Explanation

In this sentence, what follows the colon must explain or spell out what precedes it. So, roughly, what the second part must say is that as Caravaggio became more successful, his life got more out of control. When one looks for words to fill the blanks, it becomes clear that "tumultuous" is the best fit for blank (ii), since neither of the other choices suggests being out of control. And for blank (i), the best choice is "eminence," since to increase in eminence is a consequence of becoming more successful. It is true that Caravaggio might also increase in notoriety, but an increase in notoriety as an artist is not as clear a sign of success as an increase in eminence.

Thus the correct answer is Choice C (eminence) and Choice D (tumultuous).
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C,D

good one ..........

C & D
fill-in for the 2nd blank is quite evident - related to Caravaggio's life becoming a wreck / or a negative word (as "dispassionate" implies calmness).
for the 1st blank - the word must have reference to "success", hence eminence is the right option.

c d

Question:

Vain and prone to violence, Caravaggio could not handle success: the more his (i)__________ as an artist increased, the more (ii)__________ his life became.


Explanation:

We know that what follows the colon defines and/or describes what comes before it. We know that Caravaggio could not handle success. Therefore the sentence fragment after the colon should describe this state of affairs.

the more his (i)__________ as an artist increased, the more (ii)__________ his life became.

We know that he was vain, and this was one of the reasons for this failure to handle success. Since this factor (vanity) is often related to success, we can say that:

"the more he become successful as an artist, the more his life became miserable".

And the only word or the first blank which will suggest an increase in his success is eminence, that is the correct choice. Temperance indicates moderation, so we can safely eliminate it. We eliminate notoriety because an increase in notoriety does not indicate an increase in success (which he could not handle), but an increase in eminence does indicate an increase in success.

And the word that comes closest to indicating a life becoming miserable or getting worse, is tumultuous. Becoming dispassionate or providential does not look like the byproduct of not being successful.
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