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3 DEC SS Q.12

0. Given below are two premises with four conclusions drawn from them. Which of the following is valid conclusion drawn from the premises?
Premises: (i) All diaries are copies
(ii) No copy is book

Conclusions :(A) Some diaries are books
(B) Some books are copies
(C) No book is copy
(0) No diary is book
Choose the correct option:

  • Option : B
  • Explanation : This is an AEE type syllogism where premises 'All X are Y'(A), and 'No Y are Z'(E), lead to the conclusion 'No Z are X' (E). So, the conclusion of the given premises will be 'No book is diary'.
    Conversion yields an equivalent proposition (and is hence a valid inference). Option (d) 'No diary is book' is the converse of this conclusion; hence, valid. Also, option (c) 'No book is copy' is the converse of the
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