GATE 2023 BM – Question 10

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A rectangular sheet of paper is 100 cm × 32 cm. It is folded five times so that the long edge is brought onto its opposite edge, producing a 100 cm × 1 cm folded sheet. When unfolded, how many creases are present?

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Correct answer: (C) 31

Explanation

Each fold bisects the current width; five folds divide the original thirty-two-centimetre width into 2⁵=32 equal strips. Adjacent strips are separated by internal creases, so the number of creases is 32−1=31. Equivalently the recurrence c(n)=2c(n−1)+1 gives thirty-one after five folds. Thus C.

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