1

Part of 2010 May Olympiad

Problems(2)

min natural with all digits 4, multiple of 169

Source: XVI May Olympiad (Olimpiada de Mayo) 2010 L2 P1

Determine the smallest positive integer that has all its digits equal to

4

, and is a multiple of

169

.

number theorymultiple

volume of parallelepiped (May Olympiad 2010 L1 - Olimpiada de Mayo)

Source:

A closed container in the shape of a rectangular parallelepiped contains

1

liter of water. If the container rests horizontally on three different sides, the water level is

2

4

5

cm. Calculate the volume of the parallelepiped.

3D geometrygeometry