Step 1: Understanding the Concept:
This question tests knowledge of centers of origin of vegetable crops (Vavilov's theory).
Step 2: Detailed Explanation:
Water melon (A):
Origin: Tropical Africa (II).
Thus, A matches with II.
Bitter gourd (B):
Origin: Indo-Burma region (I).
Thus, B matches with I.
Carrot (C):
Origin: Afghanistan (IV).
Thus, C matches with IV.
Tomato (D):
Origin: Peru and Bolivia (III) - Andes region.
Thus, D matches with III.
Step 3: Final Answer:
Thus, the correct matching is A-II, B-I, C-IV, D-III, which corresponds to option (D).
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