A driver is positioned in the right lane of this carriageway. Can they continue straight ahead?

A driver is positioned in the right lane of this carriageway. Can they continue straight ahead?
A)Yes; they can turn right or continue straight ahead.
B)Yes, because there is no vertical sign prohibiting going straight ahead.
C)No, they are obliged to turn right.Correct
Lane selection arrows are road markings, and as such road users must respect them. These arrows, depending on their drawing, oblige drivers to follow the indicated direction or directions. If the signage allows it, for example a broken line delimiting the lane, you can change lanes to take another direction; on the other hand, if it is a continuous line, you cannot.
In the situation in the image, the vehicle must turn obligatorily because the arrow indicates so, and it is not allowed to change lanes because the lane is delimited by a continuous line.