CAT Exam  >  CAT Questions  >  Read the information given below and answer t... Start Learning for Free
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. What is the total number of matches played? (numerical value)
    Correct answer is '63'. Can you explain this answer?
    Verified Answer
    Read the information given below and answer the question that follows....
    In the 1st round, each pool has 8 players. So, the number of matches played in each pool will be (7 × 8)/2 = 28.
    Thus 56 matches will be played in the 1st round.
    The 2nd round will have 4 matches, the 3rd round will have 2 matches and the last round will have 1 match.
    Thus the total number of matches in the tournament is 56 + 7 = 63.
    View all questions of this test
    Most Upvoted Answer
    Read the information given below and answer the question that follows....
    Total Number of Matches Played in a U-16 Tennis Tournament

    Given Information:
    - 16 contestants enrolled for the tournament.
    - 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.
    - Top four players from each pool advance to the next round.
    - In the next round, winner advances to the next round while the loser is out of the tournament.
    - A match is made up of three sets.
    - The player who wins two sets out of three is declared the winner of the match.
    - No set or match ends in a tie.
    - Winner is awarded 10 points and the loser gets 3 points.

    To find: Total number of matches played in the tournament.

    Solution:
    - In the first round, each player in a pool plays against every other player in the same pool.
    - Therefore, the total number of matches played in one pool in the first round = 8C2 (number of ways to choose 2 players out of 8) = 28 matches.
    - Since there are two pools, the total number of matches played in the first round = 2 x 28 = 56 matches.
    - In the second round, top 4 players from each pool advance to the next round.
    - Therefore, the total number of players remaining in the tournament after the first round = 2 x 4 = 8 players.
    - In the second round, each match is played between 2 players.
    - Therefore, the total number of matches played in the second round = 4C2 (number of ways to choose 2 players out of 4) = 6 matches.
    - In the quarterfinals, 4 players remain in the tournament.
    - Therefore, the total number of quarterfinal matches = 4C2 = 6 matches.
    - In the semifinals, 2 players remain in the tournament.
    - Therefore, the total number of semifinal matches = 2C2 = 1 match.
    - In the final, 2 players play against each other.
    - Therefore, the total number of final matches = 1 match.
    - Thus, the total number of matches played in the tournament = 56 + 6 + 6 + 1 = 63 matches.

    Answer: The total number of matches played in the U-16 tennis tournament is 63.
    Attention CAT Students!
    To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
    Explore Courses for CAT exam

    Similar CAT Doubts

    Directions: Read the information given below and answer the question that follows.Five contestants, Danny, Elizabeth, Ashok, Ramesh and Franklin, entered in a puzzle show which had four puzzles – First puzzle, Second puzzle, Third puzzle and Fourth puzzle. Each puzzle had three checkboxes, Checkbox-1, Checkbox-2 and Checkbox-3, and each contestant had to choose one of the three checkboxes as his/her answer for each. The five contestants were sitting in a line, one behind the other, facing the same direction, not necessarily in the same order as mentioned above. During the show, except for the contestant sitting at the beginning of the line, each contestant copied the answer to exactly one puzzle from the contestant immediately in front of him. Further, for any pair of contestants sitting immediately next to each other, exactly one answer was the same (i.e. the answer that was copie d).It is also known that:(i) The contestant sitting at the last position, who was not Ashok, marked the answer as Checkbox-2 for Second puzzle and Franklin, who was not at the last position, did not mark the answer to Third puzzle as Checkbox-2.(ii) Exactly two contestants marked the answer as Checkbox-2 for First puzzle and neither of the two was sitting at any of the ends.(iii) Danny, who was sitting immediately in front of Ashok, marked the answer as Checkbox-3 for exactly two puzzles, while Ramesh marked the answer as Checkbox-3 only for First puzzle.(iv) Each of the four contestants who copied the answer did so for a different puzzle and each contestant marked the answer as Checkbox-1 for at least one puzzle, as Checkbox-2 for at least one puzzle and as Checkbox-3 for at least one puzzle.(v) The contestant sitting in the middle marked the answer to Second puzzle as Checkbox-3, which he did not copy.(vi) The contestant sitting at the second position, who was not Ashok, marked the answer as Checkbox-2 for Third puzzle, which he copied.Q.If the positions in which the contestants are sitting are represented as 1 to 5, from first to last, for how many contestants is their position the same as the number of the puzzle for which they copied the answer? Correct answer is '0'. Can you explain this answer?

    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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer?
    Question Description
    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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer?.
    Solutions for 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
    Here you can find the meaning of 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer?, a detailed solution for 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? has been provided alongside types of 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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. What is the total number of matches played? (numerical value)Correct answer is '63'. Can you explain this answer? tests, examples and also practice CAT tests.
    Explore Courses for CAT exam

    Top Courses for CAT

    Explore Courses
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev