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Eight persons in a family - Grandfather, Grandmother, Father, Mother, Son, Daughter-in-law, Daughter and Son-in-law, are sitting in a circle, not necessarily in the same order. The chairs are arranged in a perfect symmetry. It is also known that:
i. Father and Mother are sitting farthest apart from each other.
ii. There are exactly two persons sitting in between Grandfather and Grandmother.
 
Q. If there is no person sitting between Mother and Daughter, then who can’t be sitting beside Mother if exactly two couples are sitting diametrically opposite?
  • a)
    Daughter-in-law
  • b)
    Son
  • c)
    Grandfather
  • d)
    Son-in-law
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Eight persons in a family - Grandfather, Grandmother, Father, Mother, ...
One of the two couples (sitting diametrically opposite) is Mother-Father.
From (ii), Grandmother-Grandfather is not the couple sitting diametrically opposite.
Hence, the other couple sitting diametrically opposite must be one among “Son & Daughter-in-law” and “Daughter & Son-in-law*
Case (I): Daughter and Son-in-law sit diametrically opposite.
Son-in-law is not beside Mother.
Case (II): Son and Daughter-in-law sit diametrically opposite.
The possible arrangements are:
OR
OR
It can be seen that Son-in-law never sits beside Mother.
Hence, option 4.
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Most Upvoted Answer
Eight persons in a family - Grandfather, Grandmother, Father, Mother, ...
Given Information:
- Eight persons in a family: Grandfather, Grandmother, Father, Mother, Son, Daughter-in-law, Daughter, and Son-in-law.
- They are sitting in a circle, not necessarily in the same order.
- The chairs are arranged in perfect symmetry.
- Father and Mother are sitting farthest apart from each other.
- There are exactly two persons sitting between Grandfather and Grandmother.
- There is no person sitting between Mother and Daughter.

Analysis:
- Since the chairs are arranged in perfect symmetry, it means that the family members are evenly spaced around the circle.
- From the given information, we can deduce a few possibilities:
- If Father and Mother are sitting farthest apart, then they must be diametrically opposite each other.
- Since there are exactly two persons sitting between Grandfather and Grandmother, they can either be sitting next to each other or have one person sitting between them.
- Since there is no person sitting between Mother and Daughter, they must either be sitting next to each other or have one person sitting between them.

Possible Arrangements:
Let's consider the possible arrangements based on the given information:

1. Father and Mother are diametrically opposite:
- Grandfather and Grandmother must have two persons sitting between them.
- Mother and Daughter must be sitting next to each other.
- The remaining three family members (Son, Daughter-in-law, and Son-in-law) can be seated in any order as long as the conditions are met.

2. Grandfather and Grandmother have two persons sitting between them:
- Father and Mother cannot be sitting diametrically opposite each other because that would violate the condition that Grandfather and Grandmother have two persons between them.
- In this case, there must be one person between Grandfather and Grandmother, and they cannot be sitting next to each other.
- Mother and Daughter must be sitting next to each other.
- The remaining three family members (Father, Son-in-law, and Daughter-in-law) can be seated in any order as long as the conditions are met.

In both possible arrangements, Mother and Daughter are sitting next to each other. Therefore, the person who cannot be sitting beside Mother if exactly two couples are sitting diametrically opposite is Son-in-law.
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Group QuestionThe passage given below is followed by a set of questions. Choose the most appropriate answer to each question.Heloise despises her paternal grandfather. Heloise is homicidal and has been trained in various lethal combat techniques. Despite her relish at the thought of murdering her grandfather, time has conspired against her, for her grandfather has been dead for 30 years. As a crime investigator might say, she has motive and means, but lacks the opportunity; that is, until she fortuitously comes into the possession of a time machine. Now Heloise has the opportunity to fulfill her desire. She makes the necessary settings on the machine and plunges back into time 80 years. She emerges from the machine and begins to stalk her grandfather. He suspects nothing. She waits for the perfect moment and place to strike so that she can enjoy the full satisfaction of her hatred. At this point, we might pause to observe: If Heloise murders her grandfather, she will have prevented him from fathering any children. That means that Heloises own father will not be born. And that means that Heloise will not be born. But if she never comes into existence, then how is she able to return...? And so we have the infamous grandfather paradox. Before we examine what happens next, lets consider the possible outcomes of her impending action.First, lets assume that the many-worlds hypothesis correctly describes the universe. If so, then we avoid the paradox. If Heloise succeeds in killing her grandfather before her father is conceived, then the state of the world includes quantum entanglement of the events involved in Heloises mind, body, surrounding objects, etc., such that when she succeeds in killing her grandfather (or willing his death just prior to the physical accomplishment of it), the universe at that moment divides into one universe in which she succeeded and a second universe in which she did not. So the paradox of causal continuity in external time does not arise; causation presumably connects events in the different universes without any inconsistency.Next, lets assume that we do not have the many-worlds quantum interpretation available to us, nor for that matter, any theory of different worlds. Can Heloise murder her grandfather? As David Lewis famously remarked, in one sense she can, and in another sense she cant. The sense in which she can murder her grandfather refers to her ability, her willingness, and her opportunity to do so. But the sense in which she cannot murder her grandfather trumps the sense in which she can. In fact, she does not murder her grandfather because the moments of external time that havealready passed are no longer separable. Assuming that events 80 years ago did not include Heloise murdering her grandfather, she cannot create another moment 80 years ago that does. A set of facts is arranged such that it is perfectly appropriate to say that, in one sense, Heloise can murder her grandfather. However, this set of facts is enclosed by the larger set of facts that include the survival of her grandfather. Were Heloise to actually succeed in carrying out her murderous desire, this larger set of facts would contain a contradiction (that her grandfather both is murdered and is not murdered 80 years ago), which is impossible. History remains consistent.Q.Which of the following would provide sufficient circumstances for Heloise to murder her grandfather in the past and still show no inconsistency?

