The statement claiming that the Standard Mark of Bureau of Indian Standards (BIS) is mandatory for automotive tyres and tubes is correct. The BIS, under the Bureau of Indian Standards Act, 2016 requires mandatory certification of critical auto components including tyres and tubes for standard, quality and safety parameters. Hence, option 1 is correct.

The assertion that AGMARK is a quality Certification Mark issued by the Food and Agriculture Organisation (FAO) is incorrect. AGMARK is indeed a certification mark that denotes standards of quality, but it is issued by the Directorate of Marketing and Inspection (DMI), an agency under the Ministry of Agriculture and Farmers Welfare in India, and not by the Food and Agriculture Organisation (FAO). Hence, option 2 is not correct.

Therefore, the answer "1 only" is the correct choice as only the first statement is true. Options 3 (Both 1 and 2) and 4 (Neither 1 nor 2) are incorrect.