Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?

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