Final answer:
Using the elimination method where any student who counts a number containing 7 or a multiple of 7 leaves the circle, and simulating the counting pattern, Eve is found to be the last student remaining in the circle.
Step-by-step explanation:
The question involves a mathematical puzzle in which students are arranged in a circle and count off numbers. A student leaves the circle whenever they count a number that either contains a 7 or is a multiple of 7. The objective is to determine who will be the last student remaining in the circle.
To solve this we would simulate the process remembering that every 7th person will leave when their number comes up. Starting with Arn and understanding the cycle will continue, numbers containing 7 and multiples of 7 such as 7, 14, 17, 21, 27, 28, and so on will result in a student leaving
In such a counting game, the pattern eventually repeats as students continue to count and leave. In these kinds of problems, we observe the pattern rather than calculate each number as that would be inefficient. The student who is able to continue in this cycle without hitting the elimination number would be the last one present in the circle.
By simulating the pattern, we find that Eve will be the last student remaining in the circle. This is deduced by the process of elimination starting with the first student leaving on count 7 (Arn), the second on 14 (Bob), and so on, continuing to follow the sequence of counting while adhering to the given rules.