Read the following information and answer the question given below it:
I. P + Q means P is mother of Q.
II. `PdivQ` means P is father of Q.
III. P - Q means P is sister of Q.
=>If A + B ÷ C – D, then A is D's

Options

A. Father
B. Grandmother
C. Sister
D. Grandfather

Answer

To solve the problem step by step, let's break down the relationships based on the given symbols:

1. **Understanding the Symbols**:
- **P + Q** means P is the mother of Q.
- **P ÷ Q** means P is the father of Q.
- **P - Q** means P is the sister of Q.

2. **Analyzing the Expression**:
We need to analyze the expression **A + B ÷ C - D**.

3. **Step 1: Identify A + B**:
- According to the first rule, **A + B** means A is the mother of B.
- We denote this as:
- A (female)
- B (child of A)

4. **Step 2: Identify B ÷ C**:
- According to the second rule, **B ÷ C** means B is the father of C.
- We denote this as:
- B (male)
- C (child of B)

5. **Step 3: Identify C - D**:
- According to the third rule, **C - D** means C is the sister of D.
- We denote this as:
- C (female)
- D (sibling of C)

6. **Step 4: Establish Relationships**:
- From Step 1, A is the mother of B.
- From Step 2, B is the father of C.
- From Step 3, C is the sister of D.
- Since B is the father of both C and D, we can conclude that A is the grandmother of both C and D.

7. **Conclusion**:
- Therefore, A is D's grandmother.

### Final Answer:
A is D's grandmother.

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