Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some cooks are poets.
All poets are priests.
Some priests are doctors.
Conclusions:
I. Some cooks are priests.
II. Some priests are cooks.
III. All doctors are priests.
IV. Some doctors are priests.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusions I, II and IV follow.
The least possible Venn diagram:
Conclusions:
I. Some cooks are priests → True (As Some cooks are poets and All poets are priests so, Some cooks are priests is true)
Il. Some priests are cooks → True (As Some cooks are poets and All poets are priests so, Some priests are cooks is true)
III. All doctors are priests → False (As Some priests are doctors so, All doctors are priests is false)
IV. Some doctors are priests → True (As Some priests are doctors so, Some doctors are priests is true)
Hence, the correct answer is Only conclusions I, Il and IV follow.