If we fold a piece of paper 42 times, its thickness will actually be equal to the distance between the Earth and the Moon. How many more times do we have to fold a piece of paper so that its thickness is twice the distance between the Earth and the Moon? (2024)

The correct option is B 1
Let the thickness of the paper be T
After folding for the first time, its thickness becomes 2T.
Next, we fold for the second time, and the thickness becomes = 2×2 T= 22T
Similarly, after foldering it for three times, the thickness becomes = 2×22 T = 23T
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(We can see a pattern here)

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Pure Origami & Pureland Origami - Origami Guide

Hence, after folding 42 times,the folded paper's thickness is 242T.
Now, folding it 43 times, thickness = 243T = 2×242T
We know that the distance between the Earth and the Moon is 242T, and the thickness of the paper after folding 43 times is
243T
=2×242T
=2×(Distance between the Earth and the Moon)

To get the twice of the distance between the Earth and the Moon, we need to fold the paper 43 times, i.e., 43−42=1 extra fold, we need to make to double the distance.

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