As per the UNDP, the rank of Sri Lanka in the Human Development Index (2022) is:

The correct option is
$\frac{73}{189}$
(which represents the 73rd rank out of 189 countries).

Understanding the Human Development Index (HDI):
The Human Development Index (HDI) is a statistical tool used by the United Nations Development Programme (UNDP) to measure and rank countries' levels of social and economic development. The index is composed of three key dimensions:
1. Decent Standard of Living: Measured by Gross National Income (GNI) per capita.
2. Long and Healthy Life: Measured by life expectancy at birth.
3. Knowledge: Measured by mean years of schooling for adults aged 25 years and more and expected years of schooling for children of school entering age.

Sri Lanka's HDI Rank (2021/2022):
In the Human Development Report for 2021/2022 published by the UNDP, Sri Lanka was positioned in the "High Human Development" category.
With an HDI value of 0.782, Sri Lanka secured the 73rd rank among the 189 countries and territories evaluated. This positioning is represented in the options as the fraction:
$\frac{73}{189}$