A soccer competition consisted of two rounds. In each round, the 20 teams competing were divided randomly into 10 pairs,

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A soccer competition consisted of two rounds. In each round, the 20 teams competing were divided randomly into 10 pairs, and each pair played a single game. None of the games resulted in a tie, and of the teams that lost in the first round, 7 also lost in the second round. How many teams won both of their games?

(A) 3

(B) 4

(C) 5

(D) 6

(E) 7

Answer: E

Source: Manhattan GMAT