Civil Services Prep

Prelims 2022 · CSAT / Logical Reasoning · Question 38

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 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?

  1. Only Conclusion-I
  2. Only Conclusion-II
  3. Both Conclusion-III and Conclusion-IV
  4. None of the Conclusions follows

Answer

None of the Conclusions follows

Statement analysis:

  • S1: All pens are books → Pens are a subset of books.
  • S2: No chair is a pen → Chairs and pens have no overlap.

Conclusion-wise check:

  • I. All chairs are books → Not implied. Chairs are only said to be not pens; they may or may not be books. Does not follow.
  • II. Some chairs are pens → Directly contradicted by S2: no chair is a pen. Does not follow.
  • III. All books are chairs → Converse of S1; not supported. Does not follow.
  • IV. No chair is a book → Not implied. Chairs can still be books, as long as they are not pens. Does not follow.

Hence, none of the conclusions follows.

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