# Monthly Archives: October 2013

## Pesky Aliens

A Duram wheat farmer making his living in Edmonton, Alberta, Canada awoke one morning to find a huge crop circle in the middle of his largest field. While preparing the insurance claims paperwork, aerial photos revealed two overlaid equilateral triangles … Continue reading

## Decreasing Integer

The positive integer is called a decreasing integer because each digit is less than the digit to its left. In other words, is decreasing because is less than and is less than and is less than . The integer is … Continue reading

## Great 125

Four different positive whole numbers sum to one hundred twenty-five. If you increase one of these numbers by four, decrease the second by four, multiply the third by four, and divide the last by four, you will produce four equivalent … Continue reading

## 18 Factorial

is four factorial which is . If the sum of the expression is divided by , what would be the remainder? Source: mathcontest.olemiss.edu 10/7/2013 SOLUTION This problem is similar to the problem titled “Factorial Remainder” dated 1/10/2011. Answer: