In the question, below are three statements followed by two conclusions numbered I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements: Some cups are not bolts. All dusters are balls. All cups are balls. Conclusions: I. All bolts are cups. II. Some dusters are cups is a possibility. Correct Answer If only conclusions II follows. Concept: Meaning of "Some A are B" in Syllogism - there is at least one point in A which is in B. Meaning of "All A are B" in Syllogism - each point of A is in B. This explains why "some" can be considered as a subset of "all". Therefore, if "All A are B" is true, then "some A are B" is always true. The least possible venn diagram for the above statements is shown below. Important PointsComplementary pair: 1) When both the elements of conclusions are the same. 2) When both the conclusions are false (possible but not definite) individually. There are two different types of complementary pairs ​1) All - Some not 2) No - Some