Two-premise syllogism on colour and price: 'All mangoes are golden in colour' and 'No golden-coloured things are cheap' — judge whether all mangoes are cheap or whether golden-coloured mangoes are not cheap

Given data

• Premise 1: All mangoes ⇒ golden-coloured.
• Premise 2: No golden-coloured thing ⇒ cheap.
• Conclusions:
  • I: All mangoes are cheap.
  • II: Golden-coloured mangoes are not cheap.

Concept/Approach

Classical syllogism chain: All A are B; No B are C → No A are C.

Step-by-step reasoning
1) Mangoes ⊆ golden.2) golden ∩ cheap = ∅.3) Hence mangoes ∩ cheap = ∅ → mangoes are not cheap (which is exactly II).4) I contradicts the derived conclusion; therefore I does not follow.

Verification/Alternative

Venn diagram confirms mango set lies entirely within non-cheap region.

Common pitfalls

• Confusing 'no B are C' with 'some B are not C'.

Final Answer
Only conclusion II follows.