Task B-1.5. Sunčica, Franka, and Dora were graded in mathematics with three different grades: 3, 4, and 5. Neven tried to determine their grades: "Dora got a 3, Franka didn't get a 3, and Sunčica didn't get a 5." Dora responded to him: "You were right about only one of us." What grades did Sunčica, Franka, and Dora receive?
## Solution.

If we assume that Neven only guessed Dorina's grade correctly, then it follows that Sunčica and Franka received the same grade (3), which is impossible.

(2 points)

It is also impossible to assume that Franka did not get a 3, because in that case, no student would have received a 3.

(2 points)

Neven only guessed that Sunčica did not get a 5. Since the other assumptions are incorrect, it follows that Franka got a 3, and Dora did not get a 3.

(1 point)

The answer is - Franka got 3, Sunčica got 4, and Dora got 5.

(1 point)