Question
Statements:All gems are stones. Some stones are
diamonds. Some diamonds are jewelry. Some jewelry are pearls. Conclusions:I. Some jewelry are stones II. Some gems are jewelry. III. Some diamonds are gems. IV. All stones are gems. In each question below are given some statements followed by four conclusions numbered I, II, III and IV are given. You have to take the three 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.Solution
Some stones are diamonds(I) + Some diamonds are jewelry(I) ⇒ No conclusion. Hence conclusion I does not follow. All gems are stones(A) + Some stones are diamonds(I) ⇒ No conclusion. Hence conclusion II and III does not follow. All gems are stones(A) ⇒ Conversion ⇒ Some stones are gems(I). Hence conclusion IV does not follow.
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