In the following question, symbols &, @, %, and $ represent the following relations: A@B means "All A are B" A&B means "Only a ...

Question

In the following question, symbols &, @, %, and $ represent the following relations:

  • A@B means "All A are B"
  • A&B means "Only a few A are B"
  • A$B means "No A is B"
  • A%B means "Some A is B"

Given the statement:

' in math mode at position 2: C̲E\%G@B\&D" style="color:#cc0000">C$E\%G@B\&D

Analyze the following conclusions:

I. All B being D is a possibility

II. Some B being C is not a possibility

III. All G can never be C

IV. All D can be E

Which of the conclusions logically follow from the given statement?

Options

A.

Both III and IV

B.

Only I

C.

Both II and III

D.

Only IV

E.

Only III

symbolic logicinequalitieslogical deductionbanking reasoning

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