Assume that the given statements are true, disregarding commonly known facts,…
2016
Assume that the given statements are true, disregarding commonly known facts, and decide which conclusions logically follow from the statements.
Statement :
No school is a post office.
All banks are post offices.
All post offices are postmen.
Conclusion :
I. No school is a postman.
II. All banks are postmen.
III. Some postman is not school.
IV. No bank is school.
- A.
Only conclusions II, III and IV follow.
- B.
All conclusions follow.
- C.
Then only conclusions I or IV, and III follow.
- D.
Either only conclusion I or IV follows.
Attempted by 3 students.
Show answer & explanation
Correct answer: A
1. Draw Venn diagrams: Schools are separate from Post Offices. Banks are inside Post Offices. Post Offices are inside Postmen. 2. Deductions: (II) Banks are in Postmen (True). (III) Postmen who are Post Offices are not Schools (True). (IV) Banks being inside Post Offices cannot be Schools (True). 3. Conclusion I: While no School is a Post Office, some Postmen might be Schools, so I is not definitively true. Final Answer: Option A