Answer the following questions based on the information given below.In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled on two stages. Each team plays three matches in Stage 1 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 completions of Stage I and Stage II are as given below:
Stage I
One team won all three matches.
Two teams lost all three matches.
D lost to A but won against C and F.
E lost to B but won against C and F.
B lost at least one match.
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 other lost both matches.
One more than lost both matches in Stage II.
The only team(s) that won both the matches in Stage II is (are):