GATE ECE 2023 | GA Question: 10

Question

A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions $100 \mathrm{~cm} \times 1 \mathrm{~cm}$.

The total number of creases visible when the sheet is unfolded is ___________.

• A. $32$
• B. $5$
• C. $31$
• D. $63$

Answer 1

$1$ fold divides the sheet into to parts $2$ parts with $1$ crease in between.

$2$ folds divides the sheet into $4$ parts with $3$ creases.

$5$ folds will divides the sheet into $32$ parts with $31$ creases.

Hence answer will be Option $C$ $31$