Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 114. (January 2007)

K. 114. Steve has three classmates named Smith, four named Black, one named White and two named Tailor. Among these boys, there are four with the first name of Jack, two called Alex, three called Bob and one Martin. Each boy has only one first name, and no two boys in the class have exactly the same name. What are the full names of these classmates of Steve?

(6 pont)

Deadline expired on February 15, 2007.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás: Mivel négy Nagy van, és négyféle keresztnév, ezért a Nagyok neve: Nagy Laci, Nagy Sanyi, Nagy Robi és Nagy Marci. A három Kovácsnak is három különböző keresztnév dukál, és már csak három maradt (a Marci ,,elfogyott''), tehát a Kovácsok: Kovács Laci, Kovács Sanyi és Kovács Robi. Maradt még két Laci és egy Robi, a két Takács tehát Takács Robi és Takács Laci, az utolsó név pedig Kis Laci.

Statistics:

 189 students sent a solution. 6 points: 95 students. 5 points: 33 students. 4 points: 9 students. 3 points: 19 students. 2 points: 25 students. 1 point: 2 students. 0 point: 2 students. Unfair, not evaluated: 4 solutions.

Problems in Mathematics of KöMaL, January 2007