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    Question

    Statements : All cards are colours. Some charts

    are cards. Some papers are charts. Conclusions: Atleast some papers are cards. All colours being paper is a possibility. All charts being colours is a possibility. In each of the questions below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.
    A Only I follows. Correct Answer Incorrect Answer
    B Only II follows. Correct Answer Incorrect Answer
    C Only II and III follows. Correct Answer Incorrect Answer
    D All I, II and III follows. Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Some papers are charts(I) + Some charts are cards(I) ⇒ No conclusion. Hence conclusion I does not follow. Some charts are cards(I) + All cards are colours(A) ⇒ Some charts are colours(I) ⇒ conversion ⇒ Some colours are charts(I) + Some charts are papers (I) ⇒ Probable conclusion ⇒ Some colours are papers(I) ⇒ Probable conclusion ⇒ All colours being paper is a possibility(I). Hence conclusion II follows. Some charts are cards(I) + All cards are colours(A) ⇒ Some charts are colours(I) ⇒ Probable conclusion ⇒ All charts being colours is a possibility. (I). Hence conclusion III follows. Venn Diagram Method :

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