Quick Solution

This is a syllogism problem. We can solve it by combining the two statements to see what can be logically concluded. Using a Venn diagram is a very clear way to visualize the relationships.

1. Visualizing the Statements with a Venn Diagram

• Statement i: "All mangoes are golden in colour." This means the set of all "Mangoes" must be completely inside the set of "Golden Things".
• Statement ii: "No golden coloured things are cheap." This means the set of "Golden Things" and the set of "Cheap Things" must be completely separate, with no overlap at all.

Combining these two rules gives us the following relationship:

The "Mangoes" circle is inside the "Golden" circle, which is completely separate from the "Cheap" circle.

2. Evaluating the Conclusions

Now we can check the given conclusions against our diagram and logical deductions:

• Conclusion i: "All mangoes are cheap." The diagram shows that the "Mangoes" circle and the "Cheap Things" circle are completely separate. There is no overlap. Therefore, this conclusion is false.
• Conclusion ii: "Golden coloured mangoes are not cheap." Since all mangoes are golden things, and no golden things are cheap, it must be true that mangoes are not cheap. The diagram confirms this, as the "Mangoes" circle does not overlap with the "Cheap Things" circle. Therefore, this conclusion is true.

Final Answer: Only conclusion (ii) follows.