This analogy classifies items by their biological category. A mango is classified as a fruit. Similarly, a potato is botanically classified as a root vegetable (specifically a tuber), making 'Root' the correct classification in this context.

An ornithologist is a scientist who specializes in the study of birds. Similarly, an anthropologist is a scientist who specializes in the study of mankind, including human societies, cultures, and their development over time. This analogy correctly maps the field of study to its respective subject matter.

The relationship between 'Push' and 'Pull' is one of antonyms, representing opposite physical actions. Similarly, 'Throw' and 'Pick' (or pick up) represent opposite actions in a physical context, making 'Pick' the correct logical choice for this analogy.

Condolence is an expression of sympathy offered in response to a loss. Similarly, congratulation is an expression of praise or approval offered in response to an achievement or success.

A magazine is a container or medium that holds specific items like stories and articles. Similarly, a bed is a piece of furniture that is typically equipped with or contains items such as a quilt and a pillow. This analogy maps the relationship between a primary object and its constituent parts.

The analogy is based on synonyms or related actions. To 'denigrate' someone or something is to 'devalue' their status or reputation. Similarly, to 'upgrade' something is to improve its status, which is synonymous with the action of 'promoting' it to a higher level or rank. This maintains the semantic relationship between the two pairs.

The relationship is defined by an object and the specific path or channel it travels along. A train is designed to move along a track. Similarly, a bullet is designed to travel through the barrel of a firearm.

The relationship here is a part-to-whole association. Bones and nerves are distinct components that make up the structure of a body or skeleton. Similarly, doors and windows are distinct components that are integrated into the structure of a house. This identifies the relationship between individual parts and the larger entity they constitute.

The relationship between 'Goggles' and 'Eyes' is one of protection, where the first item is a protective gear worn over the second body part. 'Gloves' serve as protective gear for the 'hands', making this the most accurate analogy among the provided choices.

The relationship is defined by the primary object that a professional manages or handles. A librarian is responsible for the organization and management of books. Similarly, a banker is primarily responsible for the management, transaction, and safeguarding of money. Thus, money is the correct object that completes the analogy for the banker.