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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
  1. 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.
  2. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels
  3. Whichever scientist is able to make the dog land on level 0 will win
  4. 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. Dr Siebert personally didn't like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?
  • a)
    51
  • b)
    97
  • c)
    75
  • d)
    64
Correct answer is option 'A'. 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 = Win
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, and hence a pattern is emerging.
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. 
51 can be written as 51=7*(7)+2 and hence is a losing spot
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Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-reno...
Strategy to make Sheldon lose the game:

1. Understanding the game:
- The game involves moving the electric dog down levels 1, 3, or 4 from its current level until it reaches level 0.
- The player who brings the dog to level 0 wins the game.

2. Analyzing the situation:
- If Sheldon starts the game, the level at which the dog is placed will determine the outcome.
- Dr. Siebert wants Sheldon to lose, so he needs to strategically place the dog at a level that ensures Sheldon will lose.

3. Calculating the winning position:
- To force Sheldon to lose, Dr. Siebert should place the dog at a level that is a multiple of 8 plus 3.
- The nearest multiple of 8 plus 3 that is greater than 51 is 51 itself.

4. Conclusion:
- Therefore, Dr. Siebert should place the dog at level 51 and ask Sheldon to start the game.
- With this setup, Sheldon will be forced into a losing position, ensuring Dr. Siebert's desired outcome.
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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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. 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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.Dr Siebert personally didnt like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?a)51b)97c)75d)64Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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