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Riddle:

Farmer Brown came to town with some watermelons. He sold half of them plus half a melon, and found that he had one whole melon left. How many melons did he take to town?

Answer:

Easy, three melons!

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Riddle:

Out of 100 ladies attending the dance,

85 had a white hand bag;
75 had black shoes;
60 carried an umbrella;
90 wore a ring;

How many ladies must have had all four items?

 

Answer:

10

Divide by 3. All the ladies had three items. The remainder shows the number of ladies who had 4.

85
75
60
90
______
310 / 3 = 100 + 10 remainder

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Riddle:

Walking home one day, you take a short cut along the train tracks. The tracks cross a narrow bridge over a deep gorge. At the point you are 3/8 of the way across the bridge, you hear the train whistle somewhere behind you. You charge across the bridge, and jump off the track as the train is about to run you down. As it happens, if you had gone the other way, you would have reached safety just before being run over as well. If you can run ten miles per hour, how fast is the train moving?

Answer:

The train is moving at 40 miles per hour. Imagine that a friend is walking with you. When the train whistle blows, you head away from the train, he heads toward it. When he reaches safety, you will be 6/8 (or 3/4)of the way across the bridge, and the train will have just reached the bridge. For the train to cross 4/4 of the bridge in the time you cross the remaining 1/4, the train must be moving four times your speed.

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Riddle:

In olden days, the student of logic was given this problem: If half of 5 were 3, what would one-third of 10 be?

Answer:

It would be 4.

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Riddle:

Twelve flags stand equidistant along the track at the stadium. The runners start at the first flag. A runner reaches the eighth flag 8 seconds after he starts. If he runs at an even speed, how many seconds does he need altogether to reach the twelfth flag?

 

Answer:

Not 12 seconds. There are 7 segments from the first flag tot the eighth, and 11 from the first to the twelfth. He runs each segment in 8/7 seconds; therefore, 11 segments take 88/7= 12 4/7 seconds.

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Riddle:

What is 1/2 of 1/4 of 2/9 of 3/7 of 84?

Answer:

The answer is 1. 3/7 of 84 = 36 2/9 of 36 = 8 1/4 of 8 = 2 1/2 of 2 = 1

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Riddle:

My only timepiece is a wall clock. One day I forgot to wind it and it stopped. I went to visit a friend whos watch is always correct, stayed awhile, and then went home. There I made a simple calculation and set the clock right.

How did I do this even though I had no watch on me to tell how long it took me to return from my friend's house?

Answer:

Before I left, I wound the wall clock. When I returned, the change in time equaled how long it took to go to my friends house and return, plus the time I spent there. But I knew the latter because I looked at my friends watch when I arrived and left.

Subtracting the time of the visit from the time I was absent from my house, and dividing by 2, I obtained the time it took me to return home. I added this time to what my friend watch showed when I left, and set the sum on my wall clock.

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Riddle:

Lazy Larry agreed to work on a job for his brother-in-law for thirty hours at eight dollars an hour, on the condition that he would forfeit ten dollars per hour for every hour that he idled. At the end of the thirty hours Larry wasn't owed any money and didn't owe his brother-in-law any money either. How many hours did Larry work and how many hours did he idle?

Answer:

Lazy Larry worked 16-2/3 hours and idled 13-1/3 hours. 16-2/3 hours, at $8.00 an hour amounts to the same amount as 13-1/3 hours at $10.00 per hour.

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Riddle:

Given two 2s, "plus" can be changed to "times" without changing the results: 2 + 2= 2 x 2.

The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3.

Now find the answer for 4 numbers and for 5 numbers.

Answer:

Solution for 4 numbers:

1 + 1 + 2 + 4= 1 x 1 x 2 x 4.

Solution for 5 numbers:

1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4 

1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4

1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2

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Riddle:

How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where?

Answer:

9 + 8 + 7 + 65 + 4 + 3 + 2 + 1= 99

9 + 8 + 7 + 6 + 5 + 43 + 21= 99

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