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Two statements are given, followed by two conclusions numbered I and II. 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 Tools are Hardware. All Hardware is Metallic. Conclusions: I. All Metallic are Tools. II. All Tools are Metallic.

Two statements are given, followed by two conclusions numbered I and II. 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 Tools are Hardware. All Hardware is Metallic. Conclusions: I. All Metallic are Tools. II. All Tools are Metallic. Correct Answer Only conclusion II follows.

The least possible Venn diagram for the statements is as below,

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conclusions:

I. All Metallic are Tools. → does not follow (As all Tools are Hardware and all Hardware is Metallic. So, some Metallic are Tools. Therefore, All Metallic are Tools is a possibility not definite true.)

II. All Tools are Metallic. → follows (As all Tools are Hardware and all Hardware is Metallic. So, All Tools are Metallic. Clearly it is definite true.  )

Hence, the correct answer is "Only conclusion II follows".

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