Java `Object` class:
The `Object` class is the root of the Java class hierarchy and provides fundamental methods that all Java objects inherit. Write a brief explanation of the significance of the `Object` class. Then, choose one or two key methods (e.g., `equals()`, `hashCode()`, `toString()`) and demonstrate how to override and use them in a custom class with a short Java code example.
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This provides a concise focus while still encouraging exploration of key concepts related to the Java `Object` class.