Statements:
a. No book is a pencil.
b. All books are boards.
c. All boards are dusters.
d. No eraser is a duster.
Conclusions:
I. Some books are not dusters.
II. Some books are not boards.
III. Some boards are not pencils.
IV. Some erasers are not boards.
All books are boards (A) + All boards are dusters (A) = All books are dusters (A) ⇒ Conversion ⇒ Some dusters are books (I), Hence, Ist doesn’t follow. All books are boards (A) ⇒ Conversion ⇒ Some boards are books (I), Hence, IInd doesn’t follow No book is a pencil (E) ⇒ Conversion ⇒ No pencil is a book (E) + All books are boards (A) ⇒ Some boards are not pencils(O*). Hence IIIrd follows. All boards are dusters (A) + No duster is an eraser (E) ⇒ No board is an eraser (E) ⇒ Conversion ⇒ No eraser is a board ⇒ I.I ⇒ Some erasers are not boards (O*). Hence IVth also follows. Alternate Method-
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