The question requires matching astronomical instruments from LIST-I with their types from LIST-II.

Matching Astronomical Instruments and Types

We need to match the following:

• LIST-I: A. Samrat Yantra, B. Digamsha Yantra, C. Ram Yantra, D. Jai Prakash
• LIST-II: I. Hemispheric instrument, II. Cylindrical instrument, III. Azimuth instrument, IV. Equinoctial Dial

Instrument Identification

Let's identify the characteristics of each instrument:

• Samrat Yantra: A large sundial, primarily functioning as an equinoctial dial to measure time.
• Digamsha Yantra: An instrument designed to measure azimuth (the horizontal direction angle of a celestial object).
• Ram Yantra: A structure, often cylindrical or pillar-like, used for measuring altitudes and shadow lengths.
• Jai Prakash: A sophisticated shadow instrument, often hemispheric in design, used for determining the declination and position of celestial bodies.

Matching Process

Based on the identification, we can establish the correct matches:

• Samrat Yantra is an Equinoctial Dial (A-IV).
• Digamsha Yantra measures Azimuth (B-III).
• Ram Yantra is often considered a Cylindrical instrument structure (C-II).
• Jai Prakash is a Hemispheric instrument (D-I).

Correct Option Verification

The derived matches are A-IV, B-III, C-II, D-I. This corresponds to Option 3 provided in the question.

Final Answer: The correct matching is A-IV, B-III, C-II, D-I.