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Read the following information carefully and answer the questions that follow—
A, B, C, D, E and F are six students procuring their Master’s Degree in six different subjects—Data science, Finance, Criminal Justice, Fine arts, Economics and Music.
Two of them stay in hostel, two stay as paying guest (PG) and the remaining two stay at their home.
  • C does not stay as PG and studies Fine Arts.
  • The students studying Economics and Finance do not stay as PG.
  • E studies Music and D studies, Criminal Justice. F and D stay in Hostel. E stays as PG and B stays at home.
    Q. Which of the following combination of subjects and place of stay is not correct?
    • a)
      Data Science –Hostel
    • b)
      Music-PG
    • c)
      Fine Arts-Home
    • d)
      Criminal Justice-Hostel
    Correct answer is option 'A'. Can you explain this answer?
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    Answer:

    Incorrect combination of subject and place of stay:

    - Data Science – Hostel

    Explanation:

    Given information:

    - A, B, C, D, E and F are six students procuring their Master’s Degree in six different subjects—Data science, Finance, Criminal Justice, Fine arts, Economics and Music.
    - Two of them stay in hostel, two stay as paying guest (PG) and the remaining two stay at their home.
    - C does not stay as PG and studies Fine Arts.
    - The students studying Economics and Finance do not stay as PG.
    - E studies Music and D studies Criminal Justice.
    - F and D stay in Hostel.
    - E stays as PG and B stays at home.

    From the given information, we can make the following table:

    | Student | Subject | Place of stay |
    |---------|----------------|---------------|
    | A | Data Science | Hostel |
    | B | | Home |
    | C | Fine Arts | Home/PG |
    | D | Criminal Justice | Hostel |
    | E | Music | PG |
    | F | | Hostel |

    Now, we can see that the combination of Data Science – Hostel is incorrect because, from the given information, we know that:

    - Only two students stay in Hostel (F and D).
    - The students studying Economics and Finance do not stay as PG (so they must be either at home or in Hostel).
    - E studies Music and stays as PG, so cannot stay in Hostel.
    - B stays at home, so cannot stay in Hostel.

    Therefore, the only option left for A is to stay in Hostel, which makes the combination of Data Science – Hostel correct.

    Hence, the correct answer is option 'A'.
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