Step 1: Understanding the Concept:
The question gives two separate factual statements about India's organic farming setup and asks whether each one is correct on its own.
Step 2: Key Formula or Approach:
Check each statement against what is actually true about APEDA's role and about when PKVY was launched, then combine the two results into the matching option.
Step 3: Detailed Explanation:
Statement (I) says APEDA, under the Ministry of Commerce, is the key accreditation agency for organic farming in India. This is correct, APEDA is the nodal body for the National Programme for Organic Production (NPOP) and it accredits the certification agencies that in turn certify organic farms and products.
Statement (II) says the Paramparagat Krishi Vikas Yojana (PKVY) was started during the XII Plan to promote organic farming. This is also correct, PKVY was launched in 2015 as a sub scheme of the National Mission on Sustainable Agriculture, and 2015 falls inside the XII Five Year Plan period of 2012 to 2017.
Since both facts check out, neither statement is false, which rules out the options that call one or both statements incorrect.
Step 4: Final Answer:
Both Statement (I) and Statement (II) are correct, so option 1 is the right choice.