Mathematical and Physical Journal
for High Schools
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Problem B. 4647. (September 2014)

B. 4647. Given that 100 closed unit discs, together, cover a different, 101st closed unit disc. Show that there is a disc among the 100 that covers the point on the top of another. (Top means greatest ordinate.)

Suggested by D. Pálvölgyi, Budapest

(6 pont)

Deadline expired on October 10, 2014.


Statistics:

51 students sent a solution.
6 points:Balog Gergely, Barabás Ábel, Baran Zsuzsanna, Bereczki Zoltán, Cseh Kristóf, Csépai András, Czirkos Angéla, Döbröntei Dávid Bence, Fekete Panna, Gáspár Attila, Geng Máté, Gyulai-Nagy Szuzina, Hansel Soma, Horváth Miklós Zsigmond, Imolay András, Kátay Tamás, Katona Dániel, Kerekes Anna, Kovács 972 Márton, Lajkó Kálmán, Leitereg Miklós, Mócsy Miklós, Nagy-György Pál, Németh 123 Balázs, Schrettner Bálint, Schwarcz Tamás, Simon Dániel Gábor, Szakács Lili Kata, Szebellédi Márton, Szécsi Adél Lilla, Szőke Tamás, Tomcsányi Gergely, Tóth Viktor, Váli Benedek, Várkonyi Dorka, Williams Kada, Záhorský Ákos.
5 points:Coulibaly Patrik, Gera Dóra, Gergely Patrik, Horeftos Leon, Nagy Gergely, Porupsánszki István, Vajda Alexandra.
4 points:4 students.
2 points:1 student.
0 point:2 students.

Problems in Mathematics of KöMaL, September 2014