Step 1: Understanding ores and minerals.
Minerals are naturally occurring substances with a definite chemical composition. Ores are minerals from which metals can be extracted economically. All ores are minerals, but not all minerals are ores because not all minerals contain metals in a form that can be extracted profitably.
Step 2: Analysis of options.
(A) All ores are minerals: Correct — Ores are a subset of minerals, specifically those that contain metals that can be extracted.
(B) All minerals are ores: This is incorrect because not all minerals contain metals that can be economically extracted.
(C) A mineral cannot be an ore: This is incorrect because some minerals are ores, meaning they can be used to extract metals.
(D) An ore cannot be a mineral: This is incorrect because ores are actually minerals.
Step 3: Conclusion.
The correct answer is (A) because all ores are minerals, but not all minerals are ores.