Question
Statements: Some cups are plates. No plate is a
glass. Conclusions: I. Some glasses are cups. II. No glass is a cup. In each question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Give Answer:Solution
Some cups are plates (I) + No plate is a glass (E) = Some cups are not glasses (O). Hence, neither conclusion I nor II will follow. However, Conclusion I and II make a complementary pair, hence, either conclusion I or II will follow.
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a. p is a perfect cube
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21 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 179. Find the smallest part.