Question

    In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

    Statements:

    Some cashews are almonds.

    All almonds are walnuts.

    Some walnuts are raisins.

    Conclusions:

    I. Some cashews are raisins.

    II. Some almonds are raisins.

    III. Some raisins are almonds.

    IV. Some walnuts are cashews.

    A Only conclusion II follows Correct Answer Incorrect Answer
    B Only conclusion IV follows Correct Answer Incorrect Answer
    C Only conclusion I follows Correct Answer Incorrect Answer
    D No conclusion follows Correct Answer Incorrect Answer

    Solution

    Some cashews are almonds (I) + All almonds are walnuts (A) → Some cashews are walnuts (I) + Some walnuts are raisins (I) → No conclusion. Hence conclusion I does not follow. All almonds are walnuts (A) + Some walnuts are raisins (I) → No conclusion. Hence neither conclusion II nor III follow. Some cashews are almonds (I) + All almonds are walnuts (A) → Some cashews are walnuts (I) → Conversion → Some walnuts are cashews (I). Hence conclusion IV follows.

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