7.2. Olya, Oleg, Polya, and Pasha participated in a competition and took the first 4 places. After the competition, Polya left immediately, and the others made 2 statements, with only one child telling the truth both times, while the others lied both times. Each said that they took first place. In addition, Olya said that all odd places were taken by boys; Oleg said that he and Olya took two adjacent places; Pasha said that all odd places were taken by people whose names start with O. Determine who took which place.
Answer: Oleg - I, Olya - II, Polya - III, Pasha - IV

Solution: Olya and Pasha lied, as each of them made two contradictory statements (placing themselves and someone else simultaneously in the first place). Therefore, Oleg told the truth, he took the first place, and Olya took the second place. Olya lied when she said that boys were in the first and third places, so a girl must be in the third place, which is Polya, and Pasha is in the fourth place.

Criterion: Correct answer without justification, answer with verification - 1 point.