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Exclusive Proposition: Which is the correct option representing the logical meaning of: "All students are not genius."

  1. A
    Every student is not genius.
  2. B
    Many students are not genius.
  3. C
    Many students are genius.
  4. D
    Every non-student is a genius.

Solution & Step-by-step Explanation

The statement "All students are not genius" does not mean that zero students are geniuses; rather, it means that the attribute of being a genius cannot be universally applied to all students. In standard logical deduction, this translates to "Not all students are geniuses," which means "Many students/Some students are not geniuses." Option B captures this meaning accurately.

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Exclusive Proposition: Which is the correct option representing the logical meaning of: "All students are not genius."
A
Every student is not genius.
B
Many students are not genius.
C
Many students are genius.
D
Every non-student is a genius.

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