**Quote:**

Importantly for this question, the range is calculated as the greatest value minus the least value in a set.

So in order for a new term to increase the range, it would have to be either the "new" least value or the new greatest value.

Because the question doesn't specify which prime numbers are in the set, we can't tell what the greatest value of the set will be. It could be the usual suspects (2, 3, 5, 7, 11, 13, 17, 19...) or it could be a bigger number like 199. So 100 doesn't necessarily increase the range.

But we do know that the lowest the least value could possibly be is 2. 2 is the lowest prime number, so a new term less than 2 (like 0 or 1) must therefore become the new lowest value. This then means that the range must increase.

So both options I and II are correct, making D the right answer.

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