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Directions: Read the information given below and answer the question that follows.
Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.
It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.
Q. Which of the following cannot be the sum of amount with any three players out of total five?
  • a)
    $20
  • b)
    $15
  • c)
    $10
  • d)
    $5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: Read the information given below and answer the question t...
Understanding the Game Context
- Five players: Jack, Will, Luke, Benjamin, and Franklin.
- Each player starts with the same amount of money.
- Total dollar sum at the end is zero, meaning total gains equal total losses.
Key Game Rules
- Each player has a unique outcome in terms of money.
- The sum of the dollars of all players is zero.
- The first player to roll the slot machine had the least dollars.
Analyzing Possible Sums
- Since the total sum of dollars is zero, players can have both positive and negative amounts.
- The possible combinations must consider that one player's loss must correspond to another's gain.
Exploring the Options
- Option a) $20:
- For three players to have a sum of $20, at least one player must have a positive amount significantly higher than $10.
- Given that the total is zero, this means at least one player must have an equal or greater negative amount, leading to a contradiction, as three players having a total of $20 would make it impossible to balance with the remaining two players.
- Option b) $15, c) $10, and d) $5:
- These amounts can be achieved with various combinations of positive and negative balances among three players while ensuring that the total remains zero.
- Example: One player can have +10, another -5, and another -5, leading to a total of $0 for the remaining two players.
Conclusion
- The impossibility of having three players sum to $20 while maintaining the zero-sum condition makes option a) $20 the correct answer.
- This ensures that any three players cannot total to $20, as it violates the game's fundamental balance.
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Community Answer
Directions: Read the information given below and answer the question t...
It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

$15 = Franklin($10) + Jake($5) + Benjamin($0)
$5 = Franklin($10) +Jake($5) + Luke(-$10)
$10 = Franklin($10) + Jake($5) + Will(-$5)
Sum $20 is not possible from any three combinations of the given five players.
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Question Description
Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer? for CAT 2026 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. 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 Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Read the information given below and answer the question that follows.Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.(vi) Jack was further ahead in the queue at the end of the game than at the beginning.Q.Which of the following cannot be the sum of amount with any three players out of total five?a)$20b)$15c)$10d)$5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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