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Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :
- a)(14, 17)
- b)[8, 9]
- c)(11, 13]
- d)[10, 12)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two women and some men participated in a chess tournament in which eve...
Let n men participated
n2 – 5n – 66 = 0
n = 11, (not possible)
which lies in [10, 12]
n2 – 5n – 66 = 0
n = 11, (not possible)
which lies in [10, 12]
Most Upvoted Answer
Two women and some men participated in a chess tournament in which eve...
Problem Analysis:
Let's assume there are n men participating in the tournament.
Given:
- Each participant plays two games with each of the other participants.
- The number of games that the men played between themselves exceeds the number of games that the men played with the women by 66.
Solution:
Let's calculate the total number of games played in two different scenarios:
1. When the number of men is minimum (to get the lower bound of the answer)
2. When the number of men is maximum (to get the upper bound of the answer)
Case 1: Minimum number of men
Let's assume there are only two men (n=2) participating in the tournament. In this case, the total number of games played between the men would be 2C2 = 1.
The number of games played by the men with the women would be 2C1 = 2.
Since the number of games played between the men exceeds the number of games played with the women by 66, the total number of games played between the men would be 2 + 66 = 68.
Case 2: Maximum number of men
Let's assume there are 100 men (n=100) participating in the tournament. In this case, the total number of games played between the men would be 100C2 = 4950.
The number of games played by the men with the women would be 100C1 = 100.
Since the number of games played between the men exceeds the number of games played with the women by 66, the total number of games played between the men would be 4950 + 66 = 5016.
Conclusion:
Based on the above two cases, we can conclude that the number of men who participated in the tournament lies in the interval [68, 5016].
Now, let's find the range of values for n (number of men) within this interval.
In the given options, only option D ([10, 12)) satisfies the condition.
Let's assume there are n men participating in the tournament.
Given:
- Each participant plays two games with each of the other participants.
- The number of games that the men played between themselves exceeds the number of games that the men played with the women by 66.
Solution:
Let's calculate the total number of games played in two different scenarios:
1. When the number of men is minimum (to get the lower bound of the answer)
2. When the number of men is maximum (to get the upper bound of the answer)
Case 1: Minimum number of men
Let's assume there are only two men (n=2) participating in the tournament. In this case, the total number of games played between the men would be 2C2 = 1.
The number of games played by the men with the women would be 2C1 = 2.
Since the number of games played between the men exceeds the number of games played with the women by 66, the total number of games played between the men would be 2 + 66 = 68.
Case 2: Maximum number of men
Let's assume there are 100 men (n=100) participating in the tournament. In this case, the total number of games played between the men would be 100C2 = 4950.
The number of games played by the men with the women would be 100C1 = 100.
Since the number of games played between the men exceeds the number of games played with the women by 66, the total number of games played between the men would be 4950 + 66 = 5016.
Conclusion:
Based on the above two cases, we can conclude that the number of men who participated in the tournament lies in the interval [68, 5016].
Now, let's find the range of values for n (number of men) within this interval.
In the given options, only option D ([10, 12)) satisfies the condition.
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Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer?
Question Description
Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer?.
Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer?.
Solutions for Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by 66, then the number of men who participated in the tournament lies in the interval :a)(14, 17)b)[8, 9]c)(11, 13]d)[10, 12)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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