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 : Smallest 7-digit number using only digit one is 1000000.
Reason : Smallest number is obtained by putting the smallest digit at the left most place except 0.

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 question, we need to evaluate the Assertion and the Reason provided.

### Step 1: Analyze the Assertion
The assertion states that the smallest 7-digit number using only the digit 1 is 1000000.

- A 7-digit number consists of 7 digits. If we use only the digit 1, the number would be 1111111 (which is seven 1s).
- Therefore, the assertion is **incorrect** because 1000000 is not composed solely of the digit 1.

### Step 2: Analyze the Reason
The reason states that the smallest number is obtained by putting the smallest digit at the leftmost place except 0.

- This statement is true because in a multi-digit number, the leftmost digit cannot be 0 (as it would not be a valid multi-digit number).
- The smallest digit available (in this case, 1) should be placed in the leftmost position to ensure the number is as small as possible.

### Conclusion
- The assertion is **false** because the smallest 7-digit number using only the digit 1 is 1111111, not 1000000.
- The reason is **true** as it correctly describes how to form the smallest number.

Thus, the correct answer is that the Assertion is false and the Reason is true.

### Final Answer
- Assertion: False
- Reason: True

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