In a certain code language, $A + B$ means ‘$A$ is the wife of $B$’. $A - B$ means ‘$A$ is the son of $B$’. $A imes B$ means ‘$A$ is the husband of $B$’. $A \div B$ means ‘$A$ is the father of $B$’. Based on the above, how is $P$ related to $T$ if ‘$P - Q + R \div S imes T$’?

Question

In a certain code language, $A + B$ means ‘$A$ is the wife of $B$’. $A - B$ means ‘$A$ is the son of $B$’. $A 	imes B$ means ‘$A$ is the husband of $B$’. $A \div B$ means ‘$A$ is the father of $B$’. Based on the above, how is $P$ related to $T$ if ‘$P - Q + R \div S 	imes T$’?

Accepted Answer

### Given Operations:

* `A + B` → A is the **wife** of B
* `A − B` → A is the **son** of B
* `A × B` → A is the **husband** of B
* `A ÷ B` → A is the **father** of B

### Expression:

`P − Q + R ÷ S × T`

Let’s decode it **from left to right**:

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#### Step 1: `P − Q`

**P is the son of Q**

#### Step 2: `Q + R`

**Q is the wife of R**
→ So **R is the husband of Q**
→ Since P is the son of Q and Q is the wife of R,
⇒ **R is P’s father**

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#### Step 3: `R ÷ S`

**R is the father of S**
→ So **S is the child of R**

Since R is already P’s father,
⇒ **S is P’s sibling**

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#### Step 4: `S × T`

**S is the husband of T**
→ So **T is the wife of S**

And from earlier:

* S is P’s sibling (brother)
* S is the husband of T
  ⇒ So **T is P’s sister-in-law**

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### ✅ Final Answer: **Husband’s brother** is **not correct**.

The correct relation is:
**P is the brother-in-law of T**,
So **T is P’s sister-in-law**.

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Now match with options:

#### Options in the image:

* Son's son ❌
* Father ❌
* **Husband’s brother** ✅ (from **T's perspective**)
* Father-in-law ❌

If the question asks **how is P related to T**,
and **T is the wife of P's brother**,
→ **P is the husband’s brother** of T.

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### ✅ Correct Answer: **Husband’s brother**

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