Take two examples: “I like pizzas” vs “I don’t dislike pizzas”.
The first states that I actually like pizzas while the second says that I may or may not like pizzas. I simply don’t have any dislike towards the pizzas.
the same is true for “like” and “not unlike”.
The first means similar while the second means that they are not different.
In our case we probably need “like”, because in both painting and sports, the instruments you use have similar traits.
Moreover, there is no correct choice on the GMAT that has a structure “unlike verbing”.
“at other times” vs “other time”.
“at other times” refers to periods of time while “other times” refers to sequence, kind of “first time, I could lift it but other times I was unable”.
In our case we need the former.
“comma + but” can be followed both by a complete sentence or by a fragment parallel to something that preceded “but”
“comma + but” doesn’t always signal an independent clause and there are many such correct choices on the GMAT.
Keeping this in mind, let’s move further.
(A) like playing a sport with a tool of the trade—whether a bat, club, racket, or stick—sometimes the implement is your best friend, but at other times it is your worst enemy
correct because it uses “but at other times”. Additionally, “like” correctly signifies similarity. Morover, “it is your” at the end eliminated a possible ambiguity present in C.
(B) not unlike playing a sport with a tool of the trade—whether a bat, a club, a racket, or a stick—sometimes the implement is your best friend, other times your worst enemy
Incorrect because illogically uses “other time”. a conjunction “but” is missed, so we have a comma splice. “other times your worst enemy” may mean that “other times your worst enemy is your best friend”. Not the intended meaning.
There is no correct choice on the GMAT that has a structure “unlike verbing”.
(C) not unlike playing a sport with a tool of the trade—whether a bat, club, racket, or stick—sometimes the implement is your best friend, but at other times your worst enemy
There is no correct choice on the GMAT that has a structure “unlike verbing”. “other times your worst enemy” may mean that “other times your worst enemy is your best friend”. Not the intended meaning.
take an easier example: “sometimes joy is your best motivator, but at other times pain”.
Possible interpretations:
1. sometimes joy is your best motivator, but at other times pain is your best motivator.
2. sometimes joy is your best motivator, but at other times joy is your pain.
Ambiguous
(D) like playing a sport with a tool of the trade—whether a bat, a club, a racket, or a stick—sometimes the implement is your best friend, but other times your worst enemy
Incorrect because illogically used “other time”.
Has similar ambiguity as in C and D.
(E) like playing a sport with a tool of the trade—whether a bat, club, racket, or stick—sometimes the implement is your best friend, but other times it is your worst enemy
Incorrect because illogically uses “other time”.
So A
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Everything is relative, including relativity itself.