GATE ME 2024 Set 1 — Question 9
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumPaper Folding, Cutting & PatternsSpatial AptitudeGeneral Aptitude
General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns
Last updated
Question
A planar rectangular paper has two V-shaped pieces attached as shown below. 
This piece of paper is folded to make the following closed three-dimensional object.
The number of folds required to form the above object is
Correct answer
(A) 9
Solution
The closed object is a prism whose cross-section is a V shape with flat ends.Count the side faces. The V-shaped cross-section has 8 edges: the two top ends of the arms, the two outer slanted edges, the flat outer bottom, the two inner slanted edges and the small flat inner bottom. So the prism has 8 rectangular side faces, which are all formed by the single long rectangular strip.Folds in the strip. Wrapping one strip around 8 side faces needs a fold between every pair of adjacent faces along the strip: folds (the last edge is closed by joining the two ends of the strip, not by a fold).Folds for the end faces. The two V-shaped pieces are the front and back faces of the prism. Each is folded once along the edge where it is attached to the strip: 2 folds. The V pieces themselves are flat and are not bent.Total number of folds .
- (B) 7 counts only the strip folds.
- (D) 8 adds only one end face, or counts a fold at the closing edge of the strip instead of the end-face folds.
- (C) 11 over-counts, e.g. by bending the flat V pieces.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Spatial Aptitude
2026 Set 1 Q1‘The team ____ more than 300 runs in 20 overs _________ rains. However, some players needed to…2026 Set 1 Q2If a positive real satisfies the following equation then…2026 Set 1 Q3The next figure (indicated by ‘?’) in the sequence is [figure]2026 Set 1 Q4‘All the mangoes in the basket are good.’ If the above statement is false, then which one of…2026 Set 1 Q5Consider the following statements about four numbers: (S1) The average of the four numbers is 25…