many triangles are in the picture?
There are 95!
There are 40 triangles that use just the first star and pentagon. So that number can be doubled since you will have the same number of triangles in the inner star and pentagon combo. However the inner star and pentagon lack 15 triangles that the outer star and pentagon have because the outer star/pentagon combo also has theinner star to work with. So ontop of the 80 that we had before we add 15.
Justin Kangas
#1
Dorothy and Toto visit the land of Truth and Liars and will do anything to get back home to Aunty Em in Kansas. She comes to a group of four locals (each is a truth teller or a liar). In front of the group there is a table with a chocolate piece of pie and a vanilla piece of pie on it. Above the table, there is a sign that says: One of these will take you back to Kansas, and one will keep you here forever. Pick one to eat. Dorothy does not know which one to eat so she asks the locals, "Which pie should I eat to get to Kansas?" Each give her an answer:
Local 1: "You should eat the vanilla piece. I am a truth teller!"
Local 2: "No, he is a liar! Eat the chocolate piece!"
Local 3: "Number 1 and number 4 are both liars! Don't listen to either of them! Eat the chocolate piece like number 2 said!"
Local 4: "There are exactly two liars and exactly two truth tellers in our group! Eat the vanilla piece!"
Which piece of pie should Dorothy eat to get back to Kansas and which of the four are truth tellers and which are liars?
Solution:
Guess and check:
-Assume number one is a liar. That means she shouldn't eat the vanilla piece and he is not a truth teller. That would make number 2's statement true. She should eat the vanilla piece. That also means that number 3's statement is true and means number four is a liar. (That means there are 2 liars and 2 truth tellers). If #4 is a liar, number 4's statement is false. So there can't be two of each. There is a contradiction, so this situation does not work! (can't happen)
-Assume number one is a truth teller. That means she should eat the vanilla piece. If 1's statement is true, #2 must be a liar. Also, if #1 is a truth teller, number 3 must be a liar. That means number four has to be a truth teller. (2 of each) This situation solves the problem: #1' TT
#2' Liar
#3' Liar
#4' TT
-Dorothy should eat the vanilla piece of pie!
#2
Max the dog has a 25 ft running line that is connected to the corner of the house (20 ft X 15 ft rectangle) and connected to the corner of a shed in the yard (5 X 5' square) . If you assume the line is on the ground and Max's leash is 8 ft. long, how much area does Max have to roam? Given Picture:
#3 Logic- Taken from crpuzzles.com
Day Care Reminders
by Randall L. Whipkey
When the four children in Mrs. Minder's day care arrived this morning, each parent informed Mrs. Minder that his or her child has something different happening today; one child needs a dose of medicine at 10:00 a.m. Because she likes Logic Puzzles, Mrs. Minder wrote reminders to herself in the form of the clues below. Can you solve her notes and thus her Logic Problem of each child's full name and his or her particular requirement for today?
1. Katie arrived first this morning, followed by the Albright boy. The child who needs a change of clothing just before being picked up and the one who can't go outside to play today were the last two to arrive.
2. The Zimmerman child, who isn't Kristin, isn't the one who will be picked up early, at noon.
3. The McCord child isn't the one who is restricted to indoor play for the day.
4. Justin isn't the child who will be picked up at noon.
5. Kristin isn't the Rock child.
6. Josh, who isn't the Zimmerman child, will be picked up at his regular time.
Solution:
The four children Mrs. Minder has in her charge are listed in clue 1: Katie, the Albright boy, the one who needs a change of clothing, and the child who can't go outside to play. Kristin isn't the Albright boy, nor is she the Zimmerman (2) or Rock (5) child; her last name is McCord. She then isn't the child who can't go outside to play (3) and must be the one who needs a change of clothing. Neither Justin (4) nor Josh (6) is the child who is going to be picked up at noon, so in clue 1, Katie must be. The Albright boy needs his medicine at 10:00 a.m. Katie's surname is Rock (2), and the Zimmerman child can't go outside today. He is Justin (6), and Josh's last name is Albright. The four children and the reminders about them are
" Josh Albright, needs medicine at 10:00 a.m.
" Kristin McCord, needs a change of clothing
" Katie Rock, will be picked up at noon
" Justin Zimmerman, can't go outside to play
Melissa Goodwin
1. There are 12 different papers all of which accidentally got dropped and now they are all over the floor. On four of the papers are women's names: Emily, Carrie, Meg and Ali. One another four are the names of dogs, all of which are owned by the four girls, Kyle, Zorro, Dingo and Kieko. On the last four pieces of paper are the occupations of each dog owner which include: nurse, doctor, psychologist, and ski bum. Match each person with their dog and occupation if:
- Emily and Zorro's owner often see each other at work in the hospital.
