One thousand people stood in a very large circle. Each starting with the Jennifer Lopez look alike, wore a sign on his or her back with a numeral from 1 to 1000 in a clockwise sequence. They began counting off. The Jennifer Lopez look alike said one in and remained in the circle. The 7'6" basketball player to her left said two out and left circle. The rap singer next in sequence said said three in and remained in the circle. The United States senator who was next in the sequence said four out and left the circle.

So it continued with each person sporting an odd numeral and with every person wearing an even numeral leaving the circle.

It was easy to visualize who remained in the circle when the count off again reached the Jennifer Lopez look alike. Since the person before her said one thousand out and left the circle, she now said one in and stayed in the circle. Continuing this sequence the rap singer said three out and left the circle. This process would keep going on and in until only one person was left in the circle.

What is your question?

is there any easier way to answer this question?

To solve this problem, we need to understand the pattern and logic behind the counting off process. Let's break it down step by step:

1. The Jennifer Lopez look-alike starts by saying "one in" and remains in the circle. So she is the first person to stay in the circle.

2. The next person, the 7'6" basketball player to her left, says "two out" and leaves the circle. This means that every person with an even numeral on their back leaves the circle.

3. The rap singer says "three in" and remains in the circle. So every person with an odd numeral on their back stays in the circle.

4. The United States senator says "four out" and leaves the circle. This means that every person with an even numeral on their back leaves the circle.

5. The process continues with alternating "in" and "out" instructions based on the numeral on each person's back.

6. Each time the count-off reaches the Jennifer Lopez look-alike, she says "one in" and remains in the circle.

Now, we can observe the pattern after each round of count-off:

1. All persons with an even numeral on their back leave the circle.
2. All persons with an odd numeral on their back remain in the circle.

Since the count-off starts at "one in" and alternates "in" and "out" instructions, we can deduce that the persons with odd numerals will always remain in the circle.

Therefore, when the count-off reaches the Jennifer Lopez look-alike again, the only person left in the circle will be the one with the highest odd numeral on their back, which in this case is 999.

So, after all the count-offs, the last person remaining in the circle is the person with the numeral 999 on their back.