Johnny was given 16 coins by his older, somewhat meaner brother, Mark. He told him that he could keep them all if he could place all 16 on the table in such a way that they formed 15 rows with 4 coins in each row.

After 10 minutes, Johnny walked away with the coins and Mark, after complaining futilely to his mother, left with nothing.

How did Johnny place the coins?

Look below for a hint.

Hint: Stars and pentagons

## Friday, September 29, 2006

## Thursday, September 28, 2006

### Fill in the blanks

In this word pyramid you have to take the letters from the first line and put them around the letter on the second line to form a new word. Once you have the next word, do the same with the next line.

Art

_ e _ _

_ _ _ _ h

_ _ _ _ e _

f _ _ _ _ _ _

_ _ _ _ _ _ _ d

Art

_ e _ _

_ _ _ _ h

_ _ _ _ e _

f _ _ _ _ _ _

_ _ _ _ _ _ _ d

## Wednesday, September 27, 2006

### Shipping Woes

5 guys who live in apartments make orders from the same company. Unfortunately the shipping company delivered every order to the wrong apartment.

1. Roger, who doesn't live in an end apartment, ordered the television set.

2. Tom lived next door to the man who received the dishware.

3. Mr. Weiseman, who didn't receive the automotive tools, lives two apartments from the man who ordered the downhill skis, and one apartment from Harry.

4. Ed, whose last name isn't Smith, lives in apartment #3, didn't receive the automotive tools.

5. Mr. Smith, who doesn't live in apartment #4, ordered the golf clubs but he received the item that Mr. Campbell ordered, which wasn't downhill skis.

6. The bachelor in apartment #1, which isn't Tom, ordered what Al received.

7. The man in apartment #2, who didn't receive the golf clubs, lives next door to where what he ordered was delivered.

8. Mr. Bates didn't order the downhill skis.

9. The television set was not delivered to Ed's apartment.

10. Tom lives in apartment #5.

11. Nothing is known about Mr. Harper.

Put together the apt number with the right first and last name, along with what they ordered and what they got.

1. Roger, who doesn't live in an end apartment, ordered the television set.

2. Tom lived next door to the man who received the dishware.

3. Mr. Weiseman, who didn't receive the automotive tools, lives two apartments from the man who ordered the downhill skis, and one apartment from Harry.

4. Ed, whose last name isn't Smith, lives in apartment #3, didn't receive the automotive tools.

5. Mr. Smith, who doesn't live in apartment #4, ordered the golf clubs but he received the item that Mr. Campbell ordered, which wasn't downhill skis.

6. The bachelor in apartment #1, which isn't Tom, ordered what Al received.

7. The man in apartment #2, who didn't receive the golf clubs, lives next door to where what he ordered was delivered.

8. Mr. Bates didn't order the downhill skis.

9. The television set was not delivered to Ed's apartment.

10. Tom lives in apartment #5.

11. Nothing is known about Mr. Harper.

Put together the apt number with the right first and last name, along with what they ordered and what they got.

## Tuesday, September 26, 2006

### Clock Face

You have an analog clock whose face is number in a circle from 1 to 12, with 12 facing "north", 3 "east", 6 "south", and 9 "west". You are allowed to draw two lines which go all the way across the clock face, and divide the numbers on the clock into 3 or 4 groups depending on if the lines intersect. How can you draw the lines so that the numbers in each group add up to the same sum.

## Monday, September 25, 2006

### It took me two and a half hours to get to work today

You're sitting in a car that's not moving with a helium-filled balloon, which is resting up against the car's ceiling somewhere near its middle. The driver hits the gas and the car accelerates forward, throwing you back into your seat.

What happens to the balloon?

What happens to the balloon?

## Friday, September 22, 2006

### I don't know if this is true, but...

In the early 1960's, NASA was sending electronic gear into outer space on unmanned missions. They'd already sent somebody into space, but they wanted to make sure that if they were going to send people up for longer flights, that they had a chance of surviving. They were sending electronic gear up to test a variety of things like radiation exposure, and so on.

The equipment kept failing, but they couldn't figure out why.

Finally, someone determined that the circuits were overheating, so they installed a fan to cool off the devices.

However, the problems persisted. Why?

The equipment kept failing, but they couldn't figure out why.

Finally, someone determined that the circuits were overheating, so they installed a fan to cool off the devices.

However, the problems persisted. Why?

