Below is my step-by-step process to answering this question.
1.) Read the question stem and identify what the question is asking you to do.
- Because the stem says, "...if true, casts the most serious doubt...", this is a Weaken question.
2.) Read, breakdown, and understand the argument.
"A child learning to play the piano will not succeed unless the child has an instrument at home on which to practice."
- learning + having an instrument at home = success
"However, good-quality pianos, whether new or secondhand, are costly. Buying one is justified only if the child has the necessary talent and perseverance, which is precisely what one cannot know in advance."
- These statement are almost paradoxical; HOW can a student have the foresight of their skill level in order for it to justify his or her purchasing of an expensive instrument?
- Because these statements need to be resolved, there is, hopefully, a reason coming...
"Consequently, parents should buy an inexpensive secondhand instrument at first and upgrade if and when the child's ability and inclination are proven."
- This statement is the conclusion and is depending on the unstated assumption, or "reason" mentioned above, of "the quality of an instrument does not lead to an increase in ability".
3.) Rearticulate the conclusion, what it depends on, and what you need to do.
- Parents, without knowing whether their child will become skilled, should buy an inexpensive instrument at first, as opposed to an expensive one, because <unstated assumption> (unstated assumption = "the quality of the instrument does not lead to an increase in ability").
- We need an answer choice that weakens the unstated assumption of "the quality of the instrument does not lead to an increase in ability".
4.) Go through the answer choices, one by one, and determine HOW each affect the argument
(A) Learners, particularly those with genuine musical talent, are apt to lose interest in the instrument if they have to play on a piano that fails to produce a pleasing sound.
- This answer choice, by saying that a talented student will lose interest if the instrument sounds bad, WEAKENS our previously "unstated assumption" by making it FALSE. If, in fact, instrument quality did NOT lead to an increase in ability, then the student's skill, due to his or her maintained interest, would improve REGARDLESS of the unpleasant sound, and would not be deterred.
(B) Reputable piano teachers do not accept children as pupils unless they know that the children can practice on a piano at home.
- This answer choice is a "frameshift" (addresses the wrong conclusion): it does not affect the argument's conclusion, which depends on our unstated assumption ("the quality of the instrument does not lead to an increase in ability").
(C) Ideally, the piano on which a child practices at home should be located in a room away from family activities going on at the same time.
- This answer choice is a "frameshift" (addresses the wrong conclusion): the LOCATION of the piano has nothing to do with the QUALITY of the piano.
(D) Very young beginners often make remarkable progress at playing the piano at first, but then appear to stand still for a considerable period of time.
- This answer choice is a "frameshift" (addresses the wrong conclusion): the PROGRESS of a student is not what the argument is about.
(E) In some parents, spending increasing amounts of money on having their children learn to play the piano produces increasing anxiety to hear immediate results.
- This answer choice is a "frameshift" (addresses the wrong conclusion): the affect of the piano purchase on the PARENTS is not what the conclusion is about.
5.) Choose the answer choice with the greatest and clearest negative impact.
(A) Learners, particularly those with genuine musical talent, are apt to lose interest in the instrument if they have to play on a piano that fails to produce a pleasing sound.
- Answer choice "A" has no contenders.