“When it is raining, peacocks dance.” Based only on this sentence, which one…
2026
“When it is raining, peacocks dance.”
Based only on this sentence, which one of the following options is necessarily true?
- A.
Peacocks dance only when it is raining.
- B.
When peacocks dance, it is raining.
- C.
When peacocks are not dancing, it is not raining.
- D.
When it is not raining, peacocks do not dance.
Attempted by 5 students.
Show answer & explanation
Correct answer: C
Let R mean “it is raining” and D mean “peacocks dance”.
The given sentence says: R -> D.
The only logically equivalent necessary statement among the options is the contrapositive: not D -> not R.
In words, if peacocks are not dancing, then it is not raining.
Therefore, the necessarily true option is: “When peacocks are not dancing, it is not raining.”
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