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Read the information given below and answer the question that follows.
16 contestants enrolled for a U-16 tennis tournament. The contestants are divided into two pools of 8 players each. In the first round, each player plays a match with every other player in her pool. The top four players from each pool advance to the next round, where the winner of a match advances to the next round while the loser is out of the tournament, and so on till one of the players wins the tournament. At each stage of the tournament, a match is made up of three sets, and the player who wins two sets out of three is declared the winner of the match. If a player wins two consecutive sets, she is declared the winner and the match is over. For each match, the winner is awarded 10 points and the loser gets 3 points. No set or match ends in a tie.
Q. Shweta, who won the tournament, defeated each of her opponents from the second round onwards by winning two consecutive sets in each match. Which of the following cannot be the total number of sets played by Shweta in the tournament?
  • a)
    21
  • b)
    25
  • c)
    29
  • d)
    27
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Read the information given below and answer the question that follows....
In the 2nd, 3rd and 4th round, Shweta plays 1 match each. So the number of sets she plays from the 2nd round onwards is 2 × 3 = 6.
In the 1st round, she plays 7 matches. She will have to play a minimum of 2 sets per match and a maximum of 3 sets per match.
So, she must play a minimum of 14 sets and a maximum of 21 sets in the 1st round.
Thus the total number of sets ranges from 20 to 27.
Hence the answer will be 29.
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Most Upvoted Answer
Read the information given below and answer the question that follows....
Analysis:
- Shweta won the tournament by defeating each of her opponents from the second round onwards by winning two consecutive sets in each match.
- The tournament format includes playing three sets in each match.
- To calculate the total number of sets played by Shweta, we need to determine the total number of matches she played.

Solution:
- In the first round, each player plays 7 matches (since there are 8 players in the pool).
- The top 4 players from each pool advance to the next round. So, Shweta played 3 matches in the first round.
- From the second round onwards, Shweta won all matches by winning two consecutive sets.
- Therefore, in the second round, Shweta played 2 sets in each of the 3 matches she won.
- Since Shweta won the tournament, she played all matches until the final.
- In the final, Shweta won by winning two consecutive sets.
- Therefore, the total number of sets played by Shweta = 3 (first round) + 6 (second round) + 2 (final) = 11 sets.

Conclusion:
- The total number of sets played by Shweta in the tournament is 11.
- The option that cannot be the total number of sets played by Shweta is 29 (option c), as it is not a possible value based on the tournament format.
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Question Description
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