The Problem:
In an examination, a student was asked to divide a certain number by 8. However, he made a mistake and multiplied it by 8 instead. As a result, he obtained an answer that was 2016 more than the correct answer. The task is to find the original number.

Let's solve the problem step by step:

Step 1: Let's assume the original number is 'x'.

Step 2: According to the problem, the student mistakenly multiplied the number by 8 instead of dividing it. So, the incorrect calculation can be expressed as: 8x.

Step 3: The problem states that the incorrect answer is 2016 more than the correct answer. Mathematically, we can represent this as:

8x = (correct answer) + 2016

Step 4: We need to find the correct answer, so let's divide both sides of the equation by 8:

(8x)/8 = ((correct answer) + 2016)/8

Simplifying this equation gives us:

x = (correct answer)/8 + 252

Step 5: Now, we have an equation for the original number 'x' in terms of the correct answer. We can see that the correct answer is a multiple of 8, plus 252.

Step 6: To determine the correct answer, we need to find a multiple of 8 that is 2016 less than another multiple of 8. Let's check the answer options.

- Option A: 252 is not a multiple of 8, so it cannot be the correct answer.
- Option B: 256 is a multiple of 8. Let's check if it satisfies the condition 256 - 2016 = 8k (where k is an integer):

256 - 2016 = -1760

Since -1760 is not divisible by 8, 256 is not the correct answer.

- Option C: 258 is not a multiple of 8, so it cannot be the correct answer.

- Option D: 260 is a multiple of 8. Let's check if it satisfies the condition 260 - 2016 = 8k:

260 - 2016 = -1756

Again, -1756 is not divisible by 8, so 260 is not the correct answer.

Step 7: Based on the analysis, none of the given options satisfy the condition. It is possible that there is a mistake in the problem or the correct answer is not among the provided options.

Therefore, the correct answer cannot be determined from the given options.