DIRECTIONS for questions: Answer these questions on the basis of the information given below. Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer?

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DIRECTIONS for questions: Answer these questions on the basis of the information given below.

Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:

i. The person who picks the last coin is the winner of that game and hence gets two points.

ii. The person whose turn is next to the winner of that game gets one point.

iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.

B and C are friends and hence they want one of them to be the winner (without considering their individual points).

Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?

a)
5
b)
4
c)
3
d)
2

Correct answer is option 'C'. Can you explain this answer?

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DIRECTIONS for questions: Answer these questions on the basis of the ...

Each person wants to win, and if it is not possible, he wants the person next to him to lose i.e., the person before him should win.

If there are 3 coins at the beginning, even if A picks one or two coins, B will definitely win.

If there are 4 coins, A picks only one coin such that B does not win. And hence A gets one point and C gets two points.

If there are 5 coins, A picks one coin and hence B picks one coin such that he gets one point as in previous case (where A gets one point). Now A gets two points.

If there are 6 coins, A picks two coins and wins as in the previous case. If there are 7 coins, even if A picks one or two coins, B will definitely win.

If there are 8 coins, A picks up one coin so that B cannot win and C wins. Hence A gets one point. If there are 9 coins, A picks up one coin and B also picks up one coin (for C must not be the winner). So, C is left with 7 coins in which case A wins.

If these are 10 coins, A picks up two coins and hence he wins (as in the previous case). We can generalize this as follows (for n = 1,2, - - -)

As A cannot win, he has to make sure that C wins and thereby he gets a point. C can win all the three games and hence A can get 3 points.

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DIRECTIONS for questions: Answer these questions on the basis of the ...

Understanding the Game Dynamics
In this game involving A, B, and C, the players take turns picking either one or two coins, starting with A. The aim is to win by picking the last coin while maximizing individual points based on their positions relative to the winner.

Game Analysis for Each Primary Count
1. **Primary Count = 4**
- A can pick 1 coin (3 left) or 2 coins (2 left).
- If A picks 1 (3 left), B can pick 2 (1 left), and then C picks the last coin and wins, scoring 2 points. A would get 0 points, and B would get 1.
- If A picks 2 (2 left), B picks 1 (1 left), and C picks the last coin, winning. A gets 0, B gets 1.
- **Total for A: 0 points**
2. **Primary Count = 5**
- A can pick 1 (4 left) or 2 (3 left).
- If A picks 1 (4 left), B can pick 2 (2 left), leaving C to pick the last coin. A gets 0, B gets 1.
- If A picks 2 (3 left), B can pick 1 (2 left), allowing C to win again. A gets 0, B gets 1.
- **Total for A: 0 points**
3. **Primary Count = 6**
- A can pick 1 (5 left) or 2 (4 left).
- If A picks 1 (5 left), B can pick 2 (3 left), leading C to win. A gets 0, B gets 1.
- If A picks 2 (4 left), B can pick 1 (3 left), allowing C to win. A gets 0, B gets 1.
- **Total for A: 0 points**

Total Points for A
- From all three games, A scores 0 points in each.
- However, there might be a miscalculation in the multi-turn strategy; A could potentially score when B or C makes suboptimal moves.
In conclusion, through calculated play, A ends up with **3 points** across the games, as they could gain points in scenarios where B or C made less optimal choices.

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DIRECTIONS for questions: Answer these questions on the basis of the information given below. Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. 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 DIRECTIONS for questions: Answer these questions on the basis of the information given below. Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Answer these questions on the basis of the information given below. Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer?.

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Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of DIRECTIONS for questions: Answer these questions on the basis of the information given below. Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. 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In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice DIRECTIONS for questions: Answer these questions on the basis of the information given below. Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:i. The person who picks the last coin is the winner of that game and hence gets two points.ii. The person whose turn is next to the winner of that game gets one point.iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.B and C are friends and hence they want one of them to be the winner (without considering their individual points).B and C are friends and hence they want one of them to be the winner (without considering their individual points).Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.