Four Nines To Make a Hundred

How can you make four 9’s equal 100?

99 9/9 = 100

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Betcha Find a Chocolate

Laura saw that there were three pieces of candy left in a bowl on the kitchen table. She knew they were either chocolates or caramels but didn’t know how many there were of each. What is the probability that there is a piece of chocolate candy in the bowl?

7/8.

The possible combinations are:
1. Chocolate Chocolate Chocolate
2. Caramel Caramel Caramel
3. Chocolate Chocolate Caramel
4. Caramel Caramel Chocolate
5. Chocolate Caramel Caramel
6. Caramel Chocolate Chocolate
7. Chocolate Caramel Chocolate
8. Caramel Chocolate Caramel

Number 2 is the only one that doesn’t have chocolate, thus Laura’s love of chocolate will more than likely be satiated.

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The Average of Three

There are three numbers. The first two are 2/3 and 3/4.

What does the third number have to be to make the average of all three be 2?

4 7/12

In order for the average of three numbers to be 2, they must all add up to 6. That gives you this equation:
2/3 + 3/4 + n = 6

Solve for n = 55/12, or 4 7/12.

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Two Plus Two Equals Four

Each letter represents a different digit. Any digit can be used, but zero can never start a word. Given W = 2 and R = 6, what do the rest of the letters represent?

  TWO
+ TWO
------
 FOUR

F = 1
O = 8
R = 6
T = 9
U = 5
W = 2

  928
+ 928
-----
 1856
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An Urgent Phone Call

A man was working the night shift when he received an urgent phone call, giving him information that caused him to dash home at breakneck speed.

On bursting into his bedroom quite breathless he found his informant was quite correct. His wife was in bed with someone he had never seen before.

However, far from being angry, he greeted them both with a smile and a few hours later brought them both breakfast in bed.

What is the explanation for this odd behavior?

His wife had just given birth.

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Al and Fred’s Car Wash

Al washes a car in 6 minutes. Fred washes the same car in 8 minutes. How long will it take them to wash the car together?

There isn’t enough information, thus there’s no one, right answer. (As frustrating as that may be)

This is from the TV show Boy Meets World, season 1 episode 12.

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Making Lots of Shirts

In a textile factory, 5 machines take exactly 5 minutes to make 5 shirts. How many minutes will it take 100 machines to produce 100 shirts?

5 minutes. It takes each machine 5 minutes to make a shirt, so if you have all 100 machines running at the same time, they’ll produce the 100 shirts in 5 minutes.

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Tabitha and Ronan’s Age

Tabitha is 13 years old. Her father Ronan is 40 years old. How many years ago was Ronan four times as old as Tabitha?

Four years ago, when Tabitha was 9 and Ronan was 36 (9 × 4 = 36)

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An Alphabetic Phrase

What phrase can be made using the following letters?

A B C D E F G I

Big-faced.

I wouldn’t suggest calling anyone that, unless you want a big red nose from being punched.

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True, False or Confused?

Which of the following statements are true and which are false?

1. Only one of the statements is false.
2. Exactly two of the statements are false.
3. Only three of the statements are false.
4. Exactly four of the statements are false.
5. All five of these statements are false.

The only true statement is #4 and the rest are false.

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