Food Science

Step 1: Define the stages of egg white foam and their properties.
A. Slightly beaten (Frothy): Egg whites are just broken up and foamy. They are liquidy and used to add some leavening or bind ingredients. This is suitable for III. Thickening sauces or as a wash.
B. Stiff foam (Soft peaks): Foam is white and holds its shape, but the peaks curl over when the beater is lifted. This stage is good for folding into batters and mousses, or for use in products like II. Ice cream to add lightness.
C. Stiff (Stiff peaks): Foam is very white, holds its shape perfectly, and the peaks point straight up. This provides the most stable structure, essential for making IV. Meringues.
D. Dry (Overbeaten): The foam looks curdled and loses its gloss. The protein structure has been broken. It is generally not desirable for any use. The pairing with I. Shirred egg is likely a distractor or an error in the question, as shirred eggs use whole eggs, not foams.
Based on the strongest matches, A-III and C-IV are the most certain. Option (C) contains both of these certain matches.