If a piece of paper is folded n times, corner to corner and a random pattern is cut out from the folded paper. Find the minimum number of lines of symmetry, the cut out figure obtained upon unfolding the paper would have.
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Solution
Each fold acts as a line of symmetry imprinting the cut out on both sides across the crease. Therefore, when n such folds are made, the figure is likely to obtain atleast n lines of symmetry. The lines of symmetry may increase based on the cut-out.