If you don't know Bragg's condition or electron wave, at least you should eliminate 2 or 3 choices. First, (E) is wrong since it is faster than the speed of light. Next, electron in a beam for this kind of experiment should be very fast. (A) is hopelessly small, while (B) is just the speed of car, roughly speaking. Hence, you have only (C) and (D). You are expert familiar with the topic, you can even say that the answer is (D) by order of magnitude.
Suppose you don't know Bragg's condition, you can just use the relation between momentum and wavelength of matter wave. In order to probe the distance of

angstroms, you also need roughly wavelength of about 3 angstroms. By De Broglie relation, we have

Hence,
The closest answer is (D).
The correct answer is therefore (D). 30 of 100 people answered correctly.
Note: The Bragg's condition is

, where

is integer,

is the spacing between reflecting planes, and

is the angle between particle incoming wave and the reflecting plane.