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    Question

    Statements: Only a few lines are parallels.

    All parallels are perpendicular. No parallel is a triangle. Conclusions: I. All perpendicular being line is a possibility II. All triangle being perpendicular is a possibility. III. Some triangle are lines. In each of the questions below some statements are given followed by some Conclusions. You have to take 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 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 III follows Correct Answer Incorrect Answer
    D Only I and II follow Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Some lines are parallels (I) + All parallels are perpendicular (A) → Some lines are perpendicular (I) → Probable conclusion → All perpendicular may be line (A). Hence conclusion I follows. No parallel is a triangle (E) → Conversion → No triangle is a parallel (E) + All parallels are perpendicular (A) → Some perpendiculars are not triangle (O*) → Probable conclusion → All triangle may be perpendicular (A). Hence conclusion II follows. Some lines are parallels (I) + No parallel is a triangle (E) → Some lines are not triangle (O). Hence conclusion III does not follow.

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