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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?
  • a)
    P
  • b)
    R
  • c)
    S
  • d)
    T
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Eight players P, Q, R, S, T, U, V and W participated in the badminton ...
Following the final solution to the puzzle set we can say that T won the least number of matches after the first round.
Hence the correct answer is option (D.)
Common Explanation:
References:
V won both the matches against U.
Inference:
Studying the information carefully we can say that V and U were in the same group let's say that Group A and we also know Q,U,W,V were the four players who qualified for the semifinal so we can also say that Q and W were in second group let's say that Group B.
References:
Each player of each group had a different number of wins.
P and W won the same number of matches.
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.
Inference:
Using the given information we say that R and S belongs to Group B and P and T belongs to Group A its because P and w can't be in the same group and R and S must go together. As it is given that R won only against S so he has only one point.
Now, in a group each player had to play twice against each of the players. So the total number of matches that can be played in each group are equal to 12. And the winning combinations given that each player of group had a different number of wins can only be
A- (6 4 2 0 )
B- (6 3 2 1)
C- (5 4 2 1)
D-(5 4 3 0)
In all of the combinations only B and C can fit in Group B. But we know that W and P have the same number of wins so only combinations B and D fits into our requirements.
But U cannot have 5 wins in group A because he lost both of his matches to V.
Therefore the final scorecard is as follows.
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Most Upvoted Answer
Eight players P, Q, R, S, T, U, V and W participated in the badminton ...
Solution:

Given that eight players P, Q, R, S, T, U, V, and W participated in the badminton tournament.

Step 1: Formation of Groups

In the first round of the tournament, these eight players were divided into two groups of four players each.

Step 2: Matches in a Group

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.

Step 3: Qualification for Semifinal

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 semifinal.

Step 4: Analysis of Information

We have the following information from the question:

- 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 won 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.

Step 5: Finding the Number of Wins for Each Player

Let's assume the number of wins for each player in the first round as follows:

Group 1: P, Q, R, S
Group 2: T, U, V, W

Using the given information, we can fill in the following table:

| Player | Group | Wins | Losses |
|--------|-------|------|--------|
| P | 1 | | |
| Q | 1 | | |
| R | 1 | | |
| S | 1 | | |
| T | 2 | | |
| U | 2 | | |
| V | 2 | | |
| W | 2 | | |

We know that P and W won the same number of matches, and each player in a group had a different number of wins. Therefore, P and W each won one match, and Q, R, and S each won two matches in Group 1.

| Player | Group | Wins | Losses |
|--------|-------|------|--------|
| P | 1 | 1 | |
| Q | 1 | 2 | |
| R | 1 | 2 | |
| S | 1 | 2 | |
| T | 2 | | |
| U | 2 | | |
| V | 2 | | |
| W | 2 | 1 | |

We also know that R lost all of his matches against all the other players except S, who won at least one match against each of the other players except one. Therefore, R lost all three matches in Group 1, and S won three matches in Group 1 except the match against R.

| Player | Group | Wins | Losses |
|--------|-------|------|--------|
| P | 1 | 1 | |
| Q | 1 | 2 | |
|
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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?a)Pb)Rc)Sd)TCorrect answer is option 'D'. Can you explain this answer?
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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?a)Pb)Rc)Sd)TCorrect answer is option 'D'. 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 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?a)Pb)Rc)Sd)TCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)Pb)Rc)Sd)TCorrect answer is option 'D'. Can you explain this answer?.
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