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Riddle:

An officer wishing to arrange his men in a solid square found by his first arrangement that he had 39 men left over. He then started increasing the number of men on a side by one, but found that 50 additional men would be needed to complete a new square.

How many men did the officer have?

Answer:

The officer had 1975 men. When he formed a square measuring 44 by 44, he had 39 men over. When he tried to form a square 45 x 45, he was 50 men short.

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Riddle:

If two's company and three's a crowd, what are four and five?

Answer:

Four and five is nine.

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Riddle:

In a pond there are some flowers with some bees hovering over them. How many flowers and bees are there if both the following statements are true: 1. If each bee lands on a flower, one bee doesn't get a flower. 2. If two bees share each flower, there is one flower left out.

Answer:

4 bees and 3 flowers.

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Riddle:

There is a certain club which is for men only. There are 600 men who belong to this club and 5% of these men wear one earring. Of the other 95% membership, half wear two earrings and the other half wear none. How many earrings are being worn in this club?

Answer:

Six hundred. We know that 5%, or 30 of the men are wearing one earring. Of the other 95%, or 570, we know that half are wearing two earrings and the other half none. This is the same as if they all wore one.

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Riddle:

A nonstop train leaves Moscow for Leningrad at 60 mph. Another nonstop train leaves leningrad for Moscow at 40 mph. How far apartare the trains 1 hour before they pass eachother?

Answer:

100 miles (60+40)

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Riddle:

Four is half of five.

True or false?

Answer:

It's true. Think roman numerals.

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Riddle:

A group of soldiers were standing in the blistering sun facing due west. Their sergeant shouted at them: Right turn! About turn! Left turn! In which direction are they now facing?

Answer:

East. A right turn is 90 degrees, an about turn is 180 degrees, and a left turn is also 90 degrees. Therefore, the soldiers are now facing east.

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Riddle:

Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train.

"I notice," one of the girls said "that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?"

"Twelve, of course," the other girl answered, "because 60 divided by 5 equals 12."

The first girl did not agree. What do you think?

Answer:

If the girls had been on a standing train, the first girl's calculations would have been correct, but their train was moving. It took 5 minutes to meet a second train, but then it took the second train 5 more minutes to reach where the girls met the first train. So the time between trains is 10 minutes, not 5, and only 6 trains per hour arrive in the city.

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Riddle:

Take eight small sticks, four of which are half the length of the other four. Make three equal squares out of the sticks.

Answer:

Use the longer four sticks to be sharing sides between the squares and at the end their should be three intertwined squares.

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Riddle:

When my father was 31 I was 8. Now he is twice as old as me. How old am I?

Answer:

The difference in age is 23 years, so I must be 23 if my father is twice as old as me.

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