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      Question

      Read the given statements and conclusions carefully.

      Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: No 50s are 60s. Some 50s are 30s. All 60s are 70s. Conclusions: I. All 60s being 30s is a possibility. II. Some 70s are not 50s.
      A Only conclusion II follows. Correct Answer Incorrect Answer
      B Only conclusion I follows. Correct Answer Incorrect Answer
      C Both conclusions I and II follow. Correct Answer Incorrect Answer
      D Neither conclusion I nor II follow. Correct Answer Incorrect Answer

      Solution

      No 50s are 60s (E) → Conversion → No 60s are 50s (E) + Some 50s are 30s (I) → Some 30s are not 60s (O*) → Probable conclusion → All 60s may be 30s (A). Hence conclusion I follows. No 50s are 60s (E) + All 60s are 70s (A) → Some 70s are not 50s (O*). Hence conclusion II follows.

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