Planning Out Your Floor

Charlie is helping his family design a sun porch for their house. It will be in the shape of a trapezoid (ABCD), allowing for large windows on several sides. Charlie has labeled the four corners A, B, C, and D. He wants to find out how many 12-inch-square floor tiles he should order if 2 dozen extra tiles are needed for replacements or cutting errors. The tiles come in boxes of 12 tiles per box.

Following is information about the dimensions of the sun porch.

Line BC is 20 feet long and runs along the living room.
Line AB is 8 feet long and is perpendicular to line BC.
Line CD is parallel to line AB but is twice as long as line AB.
Line AD represents the longest wall with the most windows.
Line AE is an imaginary line parallel to line BC.
Point E is on line CD. It is the midpoint of line CD.

How many boxes of floor tiles should Charlie order?

Bert Goes to a Party

You are at a logic master's party.  The host has decided to play a game.  He takes 8 stamps, 4 red and 4 green and announces the rules.  He will affix two stamps to each party goers head and then he will place the remaining two in his pocket.  You, Bert, and two others, Al and Casey, can see the other stamps, but don't know your own stamps and cannot see the stamps in the host's pocket.

The host then asks each of you in turn if you know the colors of your own stamps:
A: "No."
B: "No."
C: "No."
A: "No."
B: "Yes."

What color stamps do you have?

Basketball Seating

I found this on the SSQQ page.  It's a great site with over 40 logic puzzles.

At a recent High School basketball game, the incoming freshmen were expected to sit together in one particular section of the bleachers where the teachers could keep an eye on them. Accordingly each of the 20 members of the class was assigned a specific seat in a special area over in the lower corner of the stands. The Freshman seating section consisted of 4 rows, 5 students to a row.

Seats 101 through 105 formed the front row, with 201 through 205 directly behind the first row, 301 through 305 the third row, and 401 through 405 on the fourth row.

From the following clues, can you give the students’ full names and list the exact the seat number where each child sat?

1. The Jefferson child and the Richter child were watching their first-ever basketball game.
2. There were exactly ten boys and ten girls.
3. The first and last names of one student who sat in the front row began with the same letter.
4. Patricia and the Clinton girl sat as far apart as possible; the same was true of the Carter boy and Alice.
5. The Davidson girl sat directly (but not necessarily immediately) behind Theo, who sat immediately behind the Lewis girl.
6. The following four students were in the same row: the Anderson girl, the Bixby boy, Theo, and Janet.
7. Carlton sat immediately behind the Walters girl.
8. Nick and the Langdon girl sat at opposite ends of one row; Patricia and the Forrester girl sat at opposite ends of another row.
9. The Olson boy sat immediately in front of Gerald and immediately behind the Eaton girl, who sat immediately behind William.
10. A boy sat in Seat 403.
11. Beverly sat between two boys; Bailey sat between two girls.
12. The Carter boy sat directly (but not necessarily immediately) in front of the Howland boy, who sat immediately in front of Patricia.
13. Lawrence, Marilyn, Sandy, and the Morrison boy were all in the same row.
14. Diana had wanted to sit with her boyfriend Dave, but was disappointed to find her assigned seat was two rows behind his.
15. Lawrence was not in Seat 105.
16. Louisa Langdon sat two seats directly behind Marilyn.
17. The Sullivan boy and the Tillman girl sat in the same row, which was two rows behind the Ives girl's.
18. Ralph was in Seat 103.
19. Janet sat immediately in front of a boy.
20. Victoria was not in Seat 205.
21. The Ponder boy sat immediately behind Theo.
22. Franklin was not the Olson boy
23. Carlton's last name is not Ashton.
24. The Ashton boy sat two seats directly behind Karolyn.

Very Large and Very Small

Three oversized men were standing under a very tiny umbrella (think comic sized men and umbrella).  But none of the men got wet.  How is that possible?

Living in an Elevator

A lift is on the ground floor. There are 4 people in the lift including me. When the lift reaches 1st floor, 1 person gets out 3 people get in. The lift goes up to the second floor, 2 people get out 6 people get in. It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift.

