One evening. Ram and Shyam are talking face-to-face with each other. If Shyam’s shadow was exactly to the right of Ram, in which direction was Shyam facing?

One evening.

Ram and Shyam are talking face-to-face with each other.

If Shyam’s shadow was exactly to the right of Ram.

It is evening, so the sun is in the west.

Shadows are cast opposite to the sun, meaning shadows fall toward the east in the evening.
If Shyam’s shadow is to Ram’s right, then Ram’s right-hand side points east because shadows fall eastward.
To determine Ram’s facing direction:
Facing north: Right-hand points east (correct direction for the shadow).
Facing south: Right-hand points west (incorrect direction for the shadow).
Thus, Ram must be facing north.
Shyam is standing face-to-face with Ram.
If Ram is facing north, Shyam must be facing the opposite direction, which is south.

Thus, the correct answer is (a).