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 was the numeral of the last person who remained in the circle?

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To find out the numeral of the last person who remained in the circle, let's break down the given scenario step by step:

1. There are 1000 people standing in a circle.
2. They start counting off in a clockwise sequence.
3. Each person with an odd numeral says "in" and remains in the circle.
4. Each person with an even numeral says "out" and leaves the circle.
5. This process continues until only one person remains in the circle.

Let's analyze the given patterns:

- The Jennifer Lopez look alike starts the count and says "one in."
- The person to her left (the 7'6" basketball player) says "two out."
- The rap singer, who is next in sequence, says "three in."

From this pattern, we can observe that the counting continues in the clockwise direction, with every third person saying "in" and the person before them saying "out."

Now, let's determine the pattern for when the Jennifer Lopez look alike speaks again:

- The person before her (with the numeral 1000) said "one thousand out."
- Since the Jennifer Lopez look alike is next in the sequence, she says "one in."

So, for each cycle of counting, every third person (odd numeral) says "in," and the person before that (even numeral) says "out." The pattern continues until only one person is left in the circle.

To find the numeral of the last person who remains in the circle, we need to determine the total number of cycles it takes until only one person is left.

There are 500 odd-numerals (since there are 1000 people in total, and half of them have odd numerals). Therefore, there will be 500 cycles of counting.

In each cycle, the number of remaining people reduces by half. So, after the first cycle, there will be 500 people left, after the second cycle, 250 people left, and so on.

Continuing this pattern, we can determine that after 10 cycles, there will be only 1 person left in the circle.

Therefore, the numeral of the last person remaining in the circle is the numeral assigned to the person who would speak after 10 cycles.

Since the Jennifer Lopez look alike starts the count with numeral 1 and each person is counted in a clockwise sequence, we can determine the numeral of the last person by adding the total number of cycles (10) to the initial numeral (1).

Thus, the numeral of the last person who remains in the circle is 1 + 10 = 11.