In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
1) Some shoes are coats.
2) Some coats are buttons.
Conclusions:
I. No button is shoe.
II. Some shoes are buttons
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A.
Both conclusions I and II follow
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B.
Only conclusion I follows
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C.
Either conclusion I or II follows
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D.
Only conclusion II follows
Correct Answer:
C. Either conclusion I or II follows
Explanation:
The provided syllogism includes two specific statements: "Some shoes are coats" and "Some coats are buttons." Based on these premises, there is no direct connection established between "shoes" and "buttons," as "coats" serves as the middle term but does not link the other two categories in a way that guarantees a relationship. Because the relationship between shoes and buttons is uncertain, they could either have no overlap or some overlap. The two conclusions—"No button is shoe" and "Some shoes are buttons"—represent all possible scenarios for their relationship. Since one of these two conditions must be true in any logical arrangement of the sets, the correct choice is that either conclusion I or II follows.
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