Home
Class 12
MATHS
There are m men and two women participat...

There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then teh value of m is

A

12

B

9

C

7

D

11

Text Solution

Verified by Experts

The correct Answer is:
A
For each of the m men game played will be (m-1), so total game between 2 mens will be (m)(m-1) also for each women game played with men will be 2m, so total matches will be 2.2m. Acc to question.
(m)(m-1) = 2.2m + 84
`m^(2) - m = 4m + 84`
`m^(2) - 12m + 7m - 84 = 0`
`(m+7)(m-12) = 0`
`m = -7 xx m = 12`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST - 7|JEE - 2020

    VMC MODULES ENGLISH|Exercise Mathematics (Section - 2) Numercial type questions|5 Videos

  • JEE MAIN REVISION TEST - 4 JEE - 2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • JEE MAIN REVISION TEST -14

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

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

There are 2 women participating in a chess tournament. Every participant played 2 games with the other participants. The number of games that the men played between themselves exceeded by 66 as compared to the number of games that the men played with women. If the number of participants is n , then the value of n-6 is ______.

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 among themselves proved to exceed by 66 number of games that the men played with the women. The number of participants is a. 6 b. 11 c. 13 d. none of these

If in a chess tournament each contestant plays once against each of the other and in all 45 games are played, then the number of participants, is

In a class tournament where the participants were to play one game with one another, two of the class players fell ill, having played 3 games each. If the total number of games played is 24, then the number of participants at the beginning was

In a badminton each player played one game with ll the other players. Number of players participated in the tournament if they played 105 games is

In a class tournament, all participants were to plan different game with one another. Two players fell ill after having played three games each. If the total number of games played in the tournament is equal to 84, the total number of participants in the beginning was equal to a. 10 b. 15 c. 12 d. 14

If the A.M. between two numbers exceeds their G.M. by 2 and the GM. Exceeds their H.M. by 8/5, find the numbers.

The ratio between the number of men and women in an office is 5: 7. If the number of women working in the office is 42, find the number of men working in the office.

Four men and six women are to be seated along a round table. The number of cases where every two men are separated by to women is