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DIRECTIONS for the question: Read the information given below and answer the question that follows.
There are five teams - Paraguay, Qatar, Russia, Spain and Turkey playing in a tournament where each team plays against every other team only once. These are the following possibilities: each match can result in a draw where each team scores two points; or a team can win where it scores three points, while the losing team scores one point.
Q. If Paraguay has won all the matches and Turkey has lost all the matches and all the remaining three teams score equal points, how many points have each of the three remaining teams scored?
  • a)
    5
  • b)
    7
  • c)
    8
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
DIRECTIONS for the question: Read the information given below and answ...
►Score of  P= 4 matches × 3 points for all wins = 12.
►Score of T = 4 Matches × 1 point for all lost matches = 4,
►Score of Q, R, S= Each team has lost 1 match against P & won 1 match against T= 4 Points each.
►Now, for Q,R,S, to have equal total score, the remaining matches should result in a draw.
►Therefore, Score of Q / R / S= 8
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Most Upvoted Answer
DIRECTIONS for the question: Read the information given below and answ...
Given Information:
- Total number of teams: 5 (Paraguay, Qatar, Russia, Spain, Turkey)
- Each team plays against every other team only once
- Scoring system:
- Draw: Each team scores 2 points
- Win: Winning team scores 3 points, losing team scores 1 point

Given Conditions:
- Paraguay has won all matches
- Turkey has lost all matches
- Three remaining teams score equal points

Solution:
- Paraguay has won all matches, so they have scored 3 points in each match.
- Turkey has lost all matches, so they have scored 1 point in each match.
- Let the three remaining teams be A, B, and C.
- Since each match results in a total of 5 points (3 for the winner and 1 for the loser), the total points scored in all matches = 5 * 4 = 20.
- Paraguay has won all matches, scoring 3 points in each match, so they have contributed 3 * 4 = 12 points.
- Turkey has lost all matches, scoring 1 point in each match, so they have contributed 1 * 4 = 4 points.
- The total points scored by the three remaining teams = 20 - 12 (Paraguay) - 4 (Turkey) = 4 points.
- Since the three remaining teams score equal points, let the points scored by each of them be x.
- Therefore, x + x + x = 4
- 3x = 4
- x = 4/3 = 1.33 (which is not possible as points can only be integers)
- So, the only possible way for the three remaining teams to have equal points is if each of them has scored 2 points in all their matches.
- Therefore, each of the three remaining teams has scored 2 points.

Final Answer:
- Each of the three remaining teams has scored 2 points. Option C is correct.
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DIRECTIONS for the question: Read the information given below and answer the question that follows.There are five teams - Paraguay, Qatar, Russia, Spain and Turkey playing in a tournament where each team plays against every other team only once. These are the following possibilities: each match can result in a draw where each team scores two points; or a team can win where it scores three points, while the losing team scores one point.Q. If Paraguay has won all the matches and Turkey has lost all the matches and all the remaining three teams score equal points, how many points have each of the three remaining teams scored?a)5b)7c)8d)6Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS for the question: Read the information given below and answer the question that follows.There are five teams - Paraguay, Qatar, Russia, Spain and Turkey playing in a tournament where each team plays against every other team only once. These are the following possibilities: each match can result in a draw where each team scores two points; or a team can win where it scores three points, while the losing team scores one point.Q. If Paraguay has won all the matches and Turkey has lost all the matches and all the remaining three teams score equal points, how many points have each of the three remaining teams scored?a)5b)7c)8d)6Correct answer is option 'C'. 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 DIRECTIONS for the question: Read the information given below and answer the question that follows.There are five teams - Paraguay, Qatar, Russia, Spain and Turkey playing in a tournament where each team plays against every other team only once. These are the following possibilities: each match can result in a draw where each team scores two points; or a team can win where it scores three points, while the losing team scores one point.Q. If Paraguay has won all the matches and Turkey has lost all the matches and all the remaining three teams score equal points, how many points have each of the three remaining teams scored?a)5b)7c)8d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question: Read the information given below and answer the question that follows.There are five teams - Paraguay, Qatar, Russia, Spain and Turkey playing in a tournament where each team plays against every other team only once. These are the following possibilities: each match can result in a draw where each team scores two points; or a team can win where it scores three points, while the losing team scores one point.Q. If Paraguay has won all the matches and Turkey has lost all the matches and all the remaining three teams score equal points, how many points have each of the three remaining teams scored?a)5b)7c)8d)6Correct answer is option 'C'. Can you explain this answer?.
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