Logical inference with quantifiers — from 'All the organised persons find time for rest; Sunita, despite a very busy schedule, finds time for rest', assess whether it necessarily follows that Sunita is organised or that she is industrious
-
AOnly conclusion I follows
-
BOnly conclusion II follows
-
CEither I or II follows
-
DNeither I nor II follows
-
EBoth I and II follow
Answer
Correct Answer: Neither I nor II follows
Explanation
Given data
- Premise 1: All organised persons ⇒ find time for rest.
- Premise 2: Sunita (busy schedule) ⇒ finds time for rest.
- Conclusions:
- I: Sunita is an organised person.
- II: Sunita is an industrious person.
Concept/Approach
Beware of the converse error: from 'All A are B' and 'X is B', you cannot conclude 'X is A'. Also, trait inference ('industrious') is not guaranteed merely from 'busy schedule' unless explicitly linked.
Step-by-step logic1) From 'organised ⇒ finds rest' and 'Sunita finds rest', concluding 'Sunita ⇒ organised' is converse fallacy ⇒ I does not follow.2) 'Industrious' is not stated; a busy schedule could arise from many causes (inefficiency, obligations). No necessity ⇒ II does not follow.
Verification/Alternative
Counterexample: A non-organised person could still find rest accidentally or through help; therefore I fails logically. No explicit link supports II.
Common pitfalls
- Assuming the converse of a universal conditional.
- Reading personality traits into neutral descriptors without support.
Final AnswerNeither I nor II follows.