Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 474. (October 2015)

K. 474. Ann and Bob are playing a word guessing game. Anna thinks of a meaningful Hungarian word of four letters, which Bob is trying to guess. If Bob tries a certain Hungarian word of four letters, Ann will tell him how many of its letters occur in her word, too, and how many of those are in the correct place and how many are in the wrong place. What may have been the word that Ann had in mind? (No knowledge of the Hungarian language is required. Note that O and Ó are different letters in the Hungarian alphabet.)

Bob's guesses Number of correct letters in the right position Number of correct letters in the wrong position
RÓKA 1 0
OKOS 0 0
IKRA 2 0
RITA 1 1
DANÓ 0 3

(6 pont)

Deadline expired on November 10, 2015.


Statistics:

178 students sent a solution.
6 points:101 students.
5 points:24 students.
4 points:16 students.
3 points:9 students.
2 points:10 students.
1 point:14 students.
0 point:4 students.

Problems in Mathematics of KöMaL, October 2015