Question
Statements:Â Â Â Â Â 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 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.Solution
 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-Â
Who became the first Indian-origin singer to win an American Music Award in 2025?Â
What was the gross GST collection in June 2025, marking a four-month low?Â
What restoration effort involved community engagement and traditional water conservation methods in Mehrauli?
Which Indian state will host the FIH Hockey Men's Junior World Cup in December 2025?
What was the GST collection in India for July 2024?
Who won India’s first gold medal at the Asian Athletics Championships 2025?
Which Chinese nuclear fusion reactor broke the 403-second record by sustaining plasma for 1,000 seconds?
Which city was named the most livable city in the world for 2024 by the Economist Intelligence Unit (EIU)?
What does the Kerala Forest Department’s Vithoot programme primarily aim to achieve?Â
What major change is ICC considering for Test cricket in the 2027–29 WTC cycle?Â