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Instructions : 
Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.
a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.
b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.
c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.
d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.
e) The game ends when one of the teams pockets all their coins. The points are calculated as follows.  No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.
Find the sum of all possible points that a team can score.
  • a)
    230
  • b)
    196
  • c)
    256
  • d)
    212
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Instructions :Consider 4 players A,B,C,D are playing a carrom match. T...
We consider all scores possible for Team A where the opponent is Team B.
Case 1: Red is pocketed by Team B
In such a case where the opponent has pocketed the red, then he must have taken at least one of his coins. Thus, the opposition team can have from 0 coins to 8 coins on board. 
Therefore, all the possible scores of Team A are 0,2,4,6,......16. 
Sum of this series = 2*(1+2+.. 8)= 2*36 = 72 points
Case 2: Red is pocketed by Team A
In this case, 0 to 9 coins of Team B can be on the board.
As the red is pocketed, then 5 points are added to each of the above scores. Hence, now, the possible scores are 5+2*0, 5+2*1 ... 5+2*9 = 5,7,9,......23 points. Sum of this series = 5*10 + 2*(1+2+...+9) = 50+90 = 140
The total is 72 + 140 = 212 points.
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Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match. A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively. When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn. Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board. When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre. The game ends when one of the teams pockets all their coins. The points are calculated as follows.No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Q.Find the sum of all possible points that a team can score.

Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match. A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively. When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn. Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board. When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre. The game ends when one of the teams pockets all their coins. The points are calculated as follows.No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Q.If a white coin is the last coin to be pocketed in the game but Black wins and k is the difference between the points of white team and black team, find the number of possible values for k?

Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match. A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively. When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn. Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board. When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre. The game ends when one of the teams pockets all their coins. The points are calculated as follows.No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Q.Consider the case when 6 White coins have been pocketed at the end of the first round. (All players have had one turn each). What is the maximum number of coins that D could have pocketed in the first round, if the game does not end in the first round ? Correct answer is '10'. Can you explain this answer?

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Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer?
Question Description
Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer?.
Solutions for Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.e) The game ends when one of the teams pockets all their coins. The points are calculated as follows. No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Find the sum of all possible points that a team can score.a)230b)196c)256d)212Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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