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Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, if
- a)A select 8 to begin with
- b)A select 2 to begin with
- c)A selects any number greater than 5
- d)None of the above
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Two players A and B play the following game, A selects an integer fro...
To determine the correct answer, let's analyze the game for each scenario:
a) A selects 8 to begin with:
In this case, B can choose any number from 1 to 10 to add to A's selection. The worst-case scenario for A would be if B consistently selects the number 10. In this case, the game would progress as follows:
A selects 8
B selects 10
A selects 18
B selects 10
A selects 28
B selects 10
A selects 38
B selects 10
A selects 48
Since A reaches 46 before B, A wins the game. Therefore, A can win the game if they select 8 to begin with.
b) A selects 2 to begin with:
In this case, B can again choose any number from 1 to 10 to add to A's selection. The worst-case scenario for A would be if B consistently selects the number 10. In this case, the game would progress as follows:
A selects 2
B selects 10
A selects 12
B selects 10
A selects 22
B selects 10
A selects 32
B selects 10
A selects 42
B selects 10
A selects 52
Since A reaches 46 before B, A wins the game. Therefore, A can win the game if they select 2 to begin with.
c) A selects any number greater than 5:
In this case, B can choose any number from 1 to 10 to add to A's selection. However, even if B consistently chooses the number 1, A will never be able to reach 46 before B. This is because A's selection is already greater than 5, and even with adding 10 in each turn, A's number will always remain less than 46. Therefore, A cannot win the game if they select any number greater than 5 to begin with.
d) None of the above:
Since options a) and b) show that A can win the game, and option c) states that A cannot win the game, the correct answer is option d) None of the above.
a) A selects 8 to begin with:
In this case, B can choose any number from 1 to 10 to add to A's selection. The worst-case scenario for A would be if B consistently selects the number 10. In this case, the game would progress as follows:
A selects 8
B selects 10
A selects 18
B selects 10
A selects 28
B selects 10
A selects 38
B selects 10
A selects 48
Since A reaches 46 before B, A wins the game. Therefore, A can win the game if they select 8 to begin with.
b) A selects 2 to begin with:
In this case, B can again choose any number from 1 to 10 to add to A's selection. The worst-case scenario for A would be if B consistently selects the number 10. In this case, the game would progress as follows:
A selects 2
B selects 10
A selects 12
B selects 10
A selects 22
B selects 10
A selects 32
B selects 10
A selects 42
B selects 10
A selects 52
Since A reaches 46 before B, A wins the game. Therefore, A can win the game if they select 2 to begin with.
c) A selects any number greater than 5:
In this case, B can choose any number from 1 to 10 to add to A's selection. However, even if B consistently chooses the number 1, A will never be able to reach 46 before B. This is because A's selection is already greater than 5, and even with adding 10 in each turn, A's number will always remain less than 46. Therefore, A cannot win the game if they select any number greater than 5 to begin with.
d) None of the above:
Since options a) and b) show that A can win the game, and option c) states that A cannot win the game, the correct answer is option d) None of the above.
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Community Answer
Two players A and B play the following game, A selects an integer fro...
No one option is correct.
Hence option d is correct
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Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
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Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two players A and B play the following game, A selects an integer from 1 to 10, inclusive of both. B then adds any positive integer from 1 to 10, both inclusive, to the number selected by A. The player who reaches 46 first wins the game. If the game is played properly, A may win the game, ifa)A select 8 to begin withb)A select 2 to begin withc)A selects any number greater than 5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
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