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?

April 2017 Problem

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

March 2017 Problem

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

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?


January 2017 Problem

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

December 2016 Problem

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

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 ?

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 ?

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?

June 2016 Problem

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

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?

April 2016 Problem

One year, August has 4 Wednesdays and 4 Sundays.

How many Mondays does this year have?