Problem of the Month

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May 2017 Problem

A flooring is done with identical tiles in the form of a regular n-polygon. What might be the value of n?
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April 2017 Problem

A three digit number abc when muptiplied by 11n gives the number      n n n n. What is abc ?
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March 2017 Problem

Given a number consisting of 2016 digits 1. Prove that it is divisible by 101.
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February 2017 Problem

46 Republicans and Democrats are sitting at a round table.

More than a half of them are Republicans.

Is it certain that there are two Republicans facing each other?

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January 2017 Problem

x is a prime number greater than 3. Prove that 2x2+190 is a multiple of 48.
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December 2016 Problem

Given c2 - c + 1 = 0. Calculate c5036 + 1/ c5036
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November 2016 Problem

In a dancing school, some students do not have a permanent dancing partner : this concerns 2/7 of the girls and ¼ of the boys. What percentage of the students has a permanent dancing partner ?
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October 2016 Problem

Jack picks at random three integers between 7 and 11 (inclusive). Mary picks an integer from 24 to 33 (inclusive). What is the probability that Mary’s number is less than the sum of Jack’s numbers ?
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September 2016 Problem

A stock of 650 tons of wood has a 16% moisture content. A month later, as a result of drying, the moisture content reduced to 9 %.                                                                       What is the new weight of the stock?
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June 2016 Problem

A postman has to distribute 10 identical postcards to 5 mailboxes. By how many ways can he do this ?
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May 2016 Problem

Ten students are standing in line. How many possibilities do we have to select four out of them, so that no two were neighbors in this line?
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April 2016 Problem

One year, August has 4 Wednesdays and 4 Sundays.

How many Mondays does this year have?

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