In a certain code language,

- P + Q means ‘P is the mother of Q’,
- P – Q means ‘P is the brother of Q’,
- P × Q means ‘P is the wife of Q’
- P ÷ Q means ‘P is the father of Q’.

Based on the above, how is U related to Z if the expression is:

$$U - V + W \div Y imes Z$$

Question

In a certain code language,

- P + Q means ‘P is the mother of Q’,
- P – Q means ‘P is the brother of Q’,
- P × Q means ‘P is the wife of Q’
- P ÷ Q means ‘P is the father of Q’.

Based on the above, how is U related to Z if the expression is:

$$U - V + W \div Y 	imes Z$$

Accepted Answer

**Solution:**

Given the expression:

$$U - V + W \div Y 	imes Z$$

Using the code meanings:

- $P + Q$: P is the mother of Q
- $P - Q$: P is the brother of Q
- $P 	imes Q$: P is the wife of Q
- $P \div Q$: P is the father of Q

Step-by-step analysis:

1. **$U - V$** means *U is the brother of V*.

2. **$V + W$** means *V is the mother of W*.

3. **$W \div Y$** means *W is the father of Y*.

4. **$Y 	imes Z$** means *Y is the wife of Z*.

Now, let's find how U is related to Z by tracing the relationships:

- From $Y 	imes Z$: Y is wife of Z.
- From $W \div Y$: W is father of Y.
- From $V + W$: V is mother of W.
- From $U - V$: U is brother of V.

Putting it all together:

- U is brother of V.
- V is mother of W.
- W is father of Y.
- Y is wife of Z.

So, starting from Z:

- Z's wife is Y.
- Y's father is W.
- W's mother is V.
- V's brother is U.

Hence, U is the **brother of the mother of the father of the wife of Z**.

In simpler terms, U is the **wife’s father’s mother’s brother**.

**Answer:** Wife’s Father’s Mother’s Brother

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