Question

Statements: All mangoes are golden in colour. No golden-coloured things are cheap. Conclusions: I. All mangoes are cheap. II. Golden-coloured mangoes are not cheap.

• A. Only conclusion I follows
• B. Either I or II follows
• C. Only conclusion II follows
• D. Neither I nor II follows

Hint:

You can visualize syllogisms with circles (Venn diagrams). Draw a circle for 'Mangoes' completely inside a larger circle for 'Golden'. Then draw a separate circle for 'Cheap' that does not touch the 'Golden' circle at all. You will see that the 'Mangoes' circle is also completely separate from the 'Cheap' circle.

Answer 1

The Correct Option is C

This is a syllogism problem. Let's analyze the statements. 

Statement 1: "All mangoes are golden in colour." This means the set of all Mangoes (M) is a subset of the set of Golden-coloured things (G). (All M are G). 

Statement 2: "No golden-coloured things are cheap." This means the set of Golden-coloured things (G) and the set of Cheap things (C) are disjoint (mutually exclusive). (No G are C). 

Deduction from Statements: If all Mangoes are in the Golden set, and nothing in the Golden set is in the Cheap set, then it logically follows that nothing in the Mangoes set can be in the Cheap set. The definite conclusion is: No mangoes are cheap. 

Evaluating the Conclusions: \[\begin{array}{rl} \bullet & \text{Conclusion I: All mangoes are cheap. This directly contradicts our deduction ("No mangoes are cheap"). So, I does not follow.} \\ \bullet & \text{Conclusion II: Golden-coloured mangoes are not cheap. Since all mangoes are golden-coloured, this statement is equivalent to "All mangoes are not cheap" or "No mangoes are cheap." This matches our deduction perfectly. So, II follows.} \\ \end{array}\] Since only conclusion II logically follows, the correct option is (C).