Two conclusions, I and II follow three statements. The statements are to be accepted as true, even if they appear to be at variance with commonly known facts, and the question is to decide which of the given conclusions logically follows from the statements.
(1) All wood is iron.
(2) All irons are nickel.
(3) No nickel is no copper.
Conclusions:
(I) Some iron are copper.
(II) Some copper are wood.

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  1. 1) Only conclusion (I) follows.
  2. 2) Only conclusion (II) follows.
  3. 3)Both conclusions (I) and (II) follow.
  4. 4)Neither conclusion (I) nor (II) follows.

Answer (Detailed Solution Below)

Option 4 : 4)Neither conclusion (I) nor (II) follows.
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Detailed Solution

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The least possible venn diagram is:

qImage6811df7255363b6531413b37

Conclusions:
(I) Some iron are copper → False ( As,  All irons are nickel  No nickel is no copper. so, Some iron are copper cannot be true)

(II) Some copper are wood → False ( As,  All wood is iron. All irons are nickel  No nickel is no copper. so, Some copper are wood cannot be true)

Thus, Neither conclusion (I) nor (II) follows.

Hence, the correct answer is "Option 4".

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