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Directions: Answer the question on the basis of the information given below.
In an inter-school quiz contest, teams A, B and C reached the finals. In the final, each team was asked 4 questions, followed by the next team. When all the teams had finished one such round, the process was repeated. If a team answered a question correctly, then the team was awarded 20 points, and if a team answered incorrectly, the other teams were awarded 10 points each. The first team to score 500 points won the competition. In the contest, the final scores were: A = 500, B = 340, and C = 240. If out of a total of 54 questions asked, 37 were answered correctly, then answer the following question:
Q. The first round was started by team
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Answer the question on the basis of the information given ...
Answer:
Given information:
- Each team was asked 4 questions in each round.
- A team gets 20 points for a correct answer and the other teams get 10 points each for an incorrect answer.
- The first team to score 500 points wins the competition.
- Out of 54 questions asked, 37 were answered correctly.
- Final scores: A = 500, B = 340, C = 240.

Calculating the total number of rounds:
To calculate the total number of rounds, we divide the total number of questions by the number of questions asked in each round.
Total questions = 54
Questions asked in each round = 3 teams * 4 questions = 12 questions
Total rounds = Total questions / Questions asked in each round = 54 / 12 = 4.5 rounds

Since the number of rounds cannot be a decimal, we can conclude that there were a total of 4 rounds.

Calculating the number of correct and incorrect answers in each round:
In each round, each team answers 4 questions. So, in 4 rounds, each team answers a total of 4 * 4 = 16 questions.
Total questions answered correctly = 37
Total questions answered incorrectly = Total questions - Total questions answered correctly = 54 - 37 = 17

In each round, if a team answers a question correctly, they get 20 points and if they answer incorrectly, the other teams get 10 points each. Therefore, we can calculate the number of points gained by each team in each round:

Points gained by A in each round = 20 * Number of correct answers by A in that round
Points gained by B in each round = 20 * Number of correct answers by B in that round + 10 * Number of incorrect answers by A in that round
Points gained by C in each round = 20 * Number of correct answers by C in that round + 10 * Number of incorrect answers by A and B in that round

Calculating the starting team:
To determine the starting team, we need to find the team that started the first round.

From the given information, we know that Team A scored 500 points and won the competition. This means that Team A reached 500 points before Teams B and C.
Since each team scored points in each round, we can conclude that Team A must have scored points in the first round as well.
Therefore, the first round was started by Team A.
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Community Answer
Directions: Answer the question on the basis of the information given ...
There were three teams A, B and C taking part in the quiz. Each team was asked 4 questions before the next team got his chance. Thus, a round was completed after 12 questions. A total of 54 questions were asked, out of which 37 were answered correctly and 17 incorrectly. This means that the first team was asked (4 × 4 + 4) 20 questions and the next team got (4 × 4 + 2) 18 questions and the third got 16 questions.
Scores of teams were as follows: A = 500, B = 340, C = 240
Suppose team A got X questions (X can be 20,18 or 16), out of which team A gave 'a' answers correctly and X - a
incorrectly. Total incorrect answers were 17.
a × 20 + ( 17 - (X - a)) × 10 = 500
a = (33 + X)/3
As a is an integer, so X should be divisible by 3, i.e X should be 18. This means Team A faced a total of 18 questions.
a = (33 + 18) /3 = 17
Similarly, for teams B and C, we get

Since team C faced the maximum number of questions, i.e. 20, the round of questions began with it.
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Directions: Answer the question on the basis of the information given below.In an inter-school quiz contest, teams A, B and C reached the finals. In the final, each team was asked 4 questions, followed by the next team. When all the teams had finished one such round, the process was repeated. If a team answered a question correctly, then the team was awarded 20 points, and if a team answered incorrectly, the other teams were awarded 10 points each. The first team to score 500 points won the competition. In the contest, the final scores were: A = 500, B = 340, and C = 240. If out of a total of 54 questions asked, 37 were answered correctly, then answer the following question:Q.The first round was started by teama)Ab)Bc)Cd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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Directions: Answer the question on the basis of the information given below.In an inter-school quiz contest, teams A, B and C reached the finals. In the final, each team was asked 4 questions, followed by the next team. When all the teams had finished one such round, the process was repeated. If a team answered a question correctly, then the team was awarded 20 points, and if a team answered incorrectly, the other teams were awarded 10 points each. The first team to score 500 points won the competition. In the contest, the final scores were: A = 500, B = 340, and C = 240. If out of a total of 54 questions asked, 37 were answered correctly, then answer the following question:Q.The first round was started by teama)Ab)Bc)Cd)Cannot be determinedCorrect 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: Answer the question on the basis of the information given below.In an inter-school quiz contest, teams A, B and C reached the finals. In the final, each team was asked 4 questions, followed by the next team. When all the teams had finished one such round, the process was repeated. If a team answered a question correctly, then the team was awarded 20 points, and if a team answered incorrectly, the other teams were awarded 10 points each. The first team to score 500 points won the competition. In the contest, the final scores were: A = 500, B = 340, and C = 240. If out of a total of 54 questions asked, 37 were answered correctly, then answer the following question:Q.The first round was started by teama)Ab)Bc)Cd)Cannot be determinedCorrect 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: Answer the question on the basis of the information given below.In an inter-school quiz contest, teams A, B and C reached the finals. In the final, each team was asked 4 questions, followed by the next team. When all the teams had finished one such round, the process was repeated. If a team answered a question correctly, then the team was awarded 20 points, and if a team answered incorrectly, the other teams were awarded 10 points each. The first team to score 500 points won the competition. In the contest, the final scores were: A = 500, B = 340, and C = 240. If out of a total of 54 questions asked, 37 were answered correctly, then answer the following question:Q.The first round was started by teama)Ab)Bc)Cd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
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