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    Question

     In each of the questions below are given three statements followed by three conclusions numbered I, II and III and IV. 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.

    Statement:

    Some rivers are hills.

    All hills are mountains.

    No mountain is a tree.

    Some trees are branches.

    Conclusion:

    Some rivers are not trees.

    Some mountains are not branches.

    No tree is a hill.

    Some mountains are branches.

    A Only either I or III follow Correct Answer Incorrect Answer
    B Only I , III and either II or IV follows Correct Answer Incorrect Answer
    C Only I, II and III follow Correct Answer Incorrect Answer
    D Only I, II and IV follows. Correct Answer Incorrect Answer

    Solution

    Some rivers are hills (I) + All hills are mountains (A) → Some rivers are mountains (I) + No mountain is a tree (E) → Some rivers are not tree (O). Hence, only I will follow. No mountain is a tree (E) + Some trees are branches (I) → Some braches are not mountains (O). Hence, conclusion II and IV do not follow but it will make a complementary pair. All hills are mountains (A) + No mountain is a tree (E) → No hill is a tree (E). Hence, conclusion III follow.

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