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 x H ÷ K’?

The correct option is Brother.

To determine how E is related to K, we can break down the coded expression E – F + G x H ÷ K step-by-step based on the defined relationships:
1. A + B means ‘A is the daughter of B’
2. A – B means ‘A is the brother of B��
3. A x B means ‘A is the wife of B’
4. A ÷ B means ‘A is the father of B’

Now, let us decode the given expression from left to right:
• E – F: This means E is the brother of F. This establishes that E is a male.
• F + G: This means F is the daughter of G. Since E is the brother of F, both E and F are children of G.
• G x H: This means G is the wife of H. This implies that H is the husband of G, making H the father and G the mother of both E and F.
• H ÷ K: This means H is the father of K. Since H is already the father of E and F, this means E, F, and K are all siblings who share the same father (H) and mother (G).

Conclusion:
Since E is a male and a sibling to K, E is the brother of K.