How did I survive?

Babysitting for Cash

Five young people have been babysitting to earn extra money. Each one is saving for something special. Using the clues given, figure out how much each makes per hour, how much each has earned so far, and what each is saving to buy. 1. Dylan has made the most, although he makes the least per hour. 2. Carson has worked 19 hours, 23 fewer than Wills. 3. Gray makes $4.75 and has worked 35 hours so far. She's saving for the bicycle. 4. The person saving for a computer (not Amelia or Ellis) earns $5.25 per hour and has earned $99.75 so far. 5. The one saving for the clothes is neither Elvin nor Jones. 6. Sands has worked 66 hours so far. 7. The person saving for college has worked 38 hours so far; the one saving for clothes has worked 42. Names: Amelia, Bobby, Carson, Dylan, Elvin, Last Names: Wills, Sands, Jones, Ellis, Gray Money Earned (so far): $264, $166.25, $99.75, $189, $190 $ per Hour: $4, $4.50, $4.75, $5, $5.25 Saving for: trip, bicycle, computer, college, clothes.

100 Floors to a Building

There is a building with 100 floors. You have two identical balls. You know that there is a floor n, such that if you drop one of the balls you have from this floor it does not break, but if you drop it from any higher floor it breaks. If one ball breaks, you can use another one. What is the minimum amount of drops (trials) you have to make at different floors to be sure to find the floor n?

Hanging Paintings

A painting has a rope that goes around in a loop. You can hang the painting on one nail. If you pull the nail out, the painting will fall. Can you hang the painting on two nails, so that if you pull ANY nail, the painting falls down? How about three nails?

Summer Jobs

Five young people are working over the summer.  Each one is working hard towards their own goal.  Using the clues, find out how many each makes per hour, how much each has earned and what their goal is.  Keep in mind they have a last name and surname.

1. Dylan has earned the most so far, even though he earns the least per hour.
2. Carson has worked 19 hours, 23 less than Wills.
3. Gray makes $4.75 and has worked 35 hours so far.  She's saving for a bicycle.
4. The person saving for a computer (not Amelia or Ellis) earns $5.25 per hour and has earned $99.75 so far.
5. The one saving for clothes is neither Elvin nor Jones.
6. Sands has worked 66 hours so far.
7. The person saving for college has worked 38 hours so far; the one saving for clothes has worked 42 hours.

First name: Amelia, Bobby, Carson, Dylan, Elvin
Last names: Ellis, Gray, Jones, Sands, Wills
Earn per hour: $4.00, $4.50, $4.75, $5.00, $5.25
Earnings: $99.75, $166.25, $189.00, $190.00, $190.00
Goals: bicycle, clothes, college, computer, trip

This puzzle was taken from Kurt Smith's logic book.

One Coin Only

There are three clay containers. One of them has only pennies from the year 2005 in it, one has only pennies from the year 1975 in it, and the third has an equal number of each. They are labeled "2005," "1975" and "mixed," however, you know that the labels have been switched, so that each container is marked incorrectly. Can you properly label the containers without looking in them, and only pulling one coin out from one container?

Shopping Logic

A group of friends met up at the mall and started comparing purchases they had made.  They had each gone to a different store and bought a different item.  The four friends were Peter, Camille, Michael, and Shawna.  They had bought their items at the Buy Now, Home for the Holidays, Fearless, and Shop-a-Lot.  They bought a shop vac, iTouch, GPS, and a Notebook.

1. The Notebook was not sold at Fearless,.
2. Neither Peter nor Michael bought at Shop-a-Lot or Buy Now.
3. Camille didn't buy a GPS or a Notebook.
4. Either Peter or Camille bought the shop vac at Home for the Holidays.
5. The iTouch was not bought at Shop-a-Lot.

Camping Spaces

Four couples decided to go camping to the state forest one weekend. Each couple traveled in a different van and each chose a separate camping spot. The camping sites were all labeled with a space number and while they were in the same area, the sites were not touching.

