For every question, four probable answers bearing (A), (B), (C) and (D) given. Only one out of these is correct. You have to choose the correct answer.
What value must be given to • so that the number 6912• is divisible by 25?

Options

A. 3
B. 5
C. 4
D. 7

Answer

To determine the value that must be given to the dot (•) in the number 6912• for it to be divisible by 25, we need to follow these steps:

### Step-by-Step Solution:

1. **Understanding Divisibility by 25**:
A number is divisible by 25 if its last two digits form a number that is divisible by 25. The possible last two digits that are divisible by 25 are 00, 25, 50, and 75.

2. **Identifying the Last Digit**:
In our case, the last two digits of the number 6912• are 2•. We need to find a value for • that, when placed after 2, results in one of the valid endings (00, 25, 50, or 75).

3. **Checking Possible Values**:
- If we want the last two digits to be 00, then • must be 0 (but this is not valid since 2 cannot form 00).
- If we want the last two digits to be 25, then • must be 5 (since 25 ends with 5).
- If we want the last two digits to be 50, then • must be 0 (but again, this is not valid since 2 cannot form 50).
- If we want the last two digits to be 75, then • must be 5 (since 75 ends with 5).

4. **Conclusion**:
The only valid digit that can be placed in the position of • to make the number 6912• divisible by 25 is 5. Therefore, the value of • must be 5.

### Final Answer:
The value that must be given to • is **5**.

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