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    Question

    In the question below some statements are given some conclusions followed by some statements. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of the following statement is true for given conclusions.

    Conclusions:

    I. All Passages can be Streets

    II. Some Footpaths are Roads 

    Statements:

    A No Footpath is a Street. Some Streets are Roads. All Roads are Passages. Correct Answer Incorrect Answer
    B All Roads are Footpaths. All Streets are Passages. All Footpaths are Streets. Correct Answer Incorrect Answer
    C Only a few Passages are Roads. Only a few roads are Streets. A few Streets are Footpaths. Correct Answer Incorrect Answer
    D Only a few Passages are Footpaths. All Passages are Roads. All Streets are Footpaths. Correct Answer Incorrect Answer
    E Both option (b) and option (d) are correct Correct Answer Incorrect Answer

    Solution

    From Statement I. Some Streets are Roads (I) + All Roads are Passages (A) → Some Streets are Passages (I) → Probable conclusion → All Passages can be Streets (A). Hence conclusion I follows. No Footpath is a Street (E) + Some Streets are Roads (I) → Some Roads are not Footpaths (O*). Hence conclusion II does not follow. From Statement II. All Streets are Passages (A) → Probable conclusion → All Passages can be Streets (A). Hence conclusion I follows. All Roads are Footpaths(A) → Conversion → Some Footpaths are Roads (I). Hence conclusion II follows. From Statement III. Only a few Passages are Roads (I) + Only a few roads are Streets (I) → Probable conclusion → All Passages can be Streets (A). Hence conclusion I follows. Only a few roads are Streets (I) + A few Streets are Footpaths (I) → No conclusion. Hence conclusion II does not follow. From Statement IV. Only a few Passages are Footpaths + [All Streets are Footpaths (A) → Conversion] → Some Footpaths are Streets (I) → Probable conclusion → All Passages can be Streets (A). Hence conclusion I follows.   Only a few Passages are Footpaths (I) + [All Passages are Roads (A) → Conversion] → Some Roads are Passages (I) → No conclusion. Hence conclusion II does not follow.

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