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      Question

      In the question below, there are four statements

      followed by two conclusions in each option. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide in which of the given options both the conclusions are true disregarding the commonly known facts. Statements: All Diamond is Platinum All Platinum is Silver Only a few Platinum is Gold Every Gold is Copper Conclusions:
      A Some Copper are Silver. No Diamond is Gold. Correct Answer Incorrect Answer
      B Some Gold is not Diamond. Some Platinum is Copper. Correct Answer Incorrect Answer
      C Some Copper is not Silver. Some Gold is not Platinum. Correct Answer Incorrect Answer
      D Some Platinum is Copper. Some Gold is Silver. Correct Answer Incorrect Answer
      E None of the above Correct Answer Incorrect Answer

      Solution

      A) Only a few Platinum is Gold (I) + Every Gold is Copper (A) β†’ Some Platinum is Copper (I) β†’ Conversion β†’ Some Copper is Platinum (I) Β  + All Platinum is Silver (A) β†’ Some Copper is Silver (I). Hence conclusion I does not follow. All Diamond is Platinum (A) + Only a few Platinum is Gold (I) β†’ No conclusion. Hence conclusion II does not follow. B) All Diamond is Platinum (A) + Only a few Platinum is Gold (I) β†’ No conclusion. Hence conclusion I does not follow. Only a few Platinum is Gold (I) + Every Gold is Copper (A) β†’ Some Platinum is Copper (I). Hence conclusion II follows. C) Only a few Platinum is Gold (I) + Every Gold is Copper (A) β†’ Some Platinum is Copper (I) β†’ Conversion β†’ Some Copper is Platinum (I) Β  + All Platinum is Silver (A) β†’ Some Copper is Silver (I). Hence conclusion I does not follow. Only a few Platinum is Gold β†’ All Gold can be Platinum (A). Hence conclusion II does not follow. D) Only a few Platinum is Gold (I) + Every Gold is Copper (A) β†’ Some Platinum is Copper (I). Hence conclusion I follows. Only a few Platinum is Gold (I) β†’ Conversion β†’ Some Gold is Platinum (I) + All Platinum is Silver (A) β†’ Some Gold is Silver (I). Hence conclusion II follows. Hence option 4 is correct.

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