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

  • question_answer
    Directions: In each of the questions below are given two statements followed by two conclusion numbered I and II. You have to take the two given statements to be true even if they seems to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements:     All ducks are pigeons.                         All pigeons are crows. Conclusions:    I Some crows are ducks                         II Some crows are pigeons.

    A)  If only conclusion I follows.

    B)  If only conclusion II follows.

    C) If either I or II follows.

    D) If neither I nor II follows.

    E) If both I and II follow.

    Correct Answer: E

    Solution :

    (e) Statements All ducks are pigeons \[\to \] A All pigeons are crows \[\to \] A \[A+A=A\] Conclusion: All ducks are crows. From conversion All ducks are pigeons \[\xrightarrow{Conversion}\] Some pigeons are ducks. All pigeons are crows. \[\xrightarrow{Conversion}\] Some crows are pigeons. Conversion of conclusion, All ducks are crows. \[\xrightarrow{Conversion}\] Some crows are ducks.             Both conclusion I and II follow.


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