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12th Class Mental Ability Logical Venn Diagram Question Bank Question - Syllogism

  • question_answer
    Directions: In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV. 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. Statements:     All branches are roads.                         Some roads are dogs.                         All dogs are rains. Conclusions:    I. Some rains are dogs.                         II. Some rains are branches.                         III. Some rains are roads.                                     IV. All roads are branches.

    A) None follow

    B) Only I, II and III follow

    C) Only II, III and IV follow

    D)        Only I and III follow

    E) All follow

    Correct Answer: E

    Solution :

    (d) Statements All branches are roads \[\to \] (a) Some roads are dogs \[\to \] (I) All dogs are rain \[\to \] (a) Here: \[I+A=I\] Conclusions Some roads are rain. From conversion All branches are roads. \[\xrightarrow[Some\text{ }roads\text{ }are\text{ }branches]{From\text{ }conversion}\] Some roads are dogs \[\xrightarrow[Some\text{ }dogs\text{ }are\text{ }roads]{From\text{ }conversion}\] All dogs are rain \[\xrightarrow[Some\text{ }rains\text{ }are\text{ }dogs]{From\text{ }conversion}\] Conversion of conclusion: Some roads are rain \[\xrightarrow[Some\text{ }rains\text{ }are\text{ }roads]{From\text{ }conversion}\]


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