The correct answer is option 'D' - 14 years. The government is responsible for providing free and compulsory education to all children up to the age of 14 years. This provision is an essential component of ensuring equal opportunities for all children and promoting inclusive and equitable education.

Explanation:

Importance of Education:
- Education is a fundamental right of every child, recognized internationally as well as in national laws. It plays a crucial role in the overall development and empowerment of individuals.
- Access to quality education equips children with knowledge, skills, and values necessary for their personal growth, future employment prospects, and active participation in society.

Compulsory Education:
- Compulsory education refers to the legal requirement for children to attend school for a specified period. It ensures that all children have the opportunity to receive an education and prevents any form of discrimination or exclusion.
- The government's responsibility to provide compulsory education is based on the principle of equal access and the belief that education is a public good that benefits society as a whole.

Age Limit of 14 years:
- The age limit of 14 years for free and compulsory education is based on the Right to Education Act (RTE) in India. The RTE Act, enacted in 2009, made education a fundamental right for children aged 6-14 years.
- The Act mandates that every child in the age group of 6-14 years has the right to free and compulsory education in a neighborhood school. It also prohibits any form of discrimination and ensures the quality of education provided.

Benefits of Free and Compulsory Education:
- Free and compulsory education has several benefits. It promotes universal access to education, especially for marginalized and disadvantaged groups.
- It reduces the dropout rate and ensures that children complete their primary education, laying a strong foundation for their future academic and personal growth.
- It helps in bridging the education gap between different social groups, promoting social inclusion, and reducing inequalities.

Conclusion:
The government's responsibility to provide free and compulsory education up to the age of 14 years reflects the commitment to ensure equal educational opportunities for all children. This provision is crucial for promoting inclusive and equitable education and empowering individuals to lead fulfilling lives.