**One is Not a Dime**

You have two coins which total 35 cents and one of the coins is not a dime.

**What are the two coins?**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

A quarter and a dime. One coin is not a dime, but the other one is.

**Riddle of the Missing Money**

Three friends check into a hotel for the night. The clerk tells them the bill is $30, payable in advance.

They each pay the clerk $10 and go to their room.

A few minutes later, the clerk realizes he has made an error and overcharged the friends by $5.

He asks the porter to return $5 to the friends.

The porter sees this as an opportunity to make $2 as he reasons that the three friends would have a tough time dividing $5 evenly among them; so he decides to tell them that the clerk made a mistake of only $3, giving a dollar back to each of the friends.

He pockets the leftover $2, money that he will use to buy some Think Gum!

Now that each of the three has got a dollar back, they each have paid $9 for the room which is a total of $27 for the night.

We know the porter pocketed $2 and adding that to the $27, you get $29, not the $30 that was originally spent.

**Where did the other dollar go?**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

The facts in this riddle are clear: The friends were initially charged $30.

It should only have been $25, so $5 must be returned and accounted for.

$3 is given to the 3 friends, $2 is kept by the porter – there you have the $5.

The trick to this riddle is that the addition and subtraction are done at the wrong times to misdirect your thinking – and quite successfully for most.

Each of the 3 friends did indeed pay $9, not $10, and as far as the friends are concerned, they paid 27 for the night.

But we know that the clerk will tell us that they were charged only $25 and when you add the $3 returned with the $2 kept by the porter, you come up with $30.

The facts in this riddle are clear: The friends were initially charged $30. It should only have been $25, so $5 must be returned and accounted for. $3 is given to the 3 friends, $2 is kept by the porter – there you have the $5. The trick to this riddle is that the addition and subtraction are done at the wrong times to misdirect your thinking – and quite successfully for most. Each of the 3 friends did indeed pay $9, not $10, and as far as the friends are concerned, they paid 27 for the night. But we know that the clerk will tell us that they were charged only $25 and when you add the $3 returned with the $2 kept by the porter, you come up with $30.

**Cosmic**

5 -> 4 is cosmic

1 -> 3 -> 5 -> 4 is cosmic

11 -> 6 -> 3 -> 5 -> 4 is cosmic

99 -> 9 -> 4 is cosmic

33 -> 11 -> 6 -> 3 -> 5 -> 4 is cosmic

16 -> 7-> 5 -> 4 is cosmic

**Why is the number four a cosmic number?**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

The number 4 is a cosmic number because it has the same number of letters in the word as the value the number represents. It is the only number like this. 3 -> 5 -> 4 because T-H-R-E-E (5) -> F-I-V-E (4) -> F-O-U-R (4) -> F-O-U-R(4) -> ….

F-O-U-R is Cosmic.

**Find the Heavier Ball**

You have 8 balls, one of which is slightly heavier than the others. All of the balls look identical and you cannot tell which is heavier by feel alone. You also have an extremely precise two-armed scale with which to measure the weight of the balls. You are allowed to use this scale only twice.

**Your challenge: find the ball that’s heavier.**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

Put three balls on each side of the scale. If the arms are equal, you know the heavy ball is one of the two remaining balls. If the arms are unequal, take the three balls on the heavier side, pick two and weigh them against each other. If they are equal then the other ball is the heavy one.

**How to Measure Water**

You have two containers; one holds exactly five gallons, the other holds exactly three gallons. You have as much water as you want.

**Your task: measure exactly four gallons of water into the five-gallon container.**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

Fill up the three-gallon container and pour it into the five-gallon container. Do it again — and there will be one gallon left in the three-gallon container. Empty the five, pour in the one, fill the three again and pour it into the five-gallon container — and you’ve got four.

**– Or –**

Fill up the 5 gallon container and then pour out water into the 3 gallon container until it is full. You now have 2 gallons in the 5 gallon container. Empty the 3 gallon container and then pour in the 2 gallons. Fill up the 5 gallon container and pour water into the 3 gallon container until it is full. You now have 4 gallons in the 5 gallon container

**The Way to Truthtown**

You’re trying to get to Truthtown, a place where everyone lives in paradise and has an unlimited supply of Think Gum. You come to a fork in the road.

One road leads to Truthtown (where everyone always tells the truth no matter what is asked of them), the other road leads to Liartown (where everyone lies no matter what is asked of them).

At the fork is a man from one of those towns — but you don’t know which one.

You get to ask him only one question to discover the way.

**What question should you ask to make sure you get to Truthtown?**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

To find the way to Truthtown, simply ask the man, “Which way is your hometown?” Then go whichever way he points: if he’s from Liartown, he’ll point to Truthtown and if he’s from Truthtown, he will also point to Truthtown.

**Milk and Orange Juice**

You have an 8-oz glass of milk and an 8-oz glass of orange juice. You take one full straw worth of milk from the glass of milk and put it into the glass of orange juice. You mix it thoroughly. Then, you take one straw worth of the mostly orange juice with a little bit milk mixture and put it back into the glass of milk.

**Which glass has more of the other type of drink in it?**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

They each have the same amount of the other drink in them. For the sake of explaining, let’s assume we are dealing with 100 units as the amount in each glass to start and 1 unit as the amount of liquid the straw can transfer.

This is best explained with a diagram.

Step |
Milk glass |
OJ glass |

Beginning |
100 units Milk | 100 units Milk |

The Transfer |
99 units Milk | 100 Units Milk, 1 Unit OJ |

Transfer Back |
99&1/101 Milk, 100/101 OJ | 99&1/101 OJ, 100/101 Milk |

Each has 100/101 of a unit of the other liquid which is just less than one straw worth of liquid.

**Across The Flooded Street**

You are chaperoning the final night of your son’s science fair. He is giving a report on how wild animals can be domesticated and has trained a wolf to do tricks. You want your son to get first prize and have purchased a box of Think Gum to make sure he performs at his best. On your way to the fair, there is a flood and you come across a very small boat.

You need to get across the flooded street with all three items: the wolf, your son and the box of Think Gum. You are the only one who is able to drive the boat and the boat is so small that you can only take yourself plus one item at a time across the river. The problem is, you cannot leave the wolf alone with your son, or the wolf might eat your little boy. Also, you cannot leave your son alone with the box of Think Gum, or he will eat all of the gum.

**How do you get all three items across the river?**

**Need a hint? Try chewing Think Gum to boost your critical thinking and concentration.**

Solution:

1. Take your son, leaving the wolf and the Think Gum

2. Go back with nothing

3. Take the Think Gum across

4. Go back with your son

5. Leave your son and take the wolf across

6. Go back with nothing

7. Take your son across

8. Watch your son win the science fair