olymmath

OPM 2005 Problem 1

  • Final day 1

In line for a SuperRockPop concert were 2005 people. With the aim of offering 33 tickets for the "backstage", the first person in line was asked to shout "Super", the second "Rock", the third "Pop", the fourth "Super", the fifth "Rock", ` the sixth "Pop" and so on. Anyone who said "Rock" or "Pop" was eliminated. This process was repeated, always starting from the first person in the new line, until only 33 people remained. What positions were these people in at the beginning?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2005 official paper, page 1.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator pt-opm/2005/p1 · Tag GQ4GXBJVEE · Edit this page on GitHub · Keys: j next, k previous