Two Statements followed by four Conclusions are given below. You have to take the Statements to be true even…
Two Statements followed by four Conclusions are given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows/follow from the Statements, disregarding the commonly known facts:
Statement-1: All pens are books.
Statement-2: No chair is a pen.
Conclusion-I: All chairs are books.
Conclusion-II: Some chairs are pens.
Conclusion-III: All books are chairs.
Conclusion-IV: No chair is a book.
Which one of the following is correct?
Only Conclusion-I
Only Conclusion-II
Both Conclusion-III and Conclusion-IV
None of the Conclusion follows
Solution
All pens are books and no chair is a pen. From the possible Venn diagrams, chairs may or may not overlap with books, so neither 'All chairs are books' nor 'No chair is a book' is definite. 'Some chairs are pens' contradicts statement 2. 'All books are chairs' is not supported. Hence none of the conclusions follows.