All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CLAT Exam  >  CLAT Questions  >   Ten teams participated in a hockey tournamen... Start Learning for Free
SaveJoin the Discussion on the App
Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.
If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?
  • a)
    5
  • b)
    6
  • c)
    7
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Most Upvoted Answer
Ten teams participated in a hockey tournament, in which every team pl...
To solve this problem, we can start by finding the total number of matches played in the tournament and then use that information to determine the number of matches each team in group A won.

Number of teams: 10
Number of matches played between the teams: C(10, 2) = 45 matches

Let's assume that each team in group A won 'x' matches against the teams in group B. Since group A won the same number of matches against group B, the total number of matches won by group A can be calculated as 2 * 9 * x (since there are 2 groups and 9 teams in each group except their own team).

Total number of matches won by group A = 2 * 9 * x = 18x

Since there were 10 matches played among the teams in group B, we can write an equation based on the number of matches played:

Total number of matches played in group B = Number of matches won by group B + Number of matches lost by group B
10 = 10 + Number of matches lost by group B

Number of matches lost by group B = 0

Since each team in group B lost all their matches, it means that each team in group A won all their matches against group B.

Now, we can calculate the number of matches won by each team in group A:

Total number of matches won by group A = 18x

Since there are 9 teams in group A, we can write an equation based on the total number of matches played and the number of matches won by group A:

45 matches = 18x + Number of matches won by each team in group A

Since every team in group A won the same number of matches, we can assume that each team won 'y' matches against group B.

Number of matches won by each team in group A = 9y

Now, we can substitute this value in the equation:

45 matches = 18x + 9y

To find the values of x and y, we can try different combinations. Let's start with x = 1 and y = 5:

45 matches = 18 * 1 + 9 * 5
45 matches = 18 + 45
45 matches = 63

Since this combination doesn't satisfy the equation, let's try x = 2 and y = 3:

45 matches = 18 * 2 + 9 * 3
45 matches = 36 + 27
45 matches = 63

This combination satisfies the equation, so each team in group A won 3 matches against group B. Therefore, the answer is option C) 7.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Ten teams participated in a hockey tournament, in which every team pl...
If there were p teams in B, number of matches played within B = p (p - 1)/2 = 10
∴ p = 5
So, there are 5 teams in A and the number of matches played within A is 5C2 i.e., 10, of which each team won 2. Since each team in A won the 5 matches against teams in B, each team in A won 7 matches.
Attention CLAT Students!
To make sure you are not studying endlessly, EduRev has designed CLAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CLAT.
< Previous Question Next Question >
Explore Courses for CLAT exam

Similar CLAT Doubts

Eight players P, Q, R, S, T, U, V and W participated in the badminton tournament. In the first round of the tournament these eight players were divided into two groups of four players each. In a group each player had to play twice against each of the other players. Every match had a decisive result, i.e. no match ended in a tie. The player with the highest and second highest number of wins in both the groups reached the semifinal. Q, U, W, V were the four players who qualified for the semi final.]It is also known that in the first round:Each player of each group had a different number of wins.R lost all of his matches against all the other players except S, who at least one match against each of the other players except one.V won both the matches against U.P and W won the same number of matches.Q. Who won the least number of matches after the first round?

Directions: Answer the given question based on the following data.There were five teams in a hockey tournament: Delhi Daredevils, Chennai Superkings, Mumbai Indians, Kolkata Knight Riders and Kings Eleven Punjab. The tournament was played as a round robin league where each team played with other teams exactly twice on a home and away basis. The following table gives the information about the results of the matches in the first leg of the tournament:Here, Chennai Superkings 4-2 means Chennai Superkings scored 4 goals and the other team scored 2 goals.The winning team gets 3 points and if the game is a draw, then both the teams get 1 point each. Losing team does not get any point. The team with highest number of points at the end of the tournament wins the cup.Team performance ratio is defined as the ratio of the number of goals for to the number of goals against. Lesser the performance ratio, lower is the performance.Q.The only match that Delhi Daredevils had drawn was with

Directions: Answer the given question based on the following data.There were five teams in a hockey tournament: Delhi Daredevils, Chennai Superkings, Mumbai Indians, Kolkata Knight Riders and Kings Eleven Punjab. The tournament was played as a round robin league where each team played with other teams exactly twice on a home and away basis. The following table gives the information about the results of the matches in the first leg of the tournament:Here, Chennai Superkings 4-2 means Chennai Superkings scored 4 goals and the other team scored 2 goals.The winning team gets 3 points and if the game is a draw, then both the teams get 1 point each. Losing team does not get any point. The team with highest number of points at the end of the tournament wins the cup.Team performance ratio is defined as the ratio of the number of goals for to the number of goals against. Lesser the performance ratio, lower is the performance.Q.The only match which KEP lost was with

Directions: Answer the given question based on the following data.There were five teams in a hockey tournament: Delhi Daredevils, Chennai Superkings, Mumbai Indians, Kolkata Knight Riders and Kings Eleven Punjab. The tournament was played as a round robin league where each team played with other teams exactly twice on a home and away basis. The following table gives the information about the results of the matches in the first leg of the tournament:Here, Chennai Superkings 4-2 means Chennai Superkings scored 4 goals and the other team scored 2 goals.The winning team gets 3 points and if the game is a draw, then both the teams get 1 point each. Losing team does not get any point. The team with highest number of points at the end of the tournament wins the cup.Team performance ratio is defined as the ratio of the number of goals for to the number of goals against. Lesser the performance ratio, lower is the performance.Q.What is the difference in the performance ratio between the highest and the lowest performance? Correct answer is '2'. Can you explain this answer?

Top Courses for CLATView all

Top Courses for CLAT

Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions for Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Ten teams participated in a hockey tournament, in which every team played every other team once. After the tournament was over, it was found that the ten teams could be divided into 2 groups A and B, such that every team in A won against every team in B and every team in A won the same number of matches.If there were altogether 10 matches played among the teams of B, how many matches did each team in A win?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CLAT tests.
Explore Courses for CLAT exam

Top Courses for CLAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup