Official Explanation
A question about an automobile’s transmission system.
Split #1: idiom
The verb “allow,” by itself, means to give permission. The subject could be a human being (or a governmental body) who is in position to grant permission.
The teachers allows student to chew gum in class.
The law does not allow car drivers to talk on the phone.
The subject also could be something inanimate, perhaps mechanical: here, it would not be about “permission,” but about accommodating a possible range, as of motion, within the mechanical tolerance of the construction. In this construction, we also need the infinite: allow X to do Y. This is the structure that choice (D) has.
The idiomatic structure “allow for” is used only for inanimate objects, primarily mechanical objects: it also indicates a possible range.
Amphibious vehicles allow for travel on both land and water.
The human shoulder joint allows for 360° rotation in a vertical plane.
In this SC question, we are discussion an “automobile’s transmission,” an inanimate mechanical object. We could use this second idiom, “allow for.” Choice (A) & (B) & (C) make this choice.
Choice (E) doesn’t follow either pattern correctly and is idiomatically incorrect.
Split #2: the Inside/Outside rule
One important rule about parallelism is the Once Outside, Twice Inside rule. This rule comes into effect when we have correlated conjunctions—that is, a coupled pair of conjunctions marking the two halves of the parallelism: examples include “both X and Y,” “neither X nor Y,” “not X but Y,” and “not only X but also Y.” When any of these are used, the parallelism has a clear start at the beginning of the first word. Anything that is within the “both X and Y” structure is “inside,” and anything that comes before or after it is “outside.” Now, suppose a preposition applies to words in both branches of the parallelism. We have two options:
Once Outside: to both X and Y
Twice Inside: both to X and to Y
In this question, we could have
Once Outside: allow for both X and Y
Twice Inside: allow both for X and for Y
Choice (A) & (B) have the mistake pattern, once-outside-and-once-inside. Both of those are incorrect.
Choice (D) has an incorrect comparison: “allows … the wheels to turn more slowly than that of the engine.” The antecedent of the pronoun “that” is the action of the verb “to turn more slowly.” A pronoun can have the action of a verb as its antecedent. This choice is incorrect.
The only possible choice is (C).