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Ladrags India is conducting its beauty contest for women at Malabar Hills. It has several rounds for Preliminary selection of candidates. All candidates participate in all the rounds and are marked out of 100 in each round. After all the rounds, the candidates are divided into 3 categories depending on their average scores. A candidate is said to be in “AAA” category if the average of her scores is between 90 and 95(both inclusive). Category “BBB” has candidates whose average lies between 84 and 89(both inclusive). If the average is below 84 the candidate is classified under “CCC” category. Richa is preparing for the last round and she realizes that she must score a minimum of 96 to get “AAA” category. However, after the round, she realizes that she will score 54 and will just manage “BBB” category. How many rounds did Richa participate in before the last round?
  • a)
    7
  • b)
    8
  • c)
    9
  • d)
    6
  • e)
    5
Correct answer is option 'D'. Can you explain this answer?
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Ladrags India is conducting its beauty contest for women at Malabar Hi...
Solution: Let the total number of rounds in the contest be n.
Let Richa’s score till the 2nd last round be x. To get “AAA” category, she has to score a minimum of 96 in the last round.
So, to get an average of 90, she has to score a minimum of 96 in the last round. 
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Most Upvoted Answer
Ladrags India is conducting its beauty contest for women at Malabar Hi...
Given:
- Richa's score in the last round is 54.
- Richa will be classified under BBB category.
- AAA category requires a minimum score of 96.

To find:
- The number of rounds Richa participated in before the last round.

Approach:
- Since Richa's average score is in the BBB category, we need to find the average score of all the rounds.
- We know that the average score of all the rounds is between 84 and 89 (both inclusive).
- We also know that Richa's score in the last round is 54, which is below the average score of 84.

Solution:
- Let's assume Richa participated in 'n' rounds before the last round.
- The total score of Richa in all the rounds except the last round would be (n-1) * average score.
- The total score of Richa in all the rounds including the last round would be n * average score.
- Since Richa's average score is below 84, her total score in all the rounds including the last round would be less than 84n.
- But we know that Richa's score in the last round is 54, which is greater than or equal to 84n.
- Therefore, 54 ≥ 84n.

Calculation:
- The maximum value of n that satisfies the inequality 54 ≥ 84n is n = 0.6429 (approx).
- Since the number of rounds cannot be a fraction, the maximum value of n is 0.
- Therefore, Richa did not participate in any rounds before the last round.
- Hence, the answer is 0.

Conclusion:
- Richa did not participate in any rounds before the last round.
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Ladrags India is conducting its beauty contest for women at Malabar Hills. It has several rounds for Preliminary selection of candidates. All candidates participate in all the rounds and are marked out of 100 in each round. After all the rounds, the candidates are divided into 3 categories depending on their average scores. A candidate is said to be in AAA category if the average of her scores is between 90 and 95(both inclusive). Category BBB has candidates whose average lies between 84 and 89(both inclusive). If the average is below 84 the candidate is classified under CCC category. Richa is preparing for the last round and she realizes that she must score a minimum of 96 to get AAA category. However, after the round, she realizes that she will score 54 and will just manage BBB category. How many rounds did Richa participate in before the last round?a)7b)8c)9d)6e)5Correct answer is option 'D'. Can you explain this answer?
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Ladrags India is conducting its beauty contest for women at Malabar Hills. It has several rounds for Preliminary selection of candidates. All candidates participate in all the rounds and are marked out of 100 in each round. After all the rounds, the candidates are divided into 3 categories depending on their average scores. A candidate is said to be in AAA category if the average of her scores is between 90 and 95(both inclusive). Category BBB has candidates whose average lies between 84 and 89(both inclusive). If the average is below 84 the candidate is classified under CCC category. Richa is preparing for the last round and she realizes that she must score a minimum of 96 to get AAA category. However, after the round, she realizes that she will score 54 and will just manage BBB category. How many rounds did Richa participate in before the last round?a)7b)8c)9d)6e)5Correct answer is option 'D'. 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 Ladrags India is conducting its beauty contest for women at Malabar Hills. It has several rounds for Preliminary selection of candidates. All candidates participate in all the rounds and are marked out of 100 in each round. After all the rounds, the candidates are divided into 3 categories depending on their average scores. A candidate is said to be in AAA category if the average of her scores is between 90 and 95(both inclusive). Category BBB has candidates whose average lies between 84 and 89(both inclusive). If the average is below 84 the candidate is classified under CCC category. Richa is preparing for the last round and she realizes that she must score a minimum of 96 to get AAA category. However, after the round, she realizes that she will score 54 and will just manage BBB category. How many rounds did Richa participate in before the last round?a)7b)8c)9d)6e)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ladrags India is conducting its beauty contest for women at Malabar Hills. It has several rounds for Preliminary selection of candidates. All candidates participate in all the rounds and are marked out of 100 in each round. After all the rounds, the candidates are divided into 3 categories depending on their average scores. A candidate is said to be in AAA category if the average of her scores is between 90 and 95(both inclusive). Category BBB has candidates whose average lies between 84 and 89(both inclusive). If the average is below 84 the candidate is classified under CCC category. Richa is preparing for the last round and she realizes that she must score a minimum of 96 to get AAA category. However, after the round, she realizes that she will score 54 and will just manage BBB category. How many rounds did Richa participate in before the last round?a)7b)8c)9d)6e)5Correct answer is option 'D'. Can you explain this answer?.
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