Heloise despises her paternal grandfather. Heloise is homicidal and has been trained in various lethal combat techniques. Despite her relish at the thought of murdering her grandfather, time has conspired against her, for her grandfather has been dead for 30 years. As a crime investigator might say, she has motive and means, but lacks the opportunity; that is, until she fortuitously comes into the possession of a time machine. Now Heloise has the opportunity to fulfill her desire. She makes the necessary settings on the machine and plunges back into time 80 years. She emerges from the machine and begins to stalk her grandfather. He suspects nothing. She waits for the perfect moment and place to strike so that she can enjoy the full satisfaction of her hatred. At this point, we might pause to observe: If Heloise murders her grandfather, she will have prevented him from fathering any children. That means that Heloises own father will not be born. And that means that Heloise will not be born. But if she never comes into existence, then how is she able to return...? And so we have the infamous grandfather paradox. Before we examine what happens next, lets consider the possible outcomes of her impending action.First, lets assume that the many-worlds hypothesis correctly describes the universe. If so, then we avoid the paradox. If Heloise succeeds in killing her grandfather before her father is conceived, then the state of the world includes quantum entanglement of the events involved in Heloises mind, body, surrounding objects, etc., such that when she succeeds in killing her grandfather (or willing his death just prior to the physical accomplishment of it), the universe at that moment divides into one universe in which she succeeded and a second universe in which she did not. So the paradox of causal continuity in external time does not arise; causation presumably connects events in the different universes without any inconsistency.Next, lets assume that we do not have the many-worlds quantum interpretation available to us, nor for that matter, any theory of different worlds. Can Heloise murder her grandfather? As David Lewis famously remarked, in one sense she can, and in another sense she cant. The sense in which she can murder her grandfather refers to her ability, her willingness, and her opportunity to do so. But the sense in which she cannot murder her grandfather trumps the sense in which she can. In fact, she does not murder her grandfather because the moments of external time that havealready passed are no longer separable. Assuming that events 80 years ago did not include Heloise murdering her grandfather, she cannot create another moment 80 years ago that does. A set of facts is arranged such that it is perfectly appropriate to say that, in one sense, Heloise can murder her grandfather. However, this set of facts is enclosed by the larger set of facts that include the survival of her grandfather. Were Heloise to actually succeed in carrying out her murderous desire, this larger set of facts would contain a contradiction (that her grandfather both is murdered and is not murdered 80 years ago), which is impossible. History remains consistent.Q.According to David Lewis, can Heloise murder her grandfather?

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Eight persons in a family - Grandfather, Grandmother, Father, Mother, Son, Daughter-in-law, Daughter and Son-in-law, are sitting in a circle, not necessarily in the same order. The chairs are arranged in a perfect symmetry. It is also known that:i. Father and Mother are sitting farthest apart from each other.ii. There are exactly two persons sitting in between Grandfather and Grandmother.Q. If there is no person sitting between Mother and Daughter, then who cant be sitting beside Mother if exactly two couples are sitting diametrically opposite?a)Daughter-in-lawb)Sonc)Grandfatherd)Son-in-lawCorrect answer is option 'D'. Can you explain this answer?
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Eight persons in a family - Grandfather, Grandmother, Father, Mother, Son, Daughter-in-law, Daughter and Son-in-law, are sitting in a circle, not necessarily in the same order. The chairs are arranged in a perfect symmetry. It is also known that:i. Father and Mother are sitting farthest apart from each other.ii. There are exactly two persons sitting in between Grandfather and Grandmother.Q. If there is no person sitting between Mother and Daughter, then who cant be sitting beside Mother if exactly two couples are sitting diametrically opposite?a)Daughter-in-lawb)Sonc)Grandfatherd)Son-in-lawCorrect answer is option 'D'. 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 Eight persons in a family - Grandfather, Grandmother, Father, Mother, Son, Daughter-in-law, Daughter and Son-in-law, are sitting in a circle, not necessarily in the same order. The chairs are arranged in a perfect symmetry. It is also known that:i. Father and Mother are sitting farthest apart from each other.ii. There are exactly two persons sitting in between Grandfather and Grandmother.Q. If there is no person sitting between Mother and Daughter, then who cant be sitting beside Mother if exactly two couples are sitting diametrically opposite?a)Daughter-in-lawb)Sonc)Grandfatherd)Son-in-lawCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight persons in a family - Grandfather, Grandmother, Father, Mother, Son, Daughter-in-law, Daughter and Son-in-law, are sitting in a circle, not necessarily in the same order. The chairs are arranged in a perfect symmetry. It is also known that:i. Father and Mother are sitting farthest apart from each other.ii. There are exactly two persons sitting in between Grandfather and Grandmother.Q. If there is no person sitting between Mother and Daughter, then who cant be sitting beside Mother if exactly two couples are sitting diametrically opposite?a)Daughter-in-lawb)Sonc)Grandfatherd)Son-in-lawCorrect answer is option 'D'. Can you explain this answer?.
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