In coded form: A # B means A B; A * B means A = B. If X @ Y * Z # W, which is correct?

Q: In coded form: A # B means A B; A * B means A = B. If X @ Y * Z # W, which is correct?

(A) X > W. Explanation: X>Y=Z Y=Z, so X>Z. Z Z=Y. X vs W: X>Z and W>Z but can't compare X and W directly. Actually none follow directly. But X@Y means X>Y, Y*Z means Y=Z, Z#W means Z Y=Z W? No. Z>X? Z Y=Z. Y<W? Y=Z<W yes ✓. Answer should be C (Y<W).

Question

In coded form: A # B means A < B; A @ B means A > B; A * B means A = B.
If X @ Y * Z # W, which is correct?

Accepted Answer

(A) X > W. Explanation: X>Y=ZY=Z, so X>Z. ZZ=Y. X vs W: X>Z and W>Z but can't compare X and W directly. Actually none follow directly. But X@Y means X>Y, Y*Z means Y=Z, Z#W means ZY=ZW? No. Z>X? ZY=Z. Y