- Kieko's owner often sees Meg for metal help.
- Emily doesn't own Kyle
- All owners and their dogs have at least one letter in the names in common except these two.
- Emily often sees Kieko's owner for broken bones due to skiing accidents.
- Dingo and his owner's occupation begin with the same letter.
ANSWER:
Ali-nurse-Zorro
Emily-doctor-Dingo
Meg- psychologist- Kyle
Carrie- ski bum- Kieko
2. How many X's are in the 50th figure? How many are in the nth figure?
Figure 1.
X
XXX
Figure 2.
X
XXX
X
XXXXX
XXX
Figure 3.
X
XXX
X
XXXXX
XXX
XXXXXXX
XXXX
XXXXXXXXXX
ANSWER:
50TH FIGURE-125,101
Nth FIGURE-N3 + 2(n) + 1
3. Mr. Green, Mr. Red, and Mr. Blue were at the "Soul- Ace Hotel" having a drink. One man was wearing a red suit; one a green suit and the other a blue suit. "Have you noticed," said the man in the blue suit, "that although our suits have colors corresponding to our names, not one of us is wearing a suit that matches our own names?" Mr. Red looked at the other two and said, "You're absolutely correct." What color suit is each man wearing?
ANSWER:
Since none of then men are wearing the color of suit that corresponds to their names and Mr. Red was replying to the man in the blue suit, it had to be Mr. Green to whom he replied. We then know that Mr. Green is wearing a blue suit. Therefore, Mr. Red is wearing a green suit and Mr. Blue is wearing a red suit.
This problem was found on a game card in the game MINDTRAP, by Pressman Toy Corp.
Alecia Pike
1) Arthur, Betty, Casey, and Drake are dinosaurs. One of the dinosaurs is a
carnivore, two are herbivores, and the last is an omnivore (they''ll eat
anything). One is a brontosaurus, one is a pterodactyl, one is a triceratops,
and the last is a tyrannosaurus rex.
- Drake and the triceratops enjoyed a tasty dinner together of veggie burgers
and salads.
- Everyone knows T-rex''s will only eat meat, but Arthur doesn''t only eat meat.
- Casey and the triceratops were suppose to go on a date but the couldn''t agree
on the restaurant. Casey wanted to go to a steakhouse called, ""……And A Side of
Beef!"" and the triceratops wanted to go to a place called, ""The Veggie Table.""
Neither wanted to go to the others choice.
- Nobody''s name starts with the same letter as his or her species.
- Casey is a boy dinosaur and heterosexual
- Arthur tries to split his dinner engagements equally between his two good
friends, Casey and the brontosaurus
ANSWER: Arthur is an omnivore and a pterodactyl. Betty is an herbivore
triceratops. Casey is a carnivore Tyrannosaurus Rex. Drake is an herbivore
brontosaurus.
2) To get to Half Island there is a ferry, The Singing Banshee, which makes the
half hour trip across 20 times a day. From the mainland you can catch the ferry
on the hour from 7 am to 4pm Monday through Friday and 9 am to 6 pm on the
weekend. To return from the island the schedule is 7:30 - 4:30 on weekdays and
9:30 - 6:30 to on Saturday and Sunday. Suppose you got on the ferry at 11 am on
Friday morning and stayed on until the end of the day Saturday. How many
ferries would you pass over the course of your journey.
ANSWER: None, the Singing Banshee is the only ferry to make the trip. ""To get to
Half Island there is a ferry, The Singing Banshee……""
3) Exactly how many minutes is it before eight o'clock, if 40 minutes ago, it
was three times as many minutes past four o'clock?
ANSWER: 50 minutes (from brainbashers.com, ref #ZOIC)
Kyle Hackett
1) Carrie, Meg, Phil, and Justin go to the movies for a double date. But they all want to watch different movies of different genres; comedy, action/adventure, horror, and drama. Before they go into their movies, each one gets their favorite movie snack; nachos, popcorn, raisenets, and skittles.
" The horror watcher and Phil have been dating for over a month.
" The popcorn lover and action-adventure watcher have been dating since they met each other in North Carolina.
" Carrie and the raisenet lover are best friends.
" The skittles lover and action/adventure watcher go to the bathroom together before the shows start.
