In the following question below are given statements followed by some conclusions based on these statements. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All Sign are Symbol.
No Sign is Digit.
Conclusions:
I. No Symbol is Digit.
II. All Digit are Symbol.
III. Some Symbol are Sign.
All Sign are Symbol (A) → Conversion → Some Symbol are Sign (I) + No Sign is Digit (E) → Some Symbol are not Digit. Hence neither conclusion I nor II follow. All Sign are Symbol (A) → Conversion → Some Symbol are Sign (I). Hence conclusion III follows.
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