Step 1: Plan an elimination route.
Instead of testing the four options one by one from the start, we first pick the pairs we are surest about. Each sure pair removes the options that disagree with it. We then confirm the survivor against the remaining pairs.
Step 2: Use pair A.
Tiller of the Soil is a rural scene of an ordinary working villager. Hence A goes with II. This removes options 1 and 3 and 4. Options still alive: option 2.
Step 3: Use pair B.
Jamini Roy made flat, bold-outlined pictures from Kalighat pat painting, as in Woman and Child. Hence B goes with IV. No option is removed by this pair because every option still agrees with it. Options still alive: option 2.
Step 4: Use pair C.
Ravi Varma painted scenes from the epics, and this one comes from the Ramayana. Hence C goes with I. No option is removed by this pair because every option still agrees with it. Options still alive: option 2.
Step 5: Use pair D.
Gaganendranath Tagore used Cubist syntax in City in the Night. Hence D goes with III. No option is removed by this pair because every option still agrees with it. Options still alive: option 2.
Step 6: Why each rejected option fails.
Option 1 fails at A (it says I, but II is the right partner), B (it says II, but IV is the right partner), C (it says III, but I is the right partner), D (it says IV, but III is the right partner).
Option 3 fails at A (it says I, but II is the right partner), B (it says II, but IV is the right partner), C (it says IV, but I is the right partner).
Option 4 fails at A (it says III, but II is the right partner), D (it says II, but III is the right partner).
Step 7: Confirm the survivor.
Only option 2 is left. Reading it against all four verified pairs, A-II, B-IV, C-I, D-III, shows a complete match. The other options each break at least one verified pair, so none of them can be correct.
Final Answer:
The only option that survives every check is option 2.
\[ \boxed{2} \]