Replace * by the smallest digit so that :
7465 * is divisible by 5

Options

A. `0`
B. `1`
C. `3`
D. `7`

Answer

To solve the problem of replacing * in the number 7465* so that it is divisible by 5, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Divisibility Rule for 5**:
A number is divisible by 5 if its last digit is either 0 or 5.

2. **Identify the Position of * in the Number**:
The number we have is 7465*, where * is the last digit of the number.

3. **Determine Possible Values for *:**
Since the last digit must be either 0 or 5 for the number to be divisible by 5, we have two options for *:
- Option 1: * = 0
- Option 2: * = 5

4. **Choose the Smallest Digit**:
The question specifically asks for the smallest digit to replace *. Between 0 and 5, the smallest digit is 0.

5. **Replace * with the Smallest Digit**:
By replacing * with 0, we get the number 74650.

6. **Final Answer**:
Therefore, the number 74650 is divisible by 5, and the smallest digit to replace * is 0.

### Conclusion:
The required number is 74650.

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