0:30 – 12% of logic games are mixed games, and 8% of all games are hybrid games.
0:53 – A hybrid game is a game that combines grouping and ordering tasks.
1:03 – Rules in a hybrid game: Fixed Position, Relative Relationship, Fixed Relationship, and Conditional Relationship.
1:22 – The first step is to create a game board.
1:25 – For example: The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. (F, G, H)
Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O’Rourke, Pavlovich, Sethna, and Tsudama. (M, N, O, P, S, T)
2:30 – The second step is to notate the rules.
2:40 – The given rules are:
- Sethna is on the team from Gillom High. (SG)
- Tsudama is on the second-place team. (T2)
- Mei and Pavlovich are not on the same team. (~(M and P))
- Pavlovich’s team places higher than Navarro’s team. (P – N)
- The team from Gillom high places higher than the team from Hilltop High. (G – H)
3:33 – The next step is to think about any inferences given the information.
3:46 – One strategy is to see if there are any floaters (players not involved in the rules). (O)
4:04 – If G were the 2nd place team, H would have to be the 3rd team given the 5th rule.
4:33 – Similarly, if G were to go 1st, H could go 3rd or 2nd.
4:40 – Next, create three game boards where we map out the placement of the teams based on the given.
6:25 – We would now be able to more easily answer the questions once we have all the information and inferences mapped out.
Which one of the following could be an accurate list of the members of each of the three highest-placing teams?
- (A) first place: Mei and O’Rourke; second place: Pavlovich and Sethna; third place: Navarro and O’Rourke
- (B) first place: Mei and Pavlovich; second place: Sethna and Tsudama; third place: Navarro and O’Rourke
- (C) first place: Navarro and Sethna; second place: Pavlovich and Tsudama; third place: Mei and O’Rourke
- (D) first place: O’Rourke and Pavlovich; second place: Navarro and Tsudama; third place: Mei and Sethna
- (E) first place: Pavlovich and Sethna; second place: O’Rourke and Tsudama; third place: Mei and Navarro
6:38 – We just have to apply the rules to remove the wrong choices and find the right answer.
7:00 – If we take the 2nd rule, we can rule rid of (A) because we know T is on the second-place team.
7:12 – The 3rd rule states that M and P can’t be on the same team, so we can rid of choice (B).
7:21 – The 4th rule tells us that P is before N. Therefore, we can rid of choice (C) which tells us the opposite.
7:32 – The last rule tells us that G is before H. This means that the team from G cannot be the last team. Since S must be on a team from G, then S cannot be third. Therefore, we can get rid of (D).
8:11 – This leaves us with (E) as the answer.