Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 219. (October 2009)

K. 219. Five different positive integers were chosen and pairwise multiplied together. The results are as follows: 6, 10, 15, 24, 36, 42, 60, 105, 63, 252. What were the five numbers?

(6 pont)

Deadline expired on November 10, 2009.


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

Megoldás. A keresett számötös: \(\displaystyle 2, \ 3,\ 5,\ 12,\ 21\).


Statistics:

277 students sent a solution.
6 points:85 students.
5 points:30 students.
4 points:36 students.
3 points:20 students.
2 points:43 students.
1 point:41 students.
0 point:7 students.
Unfair, not evaluated:15 solutions.

Problems in Mathematics of KöMaL, October 2009