Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer?

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An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer.
Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels
Whichever scientist is able to make the dog land on level 0 will win
If the dog is at level 2, the only move possible is to bring down the dog by 1 level

Both the scientist play with the intention of winning and can not skip their turn

Q. At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?

Correct answer is '3'. Can you explain this answer?

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Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-reno...

Let us work from the bottom of the building to understand the winning scenarios:
If the dog is at level 1, the command of 1 level down has to be given and thus dog will reach level 0 which will result in a win. Thus level 1 is always a winning position
If the dog is at level 2, the person will have no other option but to bring down the dog by level 1. His opponent will start at level 1 and win the game. Thus level 2 is a losing position

W =
L = Lose
If the dog is at Level 3 or Level 4, the dog can be given command of jumping down 3 or 4 levels and thus dog will reach level 0 and the person giving the command will be the winner.

W = Win
L = Lose
If the dog is at Level 5, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 4 or Level 2 or Level 1. The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 2. Thus level 5 is a winning position
If the dog is at Level 6, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 5 or Level 3 or Level 2.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 4 levels and land at level 2. Thus level 6 is a winning position.
If the dog is at Level 7, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 6 or Level 4 or Level 3. All of which is a winning position for the opponent. Therefore, whoever gets Level 7 is sure to lose

W = Win
L = Lose
If the dog is in level 8, then he can be given the command to jump down 1 level leaving the opponent at Level 7 which is a losing position. Thus level 8 is winning position.
If the dog is at Level 9, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 8 or Level 6 or Level 5.All of which are a winning position and hence level 9 is a losing position
If the dog is at Level 10, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 9 or Level 7 or Level 6.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 7. Thus level 10 is a winning position.

W = Win
L = Lose
We see that a similar condition has been discussed earlier also, hence we observe that the previous 7 observation are repeating itself
If the player receives the dog on the level which is of form 7k or 7k+2 then the person is sure to lose the game.
Since it is known that the players will play smartly to win, Sheldon will only give chance to Kripke if he is sure that the starting level is the losing level. Thus it is of the form 7k or 7k+2.
Therefore he'll receive the dog at the level which is of form 7k-1 or 7k+1
If the dog is at the level of form 7k+1, Sheldon will have to give the command to the dog to come 1 level down in order to ensure that Kripke stays on losing the level.
If the dog is at the level of form 7k-1, Sheldon will have to give the command to the dog to come 4 levels down in order to ensure that Kripke get the dog on level 7k-5 or 7k' +2 (where k=k'+1) which is a losing level.
In any scenario, Sheldon will not command the dog to jump down 3 levels.

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Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-reno...

Explanation:

Analysis of the Game:
- The key to winning the game is to ensure that the dog lands on level 0.
- The scientists need to strategize their moves to lead the dog to level 0 while preventing their opponent from achieving the same.

Initial Placement:
- The dog is initially placed at level N.

Sheldon's Strategy:
- Sheldon observed the initial level of the dog and made a mental calculation to determine the winning strategy.
- He graciously offered Kripke to start the game, indicating that he has a winning strategy in mind.

Kripke's Move:
- Kripke started the game by making the dog jump down 1 level.
- This move by Kripke gives Sheldon an advantage to strategize his moves to lead the dog to level 0.

Analysis of Level 3:
- If the dog is at level 3, the optimal move for Sheldon would be to make the dog jump down 1 level.
- This would lead the dog to level 2, where Kripke would have no choice but to bring the dog down by 1 level.
- This would result in the dog being at level 1, where Sheldon can make the dog jump down 1 level to reach level 0 and win the game.

Conclusion:
- Therefore, Sheldon should not command the dog to jump down to level 3 to ensure he wins the game.

Answered by Wizius Careers · View profile

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Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer?

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Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. 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 Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer?.

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Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer?, a detailed solution for Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer? has been provided alongside types of Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels Whichever scientist is able to make the dog land on level 0 will win If the dog is at level 2, the only move possible is to bring down the dog by 1 levelBoth the scientist play with the intention of winning and can not skip their turnQ.At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?Correct answer is '3'. Can you explain this answer? tests, examples and also practice CAT tests.

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