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POW: 10-02-2017

Riddle:

In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.


The Question: How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?

Answer:

It is not possible to guess only three fruits correctly: the fourth fruit is then correct too! So nobody has guessed three fruits correctly and 123-43-39-31 = 10 people have guessed four fruits correctly.

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POW: 09-25-2017

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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POW: 09-18-2017

Riddle:

A man has nine children, born at regular intervals. The sum of their squares of their ages is equal to the square of his own age.


What are  the ages of the children?

Answer:

2  -  5  -  8  -  11  -  14  -  17  -  20  -  23  -  26

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POW: 09-11-2017

Riddle:

How can you make the following equation true by drawing only one straight line: 5+5+5=550 Can you figure it out?

Answer:

Draw a line on the first plus sign that turns it into a 4! The equation then becomes true: 545+5=550. You could also change the equal symbol to a crossed out equal symbol which means "not equal to".

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POW: 09-04-2017

Riddle:

Can you write down eight eights so that they add up to one thousand?

Answer:

888 + 88 + 8 + 8 + 8 = 1000.

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To see more past Problem of the Week's refer to the Riddles Newsletter annals.

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