The correct answer is option-3: 1 and 3 only.

Let`s examine each statement to understand why this is the correct answer:

1. The statement that precipitation in Mediterranean climate is in winter while in Monsoon climate it is mostly in summer is correct. In Mediterranean climate, the majority of rainfall occurs during the winter months, while in Monsoon climate, the rainy season typically occurs during the summer months when warm, moist air from the ocean is drawn inland.

2. The statement that the annual range of temperature in Mediterranean climate is higher than the Monsoon climate is incorrect. The annual temperature range is generally greater in the Monsoon climate due to the influence of seasonal wind patterns. These wind patterns cause larger fluctuations in temperature compared to the relatively milder climate of the Mediterranean region.

3. The statement that both Mediterranean and Monsoon climates have rainy and dry seasons is correct. Both climates experience distinct wet and dry seasons throughout the year. In the Mediterranean climate, the rainy season is typically in winter, while in the Monsoon climate, the rainy season is usually in summer, as mentioned before.

Therefore, only statements 1 and 3 are correct, making option-3 the correct answer.