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Three statements are followed by three conclusions membered I, II and III. You have to consider these statements to be true, even if they seem to be a
Question

Three statements are followed by three conclusions membered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follows(s) from the given statements.
Statements:
(1) All wires are metals
(2) All metals are plastics
(3) Some wires are coppers
Conclusions:
(I) Some coppers are metals
(II) Some plastics are coppers
(III) No copper is a plastic

A.

Either conclusion I or III follows

B.

​Only conclusions I and II follow

C.

Only conclusions II and III follow

D.

None of the conclusions follow

Correct option is B

Statements:
(1) All wires are metals
(2) All metals are plastics
(3) Some wires are coppers
According to the given information, Venn-diagram will be:
Let's analyze the conclusions:
Conclusion (I) Some coppers are metals:
Since some wires are coppers, and all wires are metals, it follows that some coppers are metals.
Therefore, Conclusion I is true.
Conclusion (II) Some plastics are coppers:
All metals are plastics, and some wires are coppers. Since wires (and thus coppers) are part of metals, and metals are plastics, some plastics are coppers.
Therefore, Conclusion II is true.
Conclusion (III) No copper is a plastic:
This directly contradicts the statement that some plastics are coppers.
Therefore, Conclusion III is false.
thus, the correct option is (b) Only conclusions I and II follow.

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