Refer to figures.
Although this question seems very confusing at first, we only need to identify that it is asking us to use the convergency formula in order to solve it. The formula for chart convergency is:

• convergency = change in longitude x sin(parallel of origin)

We want to find the parallel of origin, and can re-arrange the formula like so:

• Parallel of origin = sin^-1(convergency / change in longitude)

We now need to calculate the convergency and change in longitude:

• Using the longitude of points A and B, we can add them to find the change:
  001°17' + 005°38' = 6°55'

The convergency is the change in the True Track (TT) between points A and B. We need to account for the variation at each point to convert the Magnetic Tracks to TT. We do this using a memory aid such as

Variation East, Magnetic Least
Variation West, Magnetic Best

At B, we are given the initial track to A. We need to find the reciprocal of this to find the final track from A to B, at B: 291° - 180° = 111°

• A: 109°(M), variation 7W ⇒ 102°(T)
• B: 111°(M), variation 3W ⇒ 108°(T)
• Convergency = 108° - 102° = 6°

Finally, inserting these into our equation we find:

Parallel of origin = sin^-1(6° / 6°55') = 60°10'

But is this in the North or South hemisphere?
We find out by noting that as we fly to the East, our true track increases from 102° to 108°. As per the DIDI figure, or by visualising this, this puts in the Northern Hemisphere - the parallel of origin is therefore 60°10'N (Closest answer: 60°N)

(In any case, all answers given are in the Northern hemisphere!)