Investigacion Basica, Aplicada Y Tecnológica 

The popularization of research occurred in the 20th century (XX in Roman numerals). This was a time of significant advancements in various fields of study, leading to increased public interest and awareness of research and its importance. The 21st century (XXI in Roman numerals) is the current century, so it cannot be the correct answer. The answer II is incorrect as it represents the 2nd century, which is too early for the popularization of research. The answer IV is also incorrect as it represents the 4th century, which is too late for the popularization of research.

The statement is true because the phases of applied research are indeed planning, execution, and communication of results. In the planning phase, researchers identify the problem, set objectives, and design a research plan. During the execution phase, data is collected, analyzed, and interpreted. Finally, in the communication phase, the researchers share their findings with the relevant stakeholders through reports, presentations, or publications. These three phases are essential in ensuring that the research is conducted effectively and the results are properly communicated to contribute to knowledge and decision-making processes.

La investigación aplicada se basa en la solución de problemas. Este enfoque implica la aplicación de conocimientos y técnicas científicas para abordar y resolver problemas prácticos en diversos campos. La investigación aplicada busca encontrar soluciones efectivas y prácticas para los problemas identificados, utilizando métodos científicos y evidencia empírica. Por lo tanto, la opción "solucionar problemas" es la respuesta correcta ya que resume el propósito principal de la investigación aplicada.

Applied research seeks to put knowledge into practice by utilizing and applying the findings. It is distinguished by its close connection with basic research and relies on the results and discoveries. Therefore, selecting "todas las anteriores" (all of the above) is the correct answer as it encompasses all the mentioned characteristics of applied research.

The statement "La investigación tecnológica es la actividad que permite descubrir nuevos paradigmas" translates to "Technological research is the activity that allows discovering new paradigms." The correct answer is False because while technological research can contribute to the discovery of new paradigms, it is not the only activity that allows it. Other activities such as scientific research, social analysis, and creative thinking can also lead to the discovery of new paradigms.