# Monthly Archives: October 2012

## Power Digits

You are given two different values: two to the power of and five to the power of . If you find the product of these two values, what will be the sum of the digits of this large number? In … Continue reading

## Locomotive Express

Two trains are on the same track heading straight for each other because each needs to get through a mountain tunnel. One train is traveling at miles per hour while the other is traveling at miles per hour. If the … Continue reading

## Math Museum

A beautiful, new Museum of Mathematics History is opened in London, England. Admission to the museum, which includes a movie and popcorn, is pounds. For the first month, the regular admission price was charged to all patrons. For the second … Continue reading

## M and N

and are positive integers and neither ofÂ [them] are divisible by . If the product of and equals , find the absolute value of the difference of and . Source: mathcontest.olemiss.edu 10/8/2012 SOLUTION Since and are not divisible by , neitherÂ of … Continue reading

## 2502254

How many different seven-digit numbers can be produced by rearranging the digits of ? Source: mathcontest.olemiss.edu 10/1/2012 SOLUTION Let’s pick a random digit other than zero among to be the leading digit. For example, let’s pick . Even though the … Continue reading