11.7
Problems(2)
consecutive, sum of digits / each (II Soros Olympiad 1995-96 R1 11.7)
Source:
6/3/2024
Find three consecutive natural numbers, each of which is divisible by the square of the sum of its digits. Prove that there are no five such numbers in a row.
Summationnumber theoryconsecutive integers
volumes parallelepiped and prism (II Soros Olympiad 1997-98 R3 11.7)
Source:
6/6/2024
Three edges of a parallelepiped lie on three intersecting diagonals of the lateral faces of a triangular prism. Find the ratio of the volumes of the parallelepiped and the prism.
geometry3D geometryprismVolume