In a certain direction–sense code, South-East is renamed as North, North-East is renamed as West and so on following the same pattern. Under this redefined system of directions, what will the original direction West be called?

Introduction:
This is a classic direction–sense coding problem. The usual eight directions (North, North-East, East, South-East, South, South-West, West, North-West) are renamed according to a fixed pattern. We are told how two directions are renamed, and we must infer the rule and then find what the original direction West will be called under this code. The question checks your ability to work with circular arrangements and rotational mappings.

Given Data / Assumptions:
We are given the following coded information:
• South-East is called North.• North-East is called West.• The phrase "and so on" indicates that the same rotation rule applies to all eight directions.• We assume the standard order of directions: North, North-East, East, South-East, South, South-West, West, North-West arranged clockwise.

Concept / Approach:
The idea is to treat the eight directions as points on a circle, equally spaced at 45 degree intervals. A renaming such as "South-East becomes North" means that wherever the original South-East lies on the compass, it is now given the new label North. In other words, we are rotating labels around the compass. If we can find how many steps clockwise (or anticlockwise) this mapping represents, we can apply the same shift to West and obtain its new coded name.

Step-by-Step Solution:
Step 1: List the standard directions in order (clockwise): North (0), North-East (1), East (2), South-East (3), South (4), South-West (5), West (6), North-West (7).Step 2: We are told that South-East becomes North. In index form, 3 is renamed as 0. This is a shift of +5 steps (3 + 5 = 8, which wraps to 0 mod 8).Step 3: Check this shift with the second clue. North-East is index 1. Apply the same +5 shift: 1 + 5 = 6, which corresponds to West. That matches the statement "North-East becomes West", so the rotation rule is confirmed.Step 4: Now apply this same +5 step rotation to the original direction West. West has index 6.Step 5: Compute 6 + 5 = 11. Taking modulo 8, 11 mod 8 = 3, which is South-East in our original direction list.Step 6: Therefore, West will be renamed as South-East in this code language.

Verification / Alternative check:
We can also view the rotation as moving every label 135 degrees clockwise (since 3 to 0 is a shift of 3 steps anticlockwise or 5 steps clockwise). If North moves to West, West moves to South-East, and South-East moves to North, we see a consistent pattern around the compass. Each direction is simply relabelled by the same rotation, so West must indeed map to South-East.

Why Other Options Are Wrong:
North-East and North-West would correspond to different rotational shifts that are not supported by the two given examples. South-West would be correct only if every direction were moved a different number of steps, which would break the uniform coding pattern. South is also not reached from West by the confirmed +5 step rotation, so it cannot be the coded name for West.

Common Pitfalls:
Candidates sometimes confuse which is being rotated: the compass or the names. The safe way is to fix the compass directions and rotate only the labels, or equivalently to treat the mapping as an index shift. Another common error is to use a +3 or -5 shift without verifying it against both given clues. Always confirm your rotation with all provided examples before using it on the required direction.

Final Answer:
Under this coding pattern, the original direction West is renamed as South-East.