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sarphant123
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Pre-thinking:

First boldface: A position/explanation/claim that the argument opposes.
Second boldface: A finding/evidence that supports the position that the argument defends.

The position that the argument defends: the real reason why mathematicians over thirty rarely produce groundbreaking work is not that they have simply aged but rather that they generally have spent too long in their field.

Let us examine the first halves of the answers:

(A) The first is a theory that is questioned by the argument; This is correct. We can hold on to this option.

(B) The first is a theory that the argument opposes; This is correct. We can hold on to this option.

(C) The first is an opinion advanced in support of a position; While it can be considered an opinion, it does not support any other position here. Eliminate.

(D) The first is a theory advocated by the argument; Incorrect. The argument opposes the first BF. Eliminate.

(E) The first is a theory that the argument questions; This is correct. We can hold on to this option.

Let us examine the second halves of the answers:

(A) the second is new evidence used to support that theory. Incorrect. The second is opposed to the first (the theory). Eliminate.

(B) the second is an objection raised against the alternative theory advocated by the argument. The second opposes the theory itself and not any alternate theory. Eliminate.

(E) the second is new evidence on which that question is based. Correct answer.

Hope this helps.
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