MathDB

1

Part of 2007 May Olympiad

Problems(2)

max natural with different digits, multiple of 5, 8 and 11

Source: XIII May Olympiad (Olimpiada de Mayo) 2007 L2 P1

9/19/2022
Determine the largest natural number that has all its digits different and is a multiple of 55, 88 and 1111.
number theorymutliple
day of the week is May 12 if a year has 53 Saturdays

Source: XIII May Olympiad (Olimpiada de Mayo) 2007 L1 P1

9/22/2022
In a year that has 5353 Saturdays, what day of the week is May 1212? Give all chances.
number theoryalgebra