The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

The correct option is the second option (Option 2).

Let us analyze the step-by-step process of folding and unfolding the paper as shown in the figures:
1. First Fold: As depicted in the first panel of the folding sequence, a square sheet of paper is folded diagonally along the diagonal running from the bottom-left corner to the top-right corner. The arrow indicates that the top-left half is folded down onto the bottom-right half, resulting in a double-layered right-angled triangle.
2. Second Fold: In the second panel, this triangle is folded once more. The bottom-left corner is folded up and to the right along the line connecting the center of the square to the bottom-right corner. This results in a smaller, four-layered triangle located on the right side of the square. The vertices of this final triangle lie at the top-right corner, the bottom-right corner, and the exact center of the square.

Each diagonal fold doubles the number of layers. Since the sheet is folded twice, the total number of layers in the folded section is:
$2^2=4$
Any cut made through this folded section will be mirrored or duplicated across the lines of symmetry created by the folds.

Let us examine the cuts made on the folded triangle as shown in the third panel:
- Cut at the Left Vertex (Center of the Square): A small sector of a circle is cut at the vertex pointing towards the center of the square. When the paper is unfolded, this sector is replicated in all four quadrants surrounding the central point, forming one complete circle at the center of the square.
- Cuts along the Folded Diagonal Edges: Two semi-circular cuts are made on the upper and lower diagonal fold lines. Upon unfolding, each semi-circle mirrors across its respective diagonal crease to form a complete circle. This results in 4 circles located along the diagonals, near the four corners of the square.
- Cut in the Middle of the Triangle: A complete circular hole is cut in the center region of the folded triangle. Since this cut does not touch any fold lines, it is replicated exactly once in each of the 4 layers, producing 4 circles along the horizontal and vertical axes (one in each of the top, bottom, left, and right sections).

Combining these cuts, the fully unfolded paper displays a total of:
$1+4+4=9$
circles arranged symmetrically, matching the pattern in the second option (Option 2).