Step 1: Statement (A) is correct: the plan inspection method is a quick, simple approach suited to fields that are already fairly flat or have only moderate slope.
Step 2: Statement (B) is correct: the profile method literally plots ground profiles along the grid lines and then fits the required grade onto those profiles.
Step 3: Statement (C) is correct: the contour adjustment method works by trial and error shifting of the contour lines drawn on the plan.
Step 4: Statement (D) is incorrect as stated: the contour adjustment method is meant for fields with appreciable, uneven or undulating topography, not specifically for smoothening already flat land.
Step 5: Statement (E) is incorrect: the plane method (fitting a single best fit plane to the field elevations) is actually one of the more commonly applied methods, not a rarely used one.
So the correct statements are (A), (B) and (C) only, option 3.