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      Question

      Conclusions: I. No Google is a Facebook.

      II. All Twitter can be Instagram.  In the question below there are two conclusions followed by four statements in the options. You have to take the given three statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given statements are true disregarding the commonly known facts 
      A Only a few Instagram are Facebook. Some Twitter are Google. All Instagram are Google. Correct Answer Incorrect Answer
      B All Twitter are Facebook. Some Facebook are Instagram. All Instagram are Google. Correct Answer Incorrect Answer
      C Some Instagram are Facebook. All Google are Twitter. No Twitter is a Facebook. Correct Answer Incorrect Answer
      D Only Twitter are Google. All Facebook are Instagram. No Facebook is a Twitter. Correct Answer Incorrect Answer
      E Both (c) and (d) Correct Answer Incorrect Answer

      Solution

      From I. All Instagram are Google (I) → Conversion → Some Google  are Instagram (I) + Only a few Instagram are Facebook (I) → No conclusion. Hence conclusion II does not follow. Some Twitter are Google (I) + [All Instagram are Google (I) → Conversion] → Some Google are Instagram (I) → Probable conclusion → All Twitter can be Instagram (A). Hence conclusion II follows. From II. Some Facebook are Instagram (I) + All Instagram are Google (A) → Some Facebook are Google (I). Hence conclusion I does not follow. All Twitter are Facebook (A) + Some Facebook are Instagram (I) → No conclusion. Hence conclusion II does not follow. From III. All Google are Twitter (A) + No Twitter is a Facebook (E) → No Google is a Facebook (E). Hence conclusion I follows. No Twitter is a Facebook (E) → Conversion → No Facebook is a Twitter (E). Some Instagram are Facebook (I) +  No Facebook is a Twitter (E) → Some Instagram are not Twitter (O) → Probable conclusion → All Twitter can be Instagram (A). Hence conclusion II follows. From IV. Only Twitter are Google → All Google are Twitter and Twitter can have negative relation with anyone. Hence conclusion I follows but conclusion II does not follow.

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