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Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below:
- Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match.
- Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set.
- The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.
The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.
The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.
Q. What could be the possible score of the third set in the match between B and D?
- a)B-D: 21-16
- b)B-D: 21-18
- c)B-D: 21-17
- d)B-D: 21-14
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing ...
If we look at the points table carefully, we see that B scores 5 points, which is only possible with (1) 3+1+1 points or (2) 3+3-1 in 3 games.
CASE 1: B scores 3+1+1
So, he must have won all the three games he played and he won one game with a positive SD and won two games with a negative SD. B has a positive SD in the match between B and C, where he scored (21+18+21)= 60 points and conceded (17+21+15)= 53 points. Therefore in the match between B and A and in that between B and D, B won with negative point difference.
Also, we can see that in the match between A-D and C-D, the game ended in 2 sets with D and C winning respectively. Both won by positive SD.
So, we can fill the first table to some extent and it will look like:
Now, the points table reveal that C scored only 1 point in the entire match. With the help of the table shown above, C has already won 1 match with a positive SD and lost 1 against B with negative SD. Therefore, C must have scored 1 point with (3-1-1) points in three matches. Hence, C lost against A with a negative SD. The table will now look like:
Using this information, we can fill up the points table:
A won against C with positive SD (+3), lost against B with positive SD (0) and lost to D with negative SD (-1). Total points = 2.
D won against A with positive SD (3), lost to B with positive SD (0) and lost to C with negative SD (-1). Total points = 2.
There is a tie between A and D. In the match between A and D, D was the winner. So, the next round will be played between D and B.
So, he must have won all the three games he played and he won one game with a positive SD and won two games with a negative SD. B has a positive SD in the match between B and C, where he scored (21+18+21)= 60 points and conceded (17+21+15)= 53 points. Therefore in the match between B and A and in that between B and D, B won with negative point difference.
Also, we can see that in the match between A-D and C-D, the game ended in 2 sets with D and C winning respectively. Both won by positive SD.
So, we can fill the first table to some extent and it will look like:
Now, the points table reveal that C scored only 1 point in the entire match. With the help of the table shown above, C has already won 1 match with a positive SD and lost 1 against B with negative SD. Therefore, C must have scored 1 point with (3-1-1) points in three matches. Hence, C lost against A with a negative SD. The table will now look like:
Using this information, we can fill up the points table:
A won against C with positive SD (+3), lost against B with positive SD (0) and lost to D with negative SD (-1). Total points = 2.
D won against A with positive SD (3), lost to B with positive SD (0) and lost to C with negative SD (-1). Total points = 2.
There is a tie between A and D. In the match between A and D, D was the winner. So, the next round will be played between D and B.
CASE 2: B scores 3+3-1-
B wins only two games but with positive SD, which is possible only in the matches between A-B and B-C. Therefore, the match between B-D will be won by D with a positive SD, such that B gets -1.
In the match between A-D, D has already won with positive SD and in the match between C-D, C won with a positive SD.
So, C scores -1 in the match B-C, and 3 in the match C-D. Therefore, C scores -1 in the match A-C so that the total points scored by C becomes 1 and hence we get the table above.
The points scored by all the four players thus becomes:
B wins only two games but with positive SD, which is possible only in the matches between A-B and B-C. Therefore, the match between B-D will be won by D with a positive SD, such that B gets -1.
In the match between A-D, D has already won with positive SD and in the match between C-D, C won with a positive SD.
So, C scores -1 in the match B-C, and 3 in the match C-D. Therefore, C scores -1 in the match A-C so that the total points scored by C becomes 1 and hence we get the table above.
The points scored by all the four players thus becomes:
Case 3- B scores 3+3-1: B scores 3 points with SD=0 in the match A-B.
In the match A-B, A gets 0 and B scores 3 points.
In A-C, A scores 3 and C scores -1.
In A-D, D scores 3 and A scores -1.
In B-C, B scores 3 and C scores -1.
In B-D, B scores -1 and D scores 3.
And in C-D, C scores 3 and D scores -1.
The points scored by all the four players thus becomes:
In A-C, A scores 3 and C scores -1.
In A-D, D scores 3 and A scores -1.
In B-C, B scores 3 and C scores -1.
In B-D, B scores -1 and D scores 3.
And in C-D, C scores 3 and D scores -1.
The points scored by all the four players thus becomes:
In the options, we know that B wins the third set, hence we will look only at case 1.
Now, in the match between B and D, we found that B won the match but with a negative SD. To win the match, B has to score more than D in the third set. But to have a negative SD, the sum total of B's points must be less than that of D's.
Let the score be b-d in third set, 'b' scored by B and 'd' scored by D.
So, 10+21+b<21+14+d
⇒ b<d+4
⇒ b-d<4.
Only option B shows the score which satisfies this equation.
Now, in the match between B and D, we found that B won the match but with a negative SD. To win the match, B has to score more than D in the third set. But to have a negative SD, the sum total of B's points must be less than that of D's.
Let the score be b-d in third set, 'b' scored by B and 'd' scored by D.
So, 10+21+b<21+14+d
⇒ b<d+4
⇒ b-d<4.
Only option B shows the score which satisfies this equation.
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Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer?
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Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer?.
Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer?.
Solutions for Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below: Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.Q.What could be the possible score of the third set in the match between B and D?a)B-D: 21-16b)B-D: 21-18c)B-D: 21-17d)B-D: 21-14Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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