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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: Some houses are trains.                         All trains are fruits.                         Some fruits are skies. Conclusions:    I Some skies are houses                         II Some fruits are houses                         III Some trains are skies.                         IV All fruits are trains.

    A) Only II follow

    B) Only I follow

    C) Only II and IV follow

    D) Only II and III follow

    E) None of these

    Correct Answer: A

    Solution :

    (a) Statement All houses are trains \[\to \] (I) All trains are fruits \[\to \] (A) Some fruits are sky \[\to \] (I) \[I+A=I\] Conclusions: Some houses are fruits. From conversion, Some houses are trains \[\xrightarrow[Some\text{ }trains\text{ }are\text{ }houses]{From\text{ }conversion}\] Some trains are fruits \[\begin{align}   & \xrightarrow[Some\text{ }fruits\text{ }are\text{ }trains]{From\text{ }conversion} \\  & ~ \\ \end{align}\] Some fruits are sky \[\begin{align}   & \xrightarrow[Some\text{ }skies\text{ }are\text{ }fruits]{From\text{ }conversion} \\  & ~ \\ \end{align}\] Conversion of conclusion Some houses are fruits \[\begin{align}   & \xrightarrow[Some\text{ }fruits\text{ }are\text{ }houses]{From\text{ }conversion} \\  & ~ \\ \end{align}\]


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