## Thursday, September 21, 2006

### Reverse the words

The second word will be the first word reversed (e.g. tar & rat)

1. As he was packing the _____ he noticed a few _____ on his arm.

2. He got a _____ for putting the papers in the _____.

3. She was so _____ she forgot to make the _____.

4. The poor man had to _____ next to the pile of orange ______.

5. The _____ was wearing a _____ so he could be recognised.

6. The _____ had made just one _____ in their class project - they had forgotten to add the flag at the back.

1. As he was packing the _____ he noticed a few _____ on his arm.

2. He got a _____ for putting the papers in the _____.

3. She was so _____ she forgot to make the _____.

4. The poor man had to _____ next to the pile of orange ______.

5. The _____ was wearing a _____ so he could be recognised.

6. The _____ had made just one _____ in their class project - they had forgotten to add the flag at the back.

## Wednesday, September 20, 2006

### Word Pyramid

In this word pyramid you have to take the letters from the word pea and put them around the 'h' to form a new word. Once you have the next word, do the same with the next line.

pea

h _ _ _

s _ _ _ _

_ _ r _ _ _

_ _ _ _ _ _ n

_ _ _ _ _ _ _ l

pea

h _ _ _

s _ _ _ _

_ _ r _ _ _

_ _ _ _ _ _ n

_ _ _ _ _ _ _ l

## Tuesday, September 19, 2006

### Walk the dog

Some pets have become lost and its up to you to find them and their owners. Can you figure out who belongs to who and where the pet got lost?

1. A rabbit and a dog are two of the lost pets.

2. The pet lost in the garden is owned by Mary.

3. Robert does not own a dog.

4. John's pet was lost in the woods.

5. The cat was not lost in the woods or in the park.

1. A rabbit and a dog are two of the lost pets.

2. The pet lost in the garden is owned by Mary.

3. Robert does not own a dog.

4. John's pet was lost in the woods.

5. The cat was not lost in the woods or in the park.

## Monday, September 18, 2006

### How old?

The grandson is about as many days old as the son is in weeks. The grandson is approximately as many months old as the father is in years. The ages of the grandson, the son, and the father add up to 120 years. What are their ages?

## Friday, September 15, 2006

### Government Subsidies

The government pays farmers a specific fee for each row of four trees that they plant. An enterprising, but dishonest farmer found a way of planting five rows of four trees using only ten trees. How did he do it?

## Thursday, September 14, 2006

### Stamp collection

My sister has six red stamps and three blue ones. In her collection, seven stamps are from Mexico and six stamps are from France. One stamp is purple and it is not from Mexico or France. Two of her Mexican stamps are red and one is blue. Two of her French stamps are blue and three are red. How many stamps does she have?

## Wednesday, September 13, 2006

### Fill 'er up

A scientist is experimenting with bacteria that are one micron in diameter and that reproduce by dividing every minute into two bacteria. At 12:00 PM, he puts a single organism in a container. At precisely 1:00 PM, the container is full.

At what time was the container half full?

How big was the container?

At what time was the container half full?

How big was the container?

## Tuesday, September 12, 2006

### Quick logic

Rana, Toni and Millie are sisters. Their ages are 9,12 and 14 years.

You need to deduce which sister is 9 years old, which one is 12 and which one is 14.

You have two clues:

Clue 1 : Toni's age is not in the 4-times table.

Clue 2 : Millie's age can be divided exactly by the number of days in a week.

You need to deduce which sister is 9 years old, which one is 12 and which one is 14.

You have two clues:

Clue 1 : Toni's age is not in the 4-times table.

Clue 2 : Millie's age can be divided exactly by the number of days in a week.

## Monday, September 11, 2006

### Can you speak a little more clearly?

Example: "Don't place the two wheeled vehicle in a position preceding the equine mammal," is the proverb "Don't put the cart before the horse."

1. Positive aesthetic appeal is solely the equivalent of the thickness of the epidermis.

2. The ground covering of slender leaved plants is always a more vibrant hue of a common secondary color in the proximity of the opposite surface of a structure serving as a boundary.

3. Produce the sound of sharp tapping by striking blows to a processed piece of secondary xylem from a large perennial plant.

4. The gyre that emanates shrill sounds receives the viscous lubricant.

1. Positive aesthetic appeal is solely the equivalent of the thickness of the epidermis.

2. The ground covering of slender leaved plants is always a more vibrant hue of a common secondary color in the proximity of the opposite surface of a structure serving as a boundary.

3. Produce the sound of sharp tapping by striking blows to a processed piece of secondary xylem from a large perennial plant.

4. The gyre that emanates shrill sounds receives the viscous lubricant.

## Friday, September 08, 2006

### Weighty Issue

Martin rushed into the room bearing good news.

