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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 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:     Some metals are minerals.                         All minerals are solids. Conclusions:    I All solids are made up of metals  and minerals.                         II some minerals are metals.

    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 Some metals are minerals \[\to \] I All minerals are solids \[\to \] A \[I+A=I\] Conclusion Some metals are solids From conversion             Some metals are minerals. \[\xrightarrow{Conversion}\] Some minerals are metals. All minerals are solids. \[\xrightarrow{Conversion}\] Some solids are minerals. Conversion of conclusion Some metals are solids. \[\xrightarrow{Conversion}\] Some solids are metals.


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