Explanation:

Let’s break down the question and both statements one by one:

- Question: Is 12 one of 13 consecutive even numbers?

- Statement I: Difference between first and least numbers is 24.

- For 13 consecutive even numbers, the difference between the first and last is always 24 (since each is spaced by 2, (13-1)\*2=24).

- So this tells us nothing about which even numbers—they could start anywhere.

- Not enough info to answer the question.

- Statement II: Average of the set is zero.

- In 13 consecutive even numbers, the average would be the middle number.

- If average is zero, the middle number must be 0.

- That means your numbers are: -12, -10, ..., 0, ..., 10, 12.

- So yes, 12 is there.

- This alone is enough.

Now, about the options:

- Option 1: The question can be answered by any one of the statements alone, but not the other.

- Option 2: The question can be answered by using either statement alone.

- Option 3: The question needs both statements together.

- Option 4: Can't answer, even with both.

With that, the correct answer is Option 1, because only Statement II works by itself.

> Correct Answer: Option:1, 1

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