Syllogism — Decide which conclusion(s) follow from the premises: Statements: • All mangoes are golden in colour. • No golden-coloured thing is cheap. Conclusions: I. All mangoes are cheap. II. Golden-coloured mangoes are not cheap.
-
AOnly Conclusion I follows
-
BOnly Conclusion II follows
-
CEither Conclusion I or Conclusion II follows
-
DBoth Conclusions I and II follow
-
ENone of these
Answer
Correct Answer: Only Conclusion II follows
Explanation
Introduction / Context:This is a straightforward application of subset and disjointness: all mangoes fall inside the set of golden things, and golden things are excluded from “cheap.”
Given Data / Assumptions:
- Mango ⊆ Golden.
- Golden ∩ Cheap = ∅.
Concept / Approach:If all Mangoes are Golden, and Golden things are not Cheap, then Mangoes cannot be Cheap. A universal negative about Mangoes and Cheap follows; the offered conclusion II is a natural phrasing of that fact. Conclusion I contradicts the premises.
Step-by-Step Solution:1) From Mango ⊆ Golden and Golden ∩ Cheap = ∅, deduce Mango ∩ Cheap = ∅.2) Therefore, “Golden-coloured mangoes are not cheap” is necessarily true (indeed, all mangoes are not cheap).3) “All mangoes are cheap” directly contradicts step 1 and is false.
Verification / Alternative check:Diagram: Mangoes inside Golden; Cheap as a disjoint region from Golden. There is no overlap between Mangoes and Cheap.
Why Other Options Are Wrong:Any option that includes I is inconsistent with the premises; “both” or “either” cannot hold.
Common Pitfalls:Overlooking that a property of a superset (Golden not being Cheap) transfers to all of its subsets (Mangoes).
Final Answer:Only Conclusion II follows.