All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  Sheldon Cooper and Barry Kripke are 2 rival s... Start Learning for Free
SaveJoin the Discussion on the App
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. What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?
    Correct answer is '101'. Can you explain this answer?
    FREE This question is part of
    Download PDF Attempt Test
    		Download PDF Attempt this Test
    Verified Answer
    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.
    The lowest 3-digit number is 100 but it is of the form 7k+2 hence a losing position. Hence 101 is the lowest 3-digit number which is a winning position.
    View all questions of this test
    Most Upvoted Answer
    Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-reno...
    Here’s a detailed explanation of why the lowest 3-digit level at which the dog should be placed for Kripke to win is 101:
    Understanding the Game Dynamics
    - The dog can jump down 1, 3, or 4 levels.
    - Kripke starts first, and both players aim to win.
    Winning and Losing Positions
    - A winning position is where the player whose turn it is can force a win.
    - A losing position is where any move leads to a winning position for the opponent.
    Identifying Positions
    - Level 0 is a winning position since landing there means victory.
    - Level 1, 2, and 3 are winning positions for the player moving, as they can jump to level 0.
    - Level 4 is a losing position because any jump (1, 3, or 4) leads to a winning position for the opponent.
    Building the Strategy
    - Continuing this logic, positions can be classified:
    - Winning: Levels 0, 1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, and so on.
    - Losing: Levels 4, 8, 12, 16, etc.
    Finding the Lowest 3-Digit Level
    - To find the lowest 3-digit level where Kripke wins, we need to check levels from 100 upwards.
    - The pattern indicates that levels of the form 4k (where k is an integer) are losing positions.
    - The first 3-digit level that is a losing position is 100 (4 x 25).
    - Therefore, the next level 101 is a winning position for Kripke.
    Conclusion
    - Kripke should start at level 101 to guarantee a win since it is a winning position following the outlined strategy.
    Attention CAT Students!
    To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
    < Previous Question Next Question >
    Explore Courses for CAT exam

    Similar CAT Doubts

    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.If Barry Kripke starts the game, then the probability that Sheldon wins the game is m/nwhere m and n are in lowest possible form. What is value of m+n ? Correct answer is '9'. Can you explain this answer?

    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?

    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?

    Directions:The passage below is accompanied by a set of questions. Choose the best answer to each question.The young scientist in India is an endangered species. The threat comes from the predatory habits of a more evolved species that is the senior scientist. An Indian university teacher in a letter to the international science journalNaturewrote plaintively: Thesis supervisors take undue credit for the work of their protégés. A young scientist needs the goodwill and support of the scientist-in-power at every step: for completion and continuation of his work, for participation in national and international meetings and research projects, for recognition and reward and for promotion. This support is available but at a price. The price often is the sharing of credit. A worthwhile research paper or a project originating from a humble scientist would often end up with the scientist-in-power as the principal author or investigator.The power of the senior scientist over his junior stems from the fact that science is the only profession in the world which is self-assessing. Unlike in the bureaucracy or the military where the top authority vests with non-professionals, a scientists work can be overseen and evaluated only by fellow scientists.Fortunately for the scientists, support for science is a badge of honour for nations aspiring to modernity. That is why the government which normally would not pay the piper unless it can call the tune, happily makes an exception in the case of science. Society values continuity, stability and security, and turns to the past for guidance and support. Science, on the other hand, aspires to instability. It aims at creating something that did not exist before. It seeks a break with the past with an eye on the future.It is an irony that in todays world, feudalism can be sustained only in the administration of a modern scientific research centre. One must, however, not be unfair to the feudal lords of yesteryears whose conduct had the sanction of the times. Neo-feudalism is pernicious because it is anachronistic; it can be sustained only by a subversion of the system in the hands of the people who are entrusted with the task of upholding it.If we define professionalism as the realisation that an institution ranks higher than an individual and that the collective goal is more important than individual ego, it must be admitted that we are unprofessional people. It is wrong in principle to give any individual a larger-than-the-institution image. This philosophy becomes all the more debilitating, because recently there has been an alarming decline in the quality of leadership in science as in other walks of life. It is relatively speaking an easy matter to evaluate a leader. His commitment can be judged by asking whether he is giving to the system or taking from it. The calibre of a leader can be gauged from the calibre of the people willing to play second fiddle to him.Under these circumstances, if a chief executive is to be projected as the master of an institution rather than its servant, this can be done only by degrading the institution. It will be like a cinema hall whose facade remains the same, but the posters outside and the picture inside go on changing.Q.The author suggests that the power which a senior scientist exercises over his juniors is due to