"Joseph, your idea worked! The company liked the idea of using only two types of weights to measure heavy objects!" announced Martin, giving the letter to Joseph.

"I told you so. Given any two types of weights, you can measure objects that are above a certain weight," explained Joseph, reading the letter, "Well, as long as the two weights are not both even."

Martin thought for a moment and then realized that he had no clue what Joseph meant by that, so he asked, "Huh? What? Isn't the new weight system designed to measure all types of objects?"

Joseph smiled and replied, "Technically, yes. However, this system can't measure objects that weigh 1 pound, 2 pounds and other lighter objects. Besides, both weights are heavier than 10 pounds."

"Really? But then why did the company like it?" wondered Martin, "What use does it have then? Can it measure 300 pounds? 90 pounds? 69 pounds?!"

"Yes, yes, and no." Joseph laughed, "You're not getting the point. The company only weighs things 120 pounds or heavier. This weighing system can't measure 119 pounds but any object above 119 pounds can be expressed as a sum of combinations of these two weights."

After hearing that, Martin was even more confused. Finally, Joseph said, "Look, 17 (5+5+7) can be expressed as a sum of only 5s and 7s. 18, on the other hand, can't. It works on the same principles. Think about it. You'll get it eventually."

Assuming everything has integer weights, what were the two types of weights that Joseph suggested?

"Joseph, your idea worked! The company liked the idea of using only two types of weights to measure heavy objects!" announced Martin, giving the letter to Joseph.

"I told you so. Given any two types of weights, you can measure objects that are above a certain weight," explained Joseph, reading the letter, "Well, as long as the two weights are not both even."

Martin thought for a moment and then realized that he had no clue what Joseph meant by that, so he asked, "Huh? What? Isn't the new weight system designed to measure all types of objects?"

Joseph smiled and replied, "Technically, yes. However, this system can't measure objects that weigh 1 pound, 2 pounds and other lighter objects. Besides, both weights are heavier than 10 pounds."

"Really? But then why did the company like it?" wondered Martin, "What use does it have then? Can it measure 300 pounds? 90 pounds? 69 pounds?!"

"Yes, yes, and no." Joseph laughed, "You're not getting the point. The company only weighs things 120 pounds or heavier. This weighing system can't measure 119 pounds but any object above 119 pounds can be expressed as a sum of combinations of these two weights."

After hearing that, Martin was even more confused. Finally, Joseph said, "Look, 17 (5+5+7) can be expressed as a sum of only 5s and 7s. 18, on the other hand, can't. It works on the same principles. Think about it. You'll get it eventually."

Assuming everything has integer weights, what were the two types of weights that Joseph suggested?

## Thursday, September 07, 2006

## Wednesday, September 06, 2006

### Three Distinct

Can you find three distinct positive integers A, B and C such that the sum of their reciprocals equals 1?

In other words: 1/A + 1/B + 1/C = 1 where A does not equal B does not equal C (and A does not equal C).

In other words: 1/A + 1/B + 1/C = 1 where A does not equal B does not equal C (and A does not equal C).

## Tuesday, September 05, 2006

### Squares

The number 150 is expressible as the sum of distinct squares, as shown:

150 = 100 + 49 + 1 = 10^2 + 7^2 + 1^2

Every number above 150 is expressible as the sum of distinct squares. But there are 37 numbers that cannot be expressed in this fashion. Care to find the largest one?

150 = 100 + 49 + 1 = 10^2 + 7^2 + 1^2

Every number above 150 is expressible as the sum of distinct squares. But there are 37 numbers that cannot be expressed in this fashion. Care to find the largest one?

## Monday, September 04, 2006

### Sum Days

Some people believe that January 1, 2000 is the first day of the 21st century. Other people believe that the honor belongs to January 1, 2001. But everyone should agree that January 1, 2002 is the first "sum-day" of the new century- when you write out that date in standard notation, it becomes 01/01/02, and 1+1=2. More generally, a sum-day is a date in which the day and month add up to the year. With that in mind:

A) What is the last sum-day of the 21st century?

B) How many sum-days are there in the 21st century?

A) What is the last sum-day of the 21st century?

B) How many sum-days are there in the 21st century?

## Friday, September 01, 2006

### Sheep-days

Imagine a pasture that is just big enough to feed 11 sheep for a total of 8 days. It turns out that if we reduce the number of sheep to 10, they would be able to eat for 9 days.

Theoretically, how long could two sheep last?

Theoretically, how long could two sheep last?

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