Monthly Archives: May 2013

Square of an Integer

For how many integers is the square of an integer? Source: NCTM Mathematics Teacher SOLUTION The square of an integer is a positive integer, therefore is a positive integer. If or , a contradiction. Thus, . If the numerator is positive, the … Continue reading

Posted in Problem solving | Tagged , , , , , | 1 Comment

Integer Q

Find the greatest integer such that and the last three digits of  (ones, tens, and hundreds) are the same as integer itself. Source: mathcontest.olemiss.edu 4/29/2013 SOLUTION Let be the three digits of where is the hundreds digit, the tens digit, and … Continue reading

Posted in Problem solving | Tagged , , , , , | Leave a comment