Read the given statements and conclusions carefully. Accept the information given in the statements as correct, even if it appears to be different from commonly known facts. Statement: Some mouse are keyboard. No keyboard is key. All keys are rings. conclusion: (I) Some rings are not keyboards. (II) All mouse can be keys.

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

Answer (Detailed Solution Below)

Option 1 : 1) Only conclusion (I) follows.
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Detailed Solution

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The least possible Venn diagram for the given statements is as shown below :

qImage67fe8554bd0f4f51881523a6

Conclusions:

(I) Some rings are not keyboards. → Follow (As no keyboard is key and all keys are rings.. As no keyboard can be keys which whole comes in rings, therefore it is true.)

(II) All mouse can be keys. → Does not follow (As some mouse are keyboard and no keyboard is key. As some part of mouse is common with keyboard which cannot be key, therefore it is false.)

∴ Here, Only conclusion (I) follows.

Hence, the correct answer is "Option 1".

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