In a certain target-shooting game, a team must shoot at seven targets. Exactly one shot is allowed for shooting at each target. The targets are numbered in consecutive1 order from 1 to 7. The game is being played by a three-member team consisting of players S, T, and U, who must observe the following rules:
The seven targets must be shot at in consecutive order, starting with target 1.Both S and U can shoot at odd-numbered and even-numbered targets.
T cannot shoot at even-numbered targets.
S and T must each shoot at no fewer than two targets.
U must take exactly one shot.
S cannot take three consecutive shots.
1. If all team members take exactly their required minimum2 number of shots before any team member takes an additional3 shot, then the next target to be shot at in the game after the required minimum of shots is target
3 4 5 6 7
2. If T takes the same total number of shots during the game as one other team member, then which of the following is true?
S must shoot at even-numbered targets only.
T must shoot at all of the odd-numbered targets.
U must shoot at an odd-numbered target.
S and U must each shoot at exactly one odd-numbered target.
Either S or U, but not both, must shoot at exactly one odd-numbered target.
3. If all odd-numbered but no even-numbered targets are hit during the game, then all of the following are possible total numbers of hits for each player at the end of the game EXCEPT
S=2; T=1; U=1 S=1; T=2; U=1
S=0; T=3; U=1 S=2; T=2; U=0
S=1; T=3; U=0
4. If, during the game, S and T each hit exactly half of the targets that each shoots at, then the lowest possible total number of hits that the team could make in the game is
1 2 3 4 5
5. There is one and only one of the seven targets that U can shoot at during the game if the team agrees in advance that
S will shoot at exactly four targets
S will shoot at targets 2, 4, and 6 only
T will take exactly three shots
T will shoot at targets 1 and 7 only
T will shoot at targets 3 and 5 only
