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Answer the questions based on the information given below:

The year was $2006.$ All six teams in Pool A of World Cup Hockey, play each other exactly once. Each win earns a team $3$ points, a draw earns one point and a loss earns zero points. The two teams with the highest points qualify for the semi-finals. In case of a tie, the team with the highest goal difference (Goal For – Goal Against) qualifies.

In the opening match, Spain lost to Germany. After the second round (after each team played two matches), the pool table looked as shown below:

 Pool A Teams Games Played Won Drawn Lost Goals For Goals Against Points Germany 2 2 0 0 3 1 6 Argentina 2 2 0 0 2 0 6 Spain 2 1 0 1 5 2 3 Pakistan 2 1 0 1 2 1 3 New Zealand 2 0 0 2 1 6 0 South Africa 2 0 0 2 1 4 0

In the third round, Spain Played Pakistan, Argentina played Germany, and New Zealand  played South Africa. All third round matches were drawn.  The following are some results from the fourth and fifth round matches.

• Spain won both the fourth and fifth round matches.
• Both Argentina and Germany won their fifth round matches by $3$ goals to $0.$
• Pakistan won both the fourth and fifth round matches by $1$ goal to $0.$

Which one of the following statements is true about matches played in the first two rounds?

1. Germany beat New Zealand by $1$ goal to $0.$
2. Spain beat New Zealand by $4$ goals to $0$
3. Spain beat South Africa by $2$ goals to $0.$
4. Germany beat South Africa by $2$ goals to $1.$