The correct answer is B: 12.
Looking at the figure, we can analyze the product information provided by the arrows to deduce the placement of the numbers:
Top Line: We know 48 is the product of 3 numbers. Since 8 is the highest number, it must be on the top line. 6 x 8 = 48, so the remaining number on the top line must be 6.
Left Line: We know 105 is the product of 3 numbers. Since 7 is the highest remaining number and 5 is already used on the top line, 7 must be on the left line. 5 x 7 = 35, so the remaining number on the left line must be 3.
Right Line: We know 28 is the product of 3 numbers. Since 5 is already used on the top line, 4 must be on the right line. 7 x 4 = 28, so the remaining number on the right line must be 7.
Bottom Line: Now, we only need to determine the placement of the remaining numbers (1, 2, and 9) on the bottom line.
We know 11 is the product of the numbers on the bottom line. Since 1 is the smallest remaining number, it must be on the bottom line.
9 x 1 = 9, so the remaining two numbers on the bottom line must multiply to 2.
The only possible combination is 2 x 2 = 4, so 2 must be placed next to 1.
Therefore, the sum of the numbers in the three circles at the bottom of the figure is:
1 + 2 + 9 = 12
So the answer is B) 12.