GATE CE 2021 Set 1 — Question 7
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General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns
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Question
Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each.Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.Folding operation 1 is carried out on Sheet M three times.Folding operation 2 is carried out on Sheet N three times.The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is ________.
Correct answer
(A) 13: 7
Solution
For Sheet M (initial 6 cm x 4 cm):
1.Fold 1 (Op 1): Join short edges (4 cm). Fold 6 cm side. New shape: 3 cm x 4 cm.
2.Fold 2 (Op 1): Join short edges (3 cm). Fold 4 cm side. New shape: 3 cm x 2 cm.
3.Fold 3 (Op 1): Join short edges (2 cm). Fold 3 cm side. New shape: 1.5 cm x 2 cm.
Perimeter of final Sheet M = cm.For Sheet N (initial 6 cm x 4 cm):1.Fold 1 (Op 2): Join long edges (6 cm). Fold 4 cm side. New shape: 6 cm x 2 cm.
2.Fold 2 (Op 2): Join long edges (6 cm). Fold 2 cm side. New shape: 6 cm x 1 cm.
3.Fold 3 (Op 2): Join long edges (6 cm). Fold 1 cm side. New shape: 6 cm x 0.5 cm.
Perimeter of final Sheet N = cm.The ratio of perimeters of Sheet N to Sheet M is .Continue learning with Success Tracker
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