" The comedy watcher and Justin are a perfect date because they both like salty treats.
" Only one person had the same first initial as her movie genre; none had the same first initial as his/her movie snack.
Who saw what movie? Who ate what movie snack? And who is dating who?
2) Allen visits the Land of Truth, Lies, and Alternates local restaurant. He sits down at the counter bar next to three residents of the town. The restaurant claims to have the "World's Best Apple Pie" but he only has enough money to buy one item off the menu. He asked the first resident if the apple pie was worth it.
The resident said, "I'm a liar and the pie is disgusting."
The second resident interrupts and says, "The pie IS gross! And I'm a truth-teller."
The third one quickly speaks up and says, "He's wrong! I'm a truth-teller and the pie is definitely
worth it."
After hearing all their opinions, Allen debates whether to spend his money on the apple pie or not. Should he buy a piece of the "World's Best Apple Pie?"
3) A farmer has 9 horses. For some reason known only to him, he wishes to build exactly 4 corrals in each one. The corrals can be any shape. Sketch how he would place the horses (remember - zero is not an odd number).
Murphy, Dean. Take Off Their Blinders in the Math Classroom. NELMS Conference. Rhode Island
Convention Center, Providence. 28 Mar. 2004.
Answers
1) Carrie and Justin are dating.
Carrie is the comedy watcher and the popcorn lover.
Justin is the action/adventure watcher and the nachos lover.
Meg and Phil are dating.
Meg is the horror watcher and the raisenets lover.
Phil is the drama watcher and the skittles lover.
2) The third resident is a truth teller.
The second resident is a liar.
The first resident is an alternator.
3) Put the horses in odd numbers into three different pens. Then put a pen around at least one of the pens or around all three pens.
Carrie Libby
Problem: Why is it better to have round manhole covers than square ones?
Answer: Round covers cannot be dropped or fall down a manhole, unlike squares ones.
***************************************************************************
Adam, Sue, Mark, Melissa, and John are sitting around a table making Easter eggs. Each person will use only one color to dip their egg in.
" Mark didn't want to use red
" John likes yellow and blue
" None of the combinations of names and colors make a word
" Adam has an obsession with John Deere. He has a hard time choosing between the two colors
" Both girls like primary colors
" Te first letters of the people and colors are not next to the other in the alphabet
" John does not like yellow or blue
Adam - Yellow
Sue - Blue
Mark - Purple
Melissa - Red
John - Green
***************************************************************************
George and Sue is a newly married couple. They are looking for apartments. They have narrowed the search to three. Apartment #1 costs $575 a month but does not include electricity or cable. Apartment #2 costs $600 a month but does not include internet or cable. Apartment #3 costs $625 a month and includes everything. They have figured out their average electricity bill to be $45.00 a month. Cable will cost $12.00 and internet will cost $10.00. It probably seems like an easy decision but Sue's car broke down and they decided that instead of buying a car they will try using just one vehicle. George will drive Sue to work and take the truck back to his work. After George gets out of work he will go, pick up Sue and head back home. Apartment #1 is 30 miles from the school that Sue works at. George's place of employment is exactly half way between the apartment and Sue's work. Apartment #2 is 20 miles from Sue's work and 15 miles from George's work. Apartment #3 is 5 miles from Sue's work and only 3 miles from George's work. George drives a truck that gets 15 miles per gallon. Assuming that the average price of gas is $2.01 what apartment should they sign a lease for?
Answer: Apartment #3
Apt #1 = $644.06 Apt #2 = 628.70 Apt #3 = $626.88
http://pages.eidosnet.co.uk/johnnymoped/funcorner/funcornerlateralthinkingproblems/funcorner_lateralthinkingproblems_introduction.html
Crystal Young
1.) A census worker knocked on a door in a residential community and a lady came to the door. He asked the lady how many children she had and she said that she had three. When he asked for their ages she wouldn't tell him. He told her that it was important that he know the ages of the children so she agreed to give him some clues.
First Clue: If you multiply their three ages together the product is 36.
The census worker thought for a moment and said that he needed another clue.
Second Clue: The sum of their ages is the same as the number on the house next door.
He looked at the number of the house next door and decided he needed another clue.
Third Clue: The oldest plays the piano.
The census worker smiled and thanked her. He now knew the children's ages. How did he know?
2.) Complete the sequence below.
