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    Question

    In the question below some statements are given two conclusions followed by some statements. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of the following statement is true for given conclusions.

    Conclusions: I. No Lid being Utensil is a

    possibility. II. Some Spoons are not Plates. III. Some Spoons are Cups. Statements:
    A Some Lids are Spoons. Some Spoons are Utensils. Some Utensils are Plates. Some Lids are Cups. Correct Answer Incorrect Answer
    B Some Spoons are Utensils. Some Utensils are Plates. Some Cups are Lids. No Lid is a Spoon. Correct Answer Incorrect Answer
    C All Cups are Lids. Each Lids are Spoons. Some Spoons are Utensils. No Utensil is a Plate. Correct Answer Incorrect Answer
    D All Cups are Lids. No Utensil is a Plate. No Lid is a Spoon. No Spoon is a Utensil. Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    From Statement I. Some Lids are Spoons (I) + Some Spoons are Utensils (I) → Probable conclusion → No Lids may be Utensils (I). Hence conclusion I follows. Some Spoons are Utensils (I) + Some Utensils are plates (I) → No conclusion. Hence neither conclusion II nor III follow. From Statement II. No Lids is Spoons (E) + Some Spoons are Utensils (I) → Some Utensils are not Lids (O*) → Probable conclusion → All Lids may be Utensils (I). Hence conclusion I does not follow. Some Spoons are Utensils (I) + Some Utensils are plates (I) → No conclusion. Hence neither conclusion II nor III follow. From Statement III. Each Lids are Spoons (A) + Some Spoons are Utensils (I) → Probable conclusion → No Lids may be Utensils (I). Hence conclusion I follows. Some Spoons are Utensils (I) + No Utensil is Plate (E) →   Some Spoons are not plates (O). Hence conclusion II follows. All Cups are Lids (A) + Each Lids are Spoons (A) → All Cups are Spoons (A) → Conversion → Some Spoons are Cups (I). Hence conclusion III follows.   From Statement IV. No Lid is a Spoon (E) + No Spoon is a Utensil (E) → Probable conclusion → No Lid may be Utensil (I). Hence conclusion I follows. No Spoon is a Utensil (E) + No Utensil is a Plate (E) → No conclusion. Hence conclusion II does not follow. All Cups are Lids (A) + No Lid is a Spoon (E) → No Cup is a Spoon (E). Hence conclusion III does not follow.

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