Step 1: What ICAR is.
ICAR stands for the Indian Council of Agricultural Research. It is the top body that plans and runs farm research and farm education in India.
Step 2: When it started.
It was set up in the year 1929. At that time it was called the Imperial Council of Agricultural Research. The idea came from the Royal Commission on Agriculture. So the date you need is 1929, not 1880, 1905 or 1970.
Step 3: Pick the option.
Among the four choices, only 1929 matches the founding year.
\[ \boxed{1929} \]