In the diagram, the numbers 1 to 10 are placed around a circle. Sandy crosses out 1 , then 4 , and then 7 . Continuing in a clockwise direction, she crosses out every third number of those remaining, until only two numbers are left. The sum of these two numbers is
(A) 13
(D) 14
(B) 10
(E) 17
(C) 8

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-122.jpg?height=312&width=304&top_left_y=1194&top_left_x=1344)
On her first pass around the circle, Sandy crosses out 1, 4,7 , and 10 . This leaves her with the numbers $2,3,5,6$, 8 , and 9 remaining.

Starting from the 10 , the third of the remaining numbers is 5 , and the third of the remaining numbers after the 5 is 9.

Thus Sandy crosses off 5, 9,6, and 3, leaving 2 and 8 as the last two remaining numbers.

![](https://cdn.mathpix.com/cropped/2024_04_20_33a8a6559d675f59baa2g-238.jpg?height=420&width=398&top_left_y=1091&top_left_x=1357)

ANSWER: (B)

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