Logical Analysis of the Syllogism

We can determine the validity of the conclusions by combining the two given statements to form a logical chain.

The Statements:

1. All mangoes are golden in colour. (This means the entire category of "mangoes" is a sub-category of "golden-coloured things".)
2. No golden-coloured things are cheap. (This means the category of "golden-coloured things" and the category of "cheap" have no members in common.)

Combining the Statements

From the two statements, we can deduce a direct relationship between mangoes and cheap things. If every single mango belongs to the "golden-coloured" group, and nothing in the "golden-coloured" group is cheap, then it logically follows that no mango can be cheap.

Evaluating the Conclusions:

I) All mangoes are cheap.

• This conclusion directly contradicts our deduction that no mangoes can be cheap.
• Therefore, Conclusion I does not follow.

II) Golden-coloured mangoes are not cheap.

• According to the first statement, "all mangoes are golden in colour". This means the group "golden-coloured mangoes" is simply the group of "all mangoes".
• The conclusion can be rephrased as "All mangoes are not cheap".
• This perfectly matches our deduction from the combined statements.
• Therefore, Conclusion II follows.

Final Answer

Only Conclusion II logically follows from the given statements.