8, 5, 4, 9, 1, __, __
3.) Mike wants to buy a car. The first car he looks at costs $6,900 dollars, gets 20 mpg, and uses regular unleaded gas. It uses standard oil that should be changed every 3000 miles. The second car he looks at costs $7,800 dollars gets 25 mpg, and uses super unleaded gas. This car uses synthetic oil that should be changed every 9000 miles.
Assumptions:
Mike drives 12000 miles per year.
Super Unleaded costs 20 cents more per gallon than Regular Unleaded.
Regular Unleaded sells for $2.10 per gallon.
Synthetic Oil Changes cost $30.00 more than Standard Oil Changes.
A Standard Oil Change costs $19.00.
The prices for gas and oil changes never change (wouldn't it be nice?!)
When Mike buys the car, it will have just had an oil change and will have a full tank of gas.
Mike is a lawbreaker and doesn't insure or register his vehicle. (Think of the money he'll save.)
Which vehicle will cost Mike less over the course of six years? How much would each vehicle cost him? Where does Mike get his oil changed?
Part Two: If Mike decided to use Regular Unleaded in Car 2 instead of Super Unleaded, assuming that the change in fuel would reduce its mpg from 25 to 22 mpg, how much would the fuel now cost him for car 2? How does that compare to Car 1 now? Should Mike stick with Super Unleaded?
1.) First Clue: To solve this problem the first thing to do is list out all of the possible combinations that could be used to get a product of 36
1-1-36 2-2-9 3-3-4
1-2-18 2-3-6
1-3-12
1-4-9
1-6-6
There are too many choices to know their ages.
Second Clue: The sum of their ages has to be the same as the number on the house next door. He still doesn't know after this clue so you know that there is more than one combination that has a sum equal to the number of the house next door.
1+1+36= 38 2+2+9= 13 3+3+4= 10
1+2+18= 21 2+3+6= 11
1+3+12= 16
1+4+9 = 14
1+6+6 = 13
Third Clue: The oldest plays the piano. So there has to be an oldest child ruling out the combination of 1-6-6 and leaving the combination of 2-2-9.
2.) The complete sequence would be:
8, 5, 4, 9, 1, 7, 6
The numbers are listed in alphabetical order. After six would come three and then two.
3.) The first car would require 24 oil changes ($456.00) and 3600 gallons of fuel ($7,560.00). The second car would require 8 oil changes ($392.00) and 2880 gallons of fuel ($6,624.00)
Car 1 Car 2
Initial Cost- $6,900.00 Initial Cost- $7,800.00
Oil Costs- $ 456.00 Oil Costs- $ 392.00
Fuel Costs- $7,560.00 Fuel Costs- $6,624.00
TOTAL- $14,916.00 TOTAL- $14,816.00
Although more expensive to begin with, and although it uses more expensive fuel and it's oil changes are more expensive at first glance, the second car was actually less expensive in the end. What will Mike buy with his $100.00? For part two, the change in fuel would result in a cost of 6872.72 for car two. So super unleaded would save Mike money, but car two still costs less for fuel than car 1. Oh the difference of 2 mpg.
Chris Blanche
Problem #1
Erin travels to the land of truth and liars. While at the pub, she meets three locals. She asks how many of them are truth tellers. "None of us are truth tellers" says the first. "All of us are truth tellers" says the second. The third takes a long draw off his beer, slams it down and shouts "They are both liars!"
Which of the three are liars, and which are truth tellers?
Answer: First-liar
Second-liar
Third- truth teller
Problem #2
Nichol, Thad, Alex, Matt, and George all meet at the Grainary. Two order Guinness, one orders Billy Goat Pale Ale, one orders Let Me Out Stout, and the other orders a Powder Keg Porter. Two are canoe guides, one is a hairdresser, one a bagpiper, and one a ski bum.
" Alex and Nichol are brothers
" Thad does not like dark beers
" Matt and Thad met last year at the Highland Games
" Alex is deciding between ordering a Rocky Raccoon Honey Lager or a Guinness
" Matt and Alex play guitars together after skiing every Tuesday
" Nichol is Irish, but does not play the bagpipes
" Nichol, Alex, and Thad all talk about paddling the St. John next spring
" George compliments the bartender on his hair
" Thad's favorite movie is Bravehart
Prpblem #3
Potatoes are 99% water and one percent what? Potato. So say you take 100 pounds of potatoes and set them out on the back porch to dry out. As they dry out water evaporates from them. After awhile enough water evaporates so that the potatoes are now 98% water. If you were to weigh the potatoes at that moment, how much would they weigh?
Answer: 50 pounds.
