The question requires us to compare the Human Development Index (HDI) of India with those of the given countries as per the Human Development Report (2023-2024). We need to identify how many of these countries are performing better than India.

The Human Development Index (HDI) is a summary measure for assessing long-term progress in three basic dimensions of human development: a long and healthy life, access to knowledge, and a decent standard of living.

Let's analyze the HDI for the countries mentioned:

1. Sri Lanka: Traditionally, Sri Lanka has maintained a higher HDI compared to many South Asian countries due to its higher educational standards and healthcare facilities.
2. Myanmar: Myanmar generally has a lower HDI compared to India, influenced by political and economic factors.
3. Nepal: Nepal has shown improvements in human development but is usually slightly lower or close to India in HDI ranking.

As per the latest Human Development Report (2023-2024) data:

• Sri Lanka has an HDI score that often surpasses India's due to its more consistent social and economic policies.
• Myanmar and Nepal usually have lower HDI scores than India.

Thus, only one country, Sri Lanka, is performing better in terms of human development than India.

Conclusion: The correct answer is "One".