Question
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Official answer and solution
- Official answer
- A
- From
- Official GATE 2024 answer key
Solution
At each of the 3 folds, identify the current longer edge of the rectangular sheet and halve that dimension.
Each fold is made along the line of symmetry perpendicular to the current long edge of the sheet, which halves the longer dimension at each step:
- Initial dimensions: (long edge ).
- After 1st fold: Halving the edge gives (long edge is still ).
- After 2nd fold: Halving the edge gives (now the long edge is !).
- After 3rd fold: Halving the current long edge () gives .
Therefore, the perimeter of the final folded sheet is:
Option (A)
Halving the original 20 cm edge all three times to get 2.5 cm by 8 cm (perimeter 21 cm), overlooking that after the second fold the 8 cm edge becomes the longer edge.
The answer is the one in the official GATE answer key. The solution is this site's own explanation.
Source
- Paper
- GATE 2024 Computer Science and Information Technology - Set 1 (CS1)
- Question
- 9 of 65
- Section
- General Aptitude
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