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Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other.
Number of floors above and below U are equal.
  • Neither V nor Q is a doctor.
  • Five floors are there between P's floor and V's floor. P lives above V.
  • Only one person, who is an engineer, lives between R, who lives on top floor and S.
  • Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S.
  • U doesn't live immediately below the vacant floor and T lives below the vacant floor.
    Which floor is vacant?
    I: 7th
    II: 8th
    III: 6th
    • a)
      Only I
    • b)
      Only II
    • c)
      Either I or II
    • d)
      Either II or III
    • e)
      None of these
    Correct answer is option 'A'. Can you explain this answer?
    Most Upvoted Answer
    Directions [Set of 5 question]: In a nine-storey building, eight pers...
    Analysis:
    - There are 8 persons living on different floors in a nine-storey building.
    - Each person is either a doctor or an engineer.
    - No two engineers can live immediately above or below each other.
    - The number of floors above and below U are equal.
    - V and Q are not doctors.
    - There are five floors between P and V, with P living above V.
    - There is one engineer between R (who lives on the top floor) and S.
    - Q lives above W with a gap of 2 floors between them, and Q does not live immediately above or below S.
    - U does not live immediately below the vacant floor, and T lives below the vacant floor.

    Solution:
    - Since there are 8 persons living in the building and one floor is vacant, the vacant floor must be the 7th floor.
    - This is because if the 7th floor is not vacant, then the number of persons living in the building would exceed 8, which is not possible.
    Therefore, the correct answer is:

    Option A) Only I (7th floor)
    Free Test
    Community Answer
    Directions [Set of 5 question]: In a nine-storey building, eight pers...
    Number of floors above and below U are equal.
    • R lives on top floor.
    • Five floors are there between P's floor and V's floor. P lives above V.
    • V is not a doctor, so V is an engineer.
    So, U lives in the middle floor i.e. floor no. 5
    And we get following two cases:
    Case I:
    Case II:
    Now,
    Only one person, who is an engineer, lives between R, who lives on top floor and S.
    So, we get,
    Case I:
    Case II:
    Case III:
    • Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S.
    • Q is not a doctor, so is an engineer.
    • T lives below the vacant floor.
    And, no two engineers live immediately above/below each other.
    So, case II is eliminated as Q and W cannot be placed.
    Case I:
    Case III:
    Since,
    U doesn't live immediately below the vacant floor.
    Thus, case I is eliminated, and case III is the final arrangement as follows:
    Floor 7th is vacant.
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    Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer?
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    Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. 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 [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. 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 [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer?.
    Solutions for Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. 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 Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions [Set of 5 question]: In a nine-storey building, eight persons - P, Q, R, S, T, U, V and W lives, each on different floor such that one floor is left vacant. The floors are one to nine from bottom to top. Each person is either a doctor or an engineer. No two engineers live immediately above/below each other. Number of floors above and below U are equal. Neither V nor Q is a doctor. Five floors are there between P's floor and V's floor. P lives above V. Only one person, who is an engineer, lives between R, who lives on top floor and S. Q lives above W with a gap of 2 floors in between them. Q does not live immediately above/below S. U doesn't live immediately below the vacant floor and T lives below the vacant floor. Which floor is vacant?I: 7thII: 8thIII: 6tha)Only Ib)Only IIc)Either I or IId)Either II or IIIe)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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