Questions: Maslow and McGregor focused on the study of human relations as it relates to increasing worker productivity.

The answer is A: human relations.

Explanation for each option:

A. Human relations: This is the correct answer. Both Maslow and McGregor are well-known for their contributions to the field of human relations in the context of organizational behavior and management. Maslow is famous for his hierarchy of needs theory, which suggests that fulfilling employees' psychological and self-fulfillment needs can lead to increased motivation and productivity. McGregor is known for Theory X and Theory Y, which describe different managerial styles and their impact on worker motivation and productivity.

B. Communities: While communities can be related to human relations, Maslow and McGregor specifically focused on individual motivation and management styles within organizations rather than broader community dynamics.

C. Physical movement: This option is incorrect. Neither Maslow nor McGregor focused on physical movement as a primary factor in increasing worker productivity. Their theories are more concerned with psychological and managerial aspects.

D. Mathematics: This option is incorrect. Maslow and McGregor did not focus on mathematics in their studies related to worker productivity. Their work is centered around human behavior and management theories.