In a certain code language,
A + B means ‘A is the daughter of B’
A – B means ‘A is the brother of B’
A x B means ‘A is the wife of B’
A ÷ B means ‘A is the father of B’
Based on the above, how is E related to K if ‘E+F÷G–HxK’?

The correct answer is Wife's sister.

To find how E is related to K from the given expression E + F ÷ G – H x K, let us break down the relations step-by-step according to the given rules:

1. E + F means ‘E is the daughter of F’ (E is female).
2. F ÷ G means ‘F is the father of G’ (F is male). Since E is also a child of F, E and G are siblings (E is the sister of G).
3. G – H means ‘G is the brother of H’ (G is male). Thus, E, G, and H are all siblings, children of F. Since E is female, E is the sister of H.
4. H x K means ‘H is the wife of K’ (H is female, K is male, and H and K are married).

Since E is the sister of H, and H is the wife of K, E is the sister of K's wife (i.e., K's Wife's sister).