Conclusions:
I. No Flower is a Lotus.
II. Some Sunflowers are Shoes.
III. Some Tulips are Flowers. Statements: 

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.