1 percent of a 100, which is what a potato is, is one pound, or 1%. So 2%, when it is 98% water, is still going to equal that one pound, and 2% of 50 pounds is a pound. So that potato weight is now 50 pounds, not 100.
From Click and Clack
Cartalk.com
Puzzler#9625, week of 6/22
Alex Ernst
1) Question: A guy walks into a bar and he orders a glass of water. The bartender then pulls out a gun. The guy who ordered the water says thank you and leaves the bar. Why did the guy say thank you to the bartender?
Answer: The guy said thank you because the bartender cured his hiccups.
Jen Hubert and Sara Weaver told this problem to me.
2) Question: John and Amy just bought a new house together and have decided to redecorate. The new house has 4 rooms in it. When Amy owned her own house it took her 5 hours to paint 5 rooms. When John owned his own house it took him 6 hours to paint 5 rooms. How many hours will it take them together to paint the 4 new rooms?
Answer: Amy takes an average of 1 hour to paint 1 room.
John takes an average of 1.2 hours to paint 1 room.
1 room/1 hour 1 room/1.2 hours
1 1 min. 1 1 min.
60 50
1 t + 1 t = 1
60 50
t( 1 + 1) = 1
( 60 50)
Now find the LCM = Which is 300
t( 5 + 6 ) = 1
(300 300)
300 x 11t = 1 x 300 = 27.27 = 27 mins. 16 sec.
11 300 11
We now know that to paint 1 room together takes them 27 mins. 16 secs.
To find out how long it takes to paint the 4 rooms simply multiply 27 mins. 16 secs. by 4.
4(27 mins. 16 secs.) = 1 room
108 mins. 64 secs.
109 mins. 4 secs.
=It takes 1 hour 49 mins. 4 secs. to paint all 4 of the rooms together.
This problem was molded from the 1st homework called Possibly Familiar Problems. It was problem #5 that I used. I had some help on this problem from Jen Hubert.
3) Question: The Campbell's soup company has asked if you can figure out how much chicken noodle soup will fit into a can that is 15 inches in height and has a diameter of 6 inches. They would also like to know how much tin they would need to make each new can (assuming that both the top and bottom are closed).
Answer: We need to find both the volume and the surface area of the can.
SA = 2Pi r squared + 2Pi r h
2Pi 9 + 2Pi (3)(15) =
56.55 + 282.74 = 339.29 inches squared of tin
V = Bh
First find the base which is A=Pi r squared
A=Pi 3 squared
=Pi (9)=28.27 inches squared
V = (28.27)(15) = 424.05 cubic inches of soup
This problem was based on the Geometry problems that you have given on the worksheets and information from my Geometry class.
Kimberly Eastman
1) Train A leaves Apple Town at 6a.m. traveling at 80mph. At the same time Train B leaves Beach Town heading towards Apple Town traveling at a speed of 85mph. The distance between both towns is 500 miles. Train A passes a mystery train after 3 and half hours. Is it possible that the mystery train is Train B? Explain?
Answer:
No it cannot be Train B because Train A and Train B had to meet after 2.11 hours.
80(4) =320 miles d r t
180=85(t) t=2.11 320 80 4
180 85 2.11
2) Bob spends $81.25 on a book at the bookstore. He knows he saved 35% off the original price. Assuming there is no tax, how much was the original price?
Answer:
#125
81.25 = 65
X 100 x=125
3) Jan recently received a loan for 100,000. (She wants to use the loan to by land, materials to build the house, labor, and use the rest to pay off her interest.) She spends half on labor. Half of what is left is spent on land. $16,666.67 is spent on materials. Luckily, after all the math, she realizes she has some money left over. However, she remembers that she wanted to pay off her flat rated interest, which is 1/12 of her entire loan. Does she have enough money left to pay for the entire interest rate?
Answer: Yes
100,000=50,000(labor)+25,000(land)+16,666.67(materials)+X(leftovers)
x=$8333.33
100,000(1/12)=8,333.33
Megan Michie
1. There are four eggs in a basket. If exactly four people come by and take one egg, how is it that there is one egg left in the basket?
Answer: The last person took the basket with the egg in it.
*UNCW
2. What is the rule and what are some examples for each side?
26 / 47
134 / 2
62 / 54
8 / 97
71 / 33
Answer: left side- digits add up to 8
right side- digits that do not add up to 8
3. How many plus signs should be put between 987654321 to get a total of 99?
Answer: 9+8+7+6+5+43+21
*World Problems for Kids
Randilee Bishop