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    Question

    Statements:┬а ┬а ┬а ┬а ┬а No book is a

    pencil. All books are boards. All boards are dusters. No eraser is a duster. Conclusions: I. Some books are not dusters. II. Some books are not boards. III. Some boards are not┬а pencils. IV. Some erasers are not boards. In each of the questions below are given four statements followed by four conclusions numbered I, II and III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.
    A Only I follows Correct Answer Incorrect Answer
    B Only IV follows Correct Answer Incorrect Answer
    C Only III and IV follow Correct Answer Incorrect Answer
    D All follow Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ┬аAll books are boards (A) + All boards are dusters (A) = All books are dusters (A) тЗТ Conversion тЗТ Some dusters are books (I), Hence, Ist doesnтАЩt follow. All books are boards (A) тЗТ Conversion тЗТ Some boards are books (I), Hence, IInd doesnтАЩt follow No book is a pencil (E) тЗТ Conversion тЗТ No pencil is a book (E) + All books are boards (A) тЗТ Some boards are not ┬а pencils(O*). Hence IIIrd follows. All boards are dusters (A) + No duster is an eraser (E) тЗТ No board is an eraser (E) тЗТ Conversion тЗТ No eraser is a board тЗТ I.I тЗТ Some erasers are not boards (O*). Hence IVth also follows. Alternate Method-┬а

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