In the context of galaxy evolution through interactions, particularly merging or interacting galaxies, the two factors you mentioned that are likely to affect the outcome of such interactions are:
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Proportion of Gas: The amount and distribution of gas in a galaxy can have a significant impact on how it evolves post-merger. Galaxies with a higher proportion of gas can lead to more significant star formation during and after the merger. Gas-rich galaxies can also have different dynamics compared to gas-poor galaxies during a collision.
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Galaxy Size and Mass: Although you didn't mention this specifically, the comparison of sizes and masses also plays a crucial role. Larger and more massive galaxies can dominate the interaction and exert more gravitational influence, which can impact the merger's dynamics and outcomes.
In the context of your quiz, if you had to select the two factors from a predefined list, based on your mention, it seems the most fitting options would be:
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Ice Age compared to that of the other Galaxy: While this factor isn't typically used in galaxy evolution discussions, if interpreted as how "cold" or "old" the star population is, it could suggest the evolutionary state of the galaxies involved.
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Proportion of Gas compared to that of the other Galaxy: This is a significant factor.
So, if the quiz's correct answers focus on what influences galaxy mergers, the proportion of gas in relation to each galaxy is definitely relevant, but "Ice Age" would need clarification or context to determine its relevance in terms of actual star formation rates or evolution.