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f. Johanna folds a piece of paper with the numbers to in half twice (see diagrams).\begin{tabular}{|c|c|c|c|c|c|}\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline\end{tabular}Then she stabs a hole through all four layers at the same time (see diagram on the right). Which four numbers does she pierce in doing so?(A) (B) (C) (D) (E)
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Q. f. Johanna folds a piece of paper with the numbers to in half twice (see diagrams).\begin{tabular}{|c|c|c|c|c|c|}\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline & & & & & \\\hline\end{tabular}Then she stabs a hole through all four layers at the same time (see diagram on the right). Which four numbers does she pierce in doing so?(A) (B) (C) (D) (E)
- Visualize Folding Process: Visualize the folding process.When Johanna folds the paper in half once, the numbers on the right half will be on top of the numbers on the left half . Folding it in half again will place numbers on top of numbers , and numbers on top of numbers .
- Determine Hole Position: Determine the position of the hole.The hole is stabbed through all four layers, so we need to identify the corresponding numbers on each layer that align with the hole. Since the hole is shown on the right diagram, we can assume it is through the center of the folded paper.
- Identify First Layer Numbers: Identify the numbers on the first layer.The first layer (the top layer after the second fold) will have the numbers . The hole appears to be closer to the left edge, which corresponds to the lower numbers in this range.
- Identify Second Layer Numbers: Identify the numbers on the second layer.The second layer (the one directly beneath the first layer after the second fold) will have the numbers . The hole's position will correspond to the same relative position as on the first layer.
- Identify Third Layer Numbers: Identify the numbers on the third layer.The third layer (the one directly beneath the second layer after the second fold) will have the numbers . The hole's position will correspond to the same relative position as on the first and second layers.
- Identify Fourth Layer Numbers: Identify the numbers on the fourth layer.The fourth layer (the bottom layer after the second fold) will have the numbers . The hole's position will correspond to the same relative position as on the first, second, and third layers.
- Match Hole Position to Numbers: Match the hole's position to the numbers.Since the hole is closer to the left edge, we can eliminate options (B), (D), and (E) because they include numbers that are too far to the right . Between options (A) and (C), we can see that the hole is not at the very edge, so it is unlikely to be through numbers or . Therefore, option (C) is the most likely correct answer, with the hole piercing through numbers and .
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