Statement 1: The inflation in India is primarily measured by using Wholesale Price Index (WPI) and Consumer Price Index (CPI).
Statement 2: The measurement of core inflation does not include the rising prices of the food and energy sector.

Explanation:
Statement 1: The inflation in India is primarily measured by using Wholesale Price Index (WPI) and Consumer Price Index (CPI).
- The Wholesale Price Index (WPI) measures the average change in prices of goods at the wholesale level in India. It includes a basket of commodities including food items, fuel, manufactured products, etc., and is primarily used to analyze inflation trends in the manufacturing and wholesale sectors.
- The Consumer Price Index (CPI) measures the average change in prices of goods and services consumed by urban and rural households. It includes a basket of goods and services such as food, fuel, housing, clothing, transport, etc., and is primarily used to analyze inflation trends at the retail level and its impact on consumers.
- Both WPI and CPI are important indicators of inflation in India, but they capture different aspects of the economy. WPI focuses on wholesale prices, while CPI focuses on retail prices. Therefore, statement 1 is correct.

Statement 2: The measurement of core inflation does not include the rising prices of the food and energy sector.
- Core inflation is a measure of inflation that excludes certain volatile components that can distort the overall inflation rate. It provides a better indication of underlying inflation trends.
- The rising prices of food and energy are often considered volatile and can be influenced by factors such as weather conditions, global commodity prices, etc. Therefore, core inflation excludes these components to provide a more stable measure of inflation.
- However, it is important to note that the definition of core inflation may vary across countries and institutions. In some cases, core inflation may exclude only the energy prices, while in others, it may also exclude food prices.
- In the context of India, the Reserve Bank of India (RBI) publishes a measure of core inflation known as the "CPI (C)" which excludes food and beverages from the CPI basket. This measure is used by the RBI to assess underlying inflationary pressures and formulate monetary policy.
- Therefore, statement 2 is also correct.

Conclusion: Both statement 1 and statement 2 are correct. The inflation in India is primarily measured using Wholesale Price Index (WPI) and Consumer Price Index (CPI), and the measurement of core inflation excludes the rising prices of the food and energy sector.