Determine the full name of each couple, the color of their van, and the number of their camping space.

1. Bill, who is not married to Laura, didn't drive a black van.
2. Chuck and his wife Brenda were not camped in space #35.  Brenda's last name is not Forrest.
3. The Lewis couple, who drove a tan van, camped in space #31.
4. Tom camped in a space numbered lower than the one Cindy camped in but higher than the couple who drove in the red van did.
5. Tom isn't married to Mary Tread. Steve Branch didn't drive a blue van.
6. The couple driving the black van camped in space #43.

Husband Names: Bill, Chuck, Tom and Steve.
Wife Names: Laura, Brenda, Cindy, Mary
Last Names: Forrest, Lewis, Tread, Branch
Van Colors: black, tan, red, blue
Spaces: #35, 31, 43, and 29.

Puzzles for Friends

Four friends met for lunch at the local diner. They each ordered a sandwich, one side, and one dessert. Each one ordered something different. Who ordered what?

1. Peter Wish didn't have french fries with his sandwich, which was not roast beef.
2. The man who had the rice pilaf also had chocolate cake.
3. Mr. Tummel, whose first name is not Tim, didn't order the garden salad or the apple pie.
4. Walter didn't order a tuna sandwich or baked potato.
5. Sam thought the hot fudge sundae looked a lot better than his dessert, but he agreed that his side dish was better than Tim's salad.
6. Mr Summer and Peter didn't order a dessert with ice cream.
7. Sam didn't order the baked potato, but he did get the turkey sandwich.
8. The man who got vanilla ice cream, and it wasn't Walter, ordered fries with his sandwich.
9. Mr Wayvern, whose first name wasn't Walter, ordered a ham sandwich but didn't order apple pie.

First Names: Peter, Sam, Tim, and Walter.
Last Names: Summer, Tummel, Wayvern and Wish.
Sandwich: Ham, roast beef, tuna and turkey.
Side dish: Baked potato, french fries, garden salad, and rice pilaf.
Dessert: Apple pie, chocolate cake, hot fudge sundae, and vanilla ice cream.

Monopoly Madness

On a recent Saturday evening in Winchester, the Hastons invited the Pleachers and three other couples over for a barbecue and a round of Monopoly. After dinner, the board was set up, and all five couples voted to play as teams.

When all the property was bought and all the trading finished, each team owned two complete blocks of property with not a single odd property left over. (The railroads and the utilities are each considered a block of property).

• George, who is not Mr. Muller, threw four 10's in a row and paid Ann Dunn each time. 
• Art, his wife, and the Lowes owned the only properties on which you cannot build hotels. 
• Bob is not Mr. Haston, and Sue is not Mrs. Pleacher. 
• Peg and her husband - who owned the utilities -- and the Dunns owned the only street properties whose name does not include "Avenue" or "Place." 
• Bev and her husband owned both properties with "Saint" in their names. 
• Tom and his wife owned only four pieces of property, but won the game because they owned the most expensive hotels. 
• The Hastons placed second because they owned most of one side of the board; third place went to Ben and his wife; fourth to Art and his wife; and the losers were the Pleachers. 
• Ben and his wife owned five pieces of property. 
• Dot and her spouse owned the block of three properties immediately following Ben's block of two. 
• Dot and her spouse also owned the block directly across from their block of three.

From the clues given, can you name the couples, name the blocks of property each owned, and rank them in order from winner to loser?

Logical Dating

Steve, Carlos, Jean and Rose want to take seats in a cinema. There is only 1 aisle seat and the rest are in a line next to it. If Rose want to sit in the aisle seat, Jean wants to sit next to Steve, and Carlos doesn't want to sit next to Jean, how will they sit (starting at the aisle)?

Alien Logic Puzzle

Five aliens, each from different planets, were all, coincidently, testing prototypes of UFO; they were all seen by different people from the Earth.

 Which alien tested which UFO, what planet were they from and who was the earthling that saw them?

