1

Part of 2012 May Olympiad

Problems(2)

May Olympiad 2012, Level 2, Problem 1

Source:

A four digit number is called stutterer if its first two digits are the same and its last two digits are also the same, e.g.

3311

2222

are stutterer numbers. Find all stutterer numbers that are square numbers.

what is Pablo's birthday date May Olympiad (Olimpiada de Mayo) 2012 L1 P1

Source:

Pablo says: “I add

2

to my birthday and multiply the result by

2

. I add to the number obtained

4

and multiply the result by

5

. To the new number obtained I add the number of the month of my birthday (for example, if it's June, I add

6

342

. " What is Pablo's birthday date? Give all the possibilities

algebranumber theory