Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 433. (November 2014)

K. 433. We have four objects that look all alike, but weigh 3, 5, 8 and 11 kg. We also have an equal-arm balance without extra weights.

\(\displaystyle a)\) By using the balance only twice, how can we identify the 11-kg object?

\(\displaystyle b)\) With two further measurements, how can we determine the masses of the other objects, too?

(6 pont)

Deadline expired on December 10, 2014.


122 students sent a solution.
6 points:86 students.
5 points:5 students.
4 points:1 student.
3 points:3 students.
2 points:17 students.
1 point:3 students.
0 point:5 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, November 2014