1. Sidney, who was beyond scared when he saw a UFO piloted by Targon, who happened to stare out of his UFO window at that moment, did not see the alien from the Planet Outer Zog.
2. Zeebo piloted one of the Alpha UFO's, but George, who didn't spot the Bounty 1 UFO, which was piloted by Wildo or Truffid, didn't see this. The Dweeb or Wildo piloted the other Alpha.
3. The planet with the strangely familiar name of The Inner Ear was the home for the Bounty 1 UFO, which wasn't seen by Wesley
4. Burt, who chose to think that he had been watching too much Star Trek on TV, spotted the alien from Loftland.
5. The planet Dorkonia, inhabited mainly by Dorks, is home to Wildo, who was not spotted tracing across the sky in Alpha Y or Rentaship and not by Jeremy or George. Toola was not the planet home to the UFO Zelphod.
6. The home planet to Alpha Y comes alphabetically before the home planet to Alpha X.

The Wheels on the Bus Go Round and Round

Each of the five students left on the bus live on the street where he or she leaves the bus.  When does each student get off the bus and where do they live?

1. David gets off the bus before Jason and Tim.  Jason leaves before Donna.
2. Heather Avenue is between Candy Street and Evenstar Road.
3. Tim leaves the bus after Bobby.
4. The name of the second person off the bus doesn't begin with D.
5. Donna gets off the bus between Heather Avenue and Milton Junction.  Both of which are before Biddy Street.
6.  The person who gets off the bus next to last lives between Evenstar Road and Biddy Street.

The five students are David, Jason, Tim, Donna, and Bobby.
The five street names are Heather Avenue, Candy Street, Evenstar Road, Milton Junction, and Biddy Street.
The order leaving the bus is 1st, 2nd, 3rd, 4th, and 5th.

Logic Bunks

Ethan, Scott, Fernando, Damon, Mark and Hiroshi are sharing a cabin at summer camp.  There are six bunks in each cabin, three upper and three lower.  The bunks are numbered 1, 2, and 3 from left to right.  Which boy ended up in each bunk?

1. The tallest boy has the lower bunk below the shortest boy.
2. Ethan is the youngest boy.  He picked a top bunk on the left.
3. Scott has the bunk below Hiroshi.
4. Fernando is the shortest boy.
5. Damon has a bunk below the youngest boy.
6. Scott and Damon are not tall.
7. Hiroshi has a middle bunk to the right of the youngest boy.

Four Pizzas Watched a Football Game

Four guys are watching a football game.  At the beginning of the game, they defrost and cook four pizzas.  They sliced up the pizzas so that the pepperoni pizza had three slices.  The cheese pizza had five slices.  The sausage pizza had four slices and the vegetarian pizza had four slices.

So, which guy ate which kinds of pizza, and how many slices did they have of each?

1. All four guys had four slices.
2. No one ate more than three slices of any one kind.
3. 1 of the pizza slices, a pepperoni one, was chosen by Hank.  Another 1 that he had was vegetarian.
4. 3 of Peter's choices were just one kind.  1 was vegetarian.
5. Two of the guys ate one of each kind.
6. Jason does not like cheese pizza.

Three Bars for Four Boys

Four boys have three candy bars; a Snickers, a Hershey's chocolate bar and a Mars bar.  They agreed to cut one bar into three pieces, one into four pieces and one into five pieces.  They each took turns to pick one piece of a bar of their choice until everyone had three pieces.  Figure out who got which pieces and each of their last names.

1. Smith did not select a Mars piece.
2. Jeremy took two of the four Mars pieces, but no Hershey's.
3. Jones was the only one who did not get a piece of Snickers.
4. Derek and Smith each had one more Hershey's than Tyler.
5. Jason took no Mars pieces.
6. Greene took no Hershey's.
7. Ozzie took one Mars piece.


To be clear: first names are Derek, Jason, Jeremy, and Ozzie.  The last names are Greene, Jones, Smith and Tyler.