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    Question

    Conclusions: I. No Flower is a Lotus. II.

    Some Sunflowers are Shoes. III. Some Tulips are Flowers. Statements:  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.
    A Some Tulips are sunflowers. Some Tulips are not Shoes. All Flowers are Tulips. Some Sunflowers are Lotus. Correct Answer Incorrect Answer
    B All Tulips are Sunflowers. Some Tulips are Shoes. All Flowers are Tulips. No Sunflower is a Lotus. Correct Answer Incorrect Answer
    C No Tulip is a Sunflower. Some Tulips are Shoes. All Flowers are Tulips. Some Sunflowers are not Lotus. Correct Answer Incorrect Answer
    D Some Tulips are not Sunflowers. No Tulip is a Shoe. All Flowers are Tulips. All Sunflowers are Lotus. Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    From Statement I. All Flowers are Tulips (A) + Some Tulips are Sunflowers (I) → No conclusion. Hence conclusion I does not follow. Some Tulips are Sunflowers (I) → Conversion → Some Sunflowers are Tulips (I) + Some Tulips are not Shoes (O) → No conclusion. Hence conclusion II does not follow. All Flowers are Tulips (A) → Conversion → Some Tulips are Flowers (I). Hence conclusion III follows.   From Statement II. All Flowers are Tulips (A) + All Tulips are Sunflowers (A) → All Flowers are Sunflowers (A) + No Sunflower is a Lotus (E) → No Flower is a Lotus (E). Hence conclusion I follows. Some Tulips are Shoes (I) → Conversion → Some Shoes are Tulips (I) + All Tulips are Sunflowers(A) → Some Shoes are Sunflowers (I) → Conversion → Some Sunflowers are Shoes (I). Hence conclusion II follows. All Flowers are Tulips (A) → Conversion → Some Tulips are Flowers (I). Hence conclusion III follows. From Statement III. All Flowers are Tulips (A) + No Tulip is a Sunflower (E) → No Flower is a Sunflower (E) + Some Sunflowers are not Lotus (O) → No conclusion. Hence conclusion I does not follow. No Tulip is a Sunflower (E) → Conversion → No Sunflower is a Tulip (E) + Some Tulips are Shoes (I) → Some Shoes are not Sunflowers (O*). Hence conclusion II does not follow. All Flowers are Tulips (A) → Conversion → Some Tulips are Flowers (I). Hence conclusion III follows. From Statement IV. All Flowers are Tulips (A) + Some Tulips are not Sunflowers (O) → No conclusion. Hence conclusion I does not follow. No Tulip is a Shoe (E) → Conversion → No Shoe is a Tulip (E) + Some Tulips are not Sunflowers (O) → No conversion. Hence conclusion II does not follow. All Flowers are Tulips (A) → Conversion → Some Tulips are Flowers (I). Hence conclusion III follows.

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