First, there is no such thing as "reverse sensing". That is a misnomer which has confused the heck out of folks for many decades. The needle will deflect in the proper direction regardless of whether you're on the front or back course, and it will not reverse as you transition from front to back or back to front.
Second, this is a localizer, not a VOR radial, so there is no difference in needle deflection direction between the front and back courses because you cannot select a course to fly as you can with a VOR. Unlike a VOR signal where if you twist the OBS knob 180 degrees, the needle will reverse sides because you have reversed the selected course, the needle deflection on a localizer is unaffected by the selected course which is "hard wired" into the LOC signal, and this the same for both a CDI OBS knob and an HSI course pointer.
As a result, the needle will deflect in the same direction
relative to the course pointer head regardless of whether you are east or west of the antenna (located in this case at the west end of the runway for this RWY 27 LOC)
and regardless of where you set the HSI course pointer.
This is a very important distinction, whose understanding is necessary to make sense of HSI presentation on localizers.
Now, in this HSI ("G" in the test"):
...the course pointer is correctly pointed 270 (the forward direction of the localizer). The needle is deflected to the south, meaning the localizer is south of you, so you are north of the localizer, which means you must be 1, 7, 10, or 11. You can see you are heading west, which eliminates 1 and 10, but is consistent with both 7 and 11. Since there is no TO/FROM on a localizer, you have no way with the information given to distinguish between the two, so Answer C (7 and 11) is the best answer.
Note also that several of the pictured HSI's (B, C, D, and E) have the course pointer turned backwards (i.e., pointing to 090). This just makes things worse, since now you have effectively turned your CDI upside down, making it
appear that it's sensing backwards when in reality you have just stood yourself on your head. So, in this case (G), if you twisted the CDI course pointer to 090 (i.e., turned the CDI portion of the HSI upside down), there is no change in the needle deflection
relative to the head of the pointer, making it falsely appear to be reversed, when in reality you've just turned it upside down.
If you always keep the HSI course pointer pointed in the forward direction for a localizer course (i.e., 270 on this one), you will never be confused as to which direction the localizer course is in relation to you. IOW, the questions on those four HSI's which are rotated the wrong way (I.e., course pointer on 090) have you doing something no pilot his his/her right mind would ever do, just to make it harder for you to figure out the correct answer. Really bad questions, I think.