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Answer the following questions based on the information given below: In a sports event, six teams $\text{(A, B, C, D, E and F)}$ are competing against each other. Matches are scheduled in two stages. Each team plays three matches in stage – I and two matches in Stage – II. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage – I and Stage – II are as given below.

Stage-I:

  • One team won all the three matches.
  • Two teams lost all the matches.
  • $\text{D}$ lost to $\text{A}$ but won against $\text{C}$ and $\text{F}$.
  • $\text{E}$ lost to $\text{B}$ but won against $\text{C}$ and $\text{F}$.
  • $\text{B}$ lost at least one match.
  • $\text{F}$ did not play against the top team of stage-I.

Stage-II:

  • The leader of Stage-I lost the next two matches.
  • Of the two teams at the bottom after Stage-I, one team won both matches, while the other lost both matches.
  • One more team lost both matches in Stage-II.

The teams that won exactly two matches in the events are:

  1. $\text{A, D & F}$
  2. $\text{D & E}$
  3. $\text{E & F}$
  4. $\text{D, E & F}$
  5. $\text{D & F}$
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