    DIRECTIONSfor the question:Read the passage and answer the question based on it.DISMAL may not be the most desirable of modifiers, but economists love it when people call their discipline a science. They consider themselves the most rigorous of social scientists. Yet whereas their peers in the natural sciences can edit genes and spot new planets, economists cannot reliably predict, let alone prevent, recessions or other economic events. Indeed, some claim that economics is based not so much on empirical observation and rational analysis as on ideology.In October Russell Roberts, a research fellow at Stanford Universitys Hoover Institution, tweeted that if told an economists view on one issue, he could confidently predict his or her position on any number of other questions. Prominent bloggers on economics have since furiously defended the profession, citing cases when economists changed their minds in response to new facts, rather than hewing stubbornly to dogma. Adam Ozimek, an economist at Moodys Analytics, pointed to Narayana Kocherlakota, president of the Federal Reserve Bank of Minneapolis from 2009 to 2015, who flipped from hawkishness to dovishness when reality failed to affirm his warnings of a looming surge in inflation. Tyler Cowen, an economist at George Mason, published a list of issues on which his opinion has shifted (he is no longer sure that income from capital is best left untaxe d). Paul Krugman, an economist and New York Times columnist, chimed in. He changed his view on the minimum wage after research found that increases up to a certain point reduced employment only marginally (this newspaper had a similar change of heart).Economists, to be fair, are constrained in ways that many scientists are not. They cannot brew up endless recessions in test tubes to work out what causes what, for instance. Yet the same restriction applies to many hard sciences, too: geologists did not need to recreate the Earth in the lab to get a handle on plate tectonics. The essence of science is agreeing on a shared approach for generating widely accepted knowledge. Science, wrote Paul Romer, an economist, in a paper published last year, leads to broad consensus. Politics does not.Nor, it seems, does economics. In a paper on macroeconomics published in 2006, Gregory Mankiw of Harvard University declared: A new consensus has emerged about the best way to understand economic fluctuations. But after the financial crisis prompted a wrenching recession, disagreement about the causes and cures raged. Schlock economics was how Robert Lucas, a Nobel-prize-winning economist, described Barack Obamas plan for a big stimulus to revive the American economy. Mr Krugman, another Nobel-winner, reckoned Mr Lucas and his sort were responsible for a dark age of macroeconomics.As Mr Roberts suggested, economists tend to fall into rival camps defined by distinct beliefs. Anthony Randazzo of the Reason Foundation, a libertarian think-tank, and Jonathan Haidt of New York University recently asked a group of academic economists both moral questions (is it fairer to divide resources equally, or according to effort?) and questions about economics. They found a high correlation between the economists views on ethics and on economics. The correlation was not limited to matters of debate" how much governments should intervene to reduce inequality, say" but also encompassed more empirical questions, such as how fiscal austerity affects economies on the ropes. Another study found that, in supposedly empirical research, right-leaning economists discerned more economically damaging effects from increases in taxes than left-leaning ones.That is worrying. Yet is it unusual, compared with other fields? Gunnar Myrdal, yet another Nobel-winning economist, once argued that scientists of all sorts rely on preconceptions. "Questions must be asked before answers can be given," he quipped. A survey conducted in 2003 among practitioners of six social sciences found that economics was no more political than the other fields, just more finely balanced ideologically: left-leaning economists outnumbered right-leaning ones by three to one, compared with a ratio of 30:1 in anthropology.Q.According to the information given in the passage:I. Scientists and economists are similar.II. Scientists and economists are not similar.III. Scientists are more accurate than economists.IV. Scientists are less disputative that economists.

    Top Courses for CATView all

    Top Courses for CAT

    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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. Can you explain this answer?
    Question Description
    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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. Can you explain this answer?.
    Solutions 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. 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.What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?Correct answer is '101'. Can you explain this answer? tests, examples and also practice CAT tests.
    Explore Courses for CAT exam

    Top Courses for CAT

    Explore Courses

    Suggested Free Tests

    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev
    Get App
    © EduRev
    Education Revolution
    Follow Us
    Signup to see your scores go up within 7 days!
    Access 1000+ FREE Docs, Videos and Tests
    Takes less than 10 seconds to signup