Mention the name of the framework developed by Apache for processing large data set for an application in a distributed computing environment?

Hadoop and MapReduce is the programming framework developed by Apache for processing large data set for an application in a distributed computing environment.

The correct answer to this question is Apache Hadoop. Hadoop is an open-source framework developed by the Apache Software Foundation for distributed storage and processing of large datasets across clusters of computers using simple programming models. It provides a distributed file system (HDFS) for storing data and a framework (MapReduce) for processing it in parallel. Additionally, Hadoop ecosystem projects like Apache Spark, Apache Hive, Apache Pig, and others provide higher-level abstractions and tools for various data processing tasks within the Hadoop framework.