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
Verbal Reasoning
Logical Deduction
Difficulty: Easy
Choose an option
Answer
Correct Answer: Only conclusion II follows
Explanation
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 reasoning1) 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 AnswerOnly conclusion II follows.