Directions : In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : The place value and face value of digit 8 in 18,002,403 is `8 xx 1,000,000` and 8 respectively.
Reason : Place value is value of digit itself and face value depends upon the place it occupies.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the problem, we need to analyze the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states: "The place value and face value of digit 8 in 18,002,403 is `8 x 1,000,000` and 8 respectively."
- Here, we need to identify the place value and face value of the digit 8 in the number 18,002,403.

2. **Finding the Place Value**:
- The digit 8 is in the 7th position from the right (counting starts from 0).
- The place value of a digit is determined by the position it occupies in the number.
- Since 8 is in the millions place, its place value is calculated as:
\[ \text{Place Value} = 8 \times 1,000,000 = 8,000,000 \]

3. **Finding the Face Value**:
- The face value of a digit is simply the digit itself, regardless of its position in the number.
- Therefore, the face value of 8 is:
\[ \text{Face Value} = 8 \]

4. **Evaluating the Assertion**:
- The assertion claims that the place value of 8 is `8 x 1,000,000` and the face value is 8.
- From our calculations, we found that the place value is actually `8,000,000`, not `8 x 1,000,000` as stated.
- Thus, the assertion is **incorrect**.

5. **Understanding the Reason**:
- The reason states: "Place value is the value of the digit itself and face value depends upon the place it occupies."
- This statement is also incorrect because:
- Place value depends on the position of the digit, not the value of the digit itself.
- Face value is just the digit itself, irrespective of its position.

6. **Conclusion**:
- Both the assertion and the reason are incorrect.

### Final Answer:
- Assertion: Incorrect
- Reason: Incorrect