JEE Exam > JEE Questions > There were two women participating in a ches...
Start Learning for Free
There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.
- a)6
- b)11
- c)13
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
There were two women participating in a chess tournament. Every parti...
Let number of men be n
Number of games between males = 2(nC2)
Number of games between players of opposite sex = 2(n x 2) = 4n
By the given condition 2.nC2 - 4n = 66
(∵ n = -6 is impossible)
Therefor number of participants = 11 + 2 = 13
Free Test
FREE
| Start Free Test |
Community Answer
There were two women participating in a chess tournament. Every parti...
Let's assume the number of participants in the tournament is 'n'.
- Number of games played by men with each other: We know that every participant played two games with the other participants. Since there are 'n' participants, the total number of games played by the men with each other would be (n/2) * 2 = n.
- Number of games played by men with women: Since there are 'n' participants and two of them are women, the number of games played by the men with women would be n - 2.
According to the given information, the number of games played by the men between themselves exceeds the number of games played by the men with the women by 66.
Therefore, we can write the equation as follows:
n = (n - 2) + 66
Simplifying the equation, we get:
n = n - 2 + 66
n = n + 64
This equation is not possible because it leads to a contradiction. It implies that 64 is equal to 0, which is not true.
Hence, there is no solution to the given equation.
Therefore, the correct answer is option 'D' (None of these).
- Number of games played by men with each other: We know that every participant played two games with the other participants. Since there are 'n' participants, the total number of games played by the men with each other would be (n/2) * 2 = n.
- Number of games played by men with women: Since there are 'n' participants and two of them are women, the number of games played by the men with women would be n - 2.
According to the given information, the number of games played by the men between themselves exceeds the number of games played by the men with the women by 66.
Therefore, we can write the equation as follows:
n = (n - 2) + 66
Simplifying the equation, we get:
n = n - 2 + 66
n = n + 64
This equation is not possible because it leads to a contradiction. It implies that 64 is equal to 0, which is not true.
Hence, there is no solution to the given equation.
Therefore, the correct answer is option 'D' (None of these).
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. 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 There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. 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 There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.a)6b)11c)13d)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup