GATE CS 2026 Set 2 — Question 2

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.

MCQ+1 / -0.33EasyPaper Folding, Cutting & PatternsSpatial AptitudeGeneral Aptitude

General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns

Last updated 5 September 2026

Question

A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?

Correct answer (C) (iii) Solution The problem asks to identify the missing piece (the white region) of the square PQRS shown in Panel I. 1. Analyze the Black Shape in Panel I: The black part shown occupies the left vertical strip of the square and has a horizontal extension in the middle connecting to the left strip. This forms a shape resembling a 'T' rotated 90 degrees clockwise (or a block with a central protrusion). 2. Analyze the Missing (White) Part: The missing part is the complement of the black shape within the square. Based on the black shape: The top-right corner and bottom-right corner are white. The vertical strip along the right edge is white. The horizontal strips along the top and bottom edges (above and below the central black protrusion) are white. These white areas are connected, forming a 'C' shape (or a 'U' shape rotated 90 degrees) facing left. Specifically, it has a vertical spine on the right and two horizontal arms extending left at the top and bottom. 3. Evaluate the Options in Panel II: (i) Has a vertical spine on the left with top and middle arms extending right (resembles an 'F'). This does not match the 'C' shape. (ii) Has a vertical spine on the right with top and middle arms extending left (resembles a mirrored 'F'). This does not match the 'C' shape. (iii) Has a vertical spine on the left with top and bottom arms extending right. This is a 'C' shape. Although it is rotated 180 degrees relative to the hole in Panel I, it is the only option with the correct topological shape (a spine with top and bottom arms). (iv) Has a vertical spine on the right with top and middle arms extending left (resembles a mirrored 'F'). This does not match the 'C' shape. Since option (iii) is the only shape that matches the geometry of the missing piece (a 'C' shape), it is the correct answer. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

Correct answer (C) (iii) Solution The problem asks to identify the missing piece (the white region) of the square PQRS shown in Panel I. 1. Analyze the Black Shape in Panel I: The black part shown occupies the left vertical strip of the square and has a horizontal extension in the middle connecting to the left strip. This forms a shape resembling a 'T' rotated 90 degrees clockwise (or a block with a central protrusion). 2. Analyze the Missing (White) Part: The missing part is the complement of the black shape within the square. Based on the black shape: The top-right corner and bottom-right corner are white. The vertical strip along the right edge is white. The horizontal strips along the top and bottom edges (above and below the central black protrusion) are white. These white areas are connected, forming a 'C' shape (or a 'U' shape rotated 90 degrees) facing left. Specifically, it has a vertical spine on the right and two horizontal arms extending left at the top and bottom. 3. Evaluate the Options in Panel II: (i) Has a vertical spine on the left with top and middle arms extending right (resembles an 'F'). This does not match the 'C' shape. (ii) Has a vertical spine on the right with top and middle arms extending left (resembles a mirrored 'F'). This does not match the 'C' shape. (iii) Has a vertical spine on the left with top and bottom arms extending right. This is a 'C' shape. Although it is rotated 180 degrees relative to the hole in Panel I, it is the only option with the correct topological shape (a spine with top and bottom arms). (iv) Has a vertical spine on the right with top and middle arms extending left (resembles a mirrored 'F'). This does not match the 'C' shape. Since option (iii) is the only shape that matches the geometry of the missing piece (a 'C' shape), it is the correct answer.

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 CS 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.

Start with a free account View plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

GATE CS 2026 Set 2 — Question 2

Question

Correct answer

Solution

A step still unclear? Work through it with support

More questions on Spatial Aptitude