Discussion
‘When it is raining, peacocks dance.’
Based only on this sentence, which one of the following options is necessarily true?
Answer: C
The statement that must be true is When peacocks are not dancing, it is not raining.
The sentence has the form 'if it is raining (R), peacocks dance (D)', that is R → D. A conditional is logically equivalent to its contrapositive, not-D → not-R: if the peacocks are not dancing, it cannot be raining, since rain would have made them dance.
'Peacocks dance only when it is raining' and 'When peacocks dance, it is raining' both state the converse, D → R: peacocks might also dance for other reasons. 'When it is not raining, peacocks do not dance' is the inverse, not-R → not-D, which is equivalent to the converse and equally unsupported.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development