7-Sum
Roll
Jump-1
Cubes
Staff Selection Commission Mastery Pro
कर्मचारी चयन आयोग मास्टरी प्रो
Determine hidden opposite faces and dissect 3D spatial painted cubes with 100% geometric precision.
छिपे हुए विपरीत फलकों का निर्धारण करें और 100% ज्यामितीय सटीकता के साथ 3D रंगे हुए घनों का विश्लेषण करें।
✨ A Message from The Scholars aKademy: Hello Ankush! Dice & Cubes questions test your mental spatial rotation. By locking down the Single Common Anchor roll and the massive N-2 painted dissection formulas, you will solve CBT visual questions in under 5 seconds.
✨ द स्कॉलर्स अकादमी का संदेश: नमस्ते अंकुश! पासा और घन के प्रश्न आपके मानसिक स्थानिक घूर्णन का परीक्षण करते हैं। सिंगल कॉमन एंकर रोल और N-2 रंगे हुए सूत्रों को सीखकर, आप 5 सेकंड से भी कम समय में प्रश्न हल कर लेंगे।
General Intelligence & Reasoning
सामान्य बुद्धिमत्ता और तर्कशक्ति
Chapter 17: Dice & Cubes (Spatial Visualizations)
अध्याय 17: पासा और घन (स्थानिक दृश्य)
Dear Aspirants, Dice & Cubes questions test your mental spatial rotation and 3D visualization. In these questions, you are required to determine hidden opposite faces of a dice or mathematically calculate dissected painted unit cubes. This chapter guarantees 2-4 solid marks across SSC CGL Tier-II, CHSL, MTS, and CPO exams.
प्रिय उम्मीदवारों, पासा और घन (Dice & Cubes) के प्रश्न आपके मानसिक स्थानिक घूर्णन और 3D क्षमता का परीक्षण करते हैं। इन प्रश्नों में, आपको पासे के छिपे हुए विपरीत फलकों का निर्धारण करना होता है या रंगे हुए घनों की गणितीय गणना करनी होती है। यह अध्याय SSC CGL Tier-II, CHSL, MTS और CPO परीक्षाओं में 2-4 पक्के अंकों की गारंटी देता है।
3. Exhaustive Reference Ledger: 15 Spatial Master Variations
Use this lookup ledger to instantly decode standard vs. ordinary dice rules and the unyielding painted cube mathematical constants:
| # | Archetype Category | Spatial Description | Core Algorithmic Rule | Key Constant / Formula |
|---|---|---|---|---|
| 1 | Closed Dice | Standard Universal Dice (Universal standard) | Sum of any two opposite faces is strictly equal to 7 | 1↔6, 2↔5, 3↔4 |
| 2 | Closed Dice | Ordinary / Non-Standard Dice | If sum of any two *visible adjacent* faces = 7, it is non-standard | Opposite = Any remaining digit |
| 3 | Closed Dice | Single Common Anchor (2 Views) | Find the common digit and trace the remaining faces strictly Clockwise | Pos 1 ↔ Pos 1, Pos 2 ↔ Pos 2 |
| 4 | Closed Dice | Two Common Faces (2 Views) | Cancel out both common visible faces on the two view states | Remaining two faces are definitively opposite |
| 5 | Closed Dice | Three/Four View State Matrix | Identify the most frequent visible digit to find the fully hidden opposite | Frequency Elimination Theorem |
| 6 | Open Net Unfolding | Standard 4-in-a-Row Net | Straight vertical or horizontal strips yield Jump-1 alternation | Face 1 ↔ 3, Face 2 ↔ 4 |
| 7 | Open Net Unfolding | The "T-Shape" / Plus Net | Central stem follows Jump-1; the two extreme hanging wings are opposite | Left Wing ↔ Right Wing |
| 8 | Open Net Unfolding | The "Z-Staircase" Net | Extreme outer steps of an unbroken 3-block staircase are definitive opposites | Top Step ↔ Bottom Step |
| 9 | Open Net Unfolding | Vertex Disqualification Net | Faces sharing an exact corner vertex point can *never* fold opposite | Corner Touch = Disqualified |
| 10 | Open Net Unfolding | Four Composite Flaps | 4 outer small triangular flaps fold up to form a single top face | Top Face = Split 4-Quadrant Symbol |
| 11 | Painted Cubes | 3 Sides Painted (Vertex Cubes) | Located strictly on the extreme sharp corner points of the parent cube | Absolute Constant = exactly 8 |
| 12 | Painted Cubes | 2 Sides Painted (Edge Cubes) | Located strictly along the linear 12 outer bone edges (excluding corners) | Formula = 12 × (N − 2) |
| 13 | Painted Cubes | 1 Side Painted (Center Cubes) | Located strictly in the flat internal face grids of the 6 outer walls | Formula = 6 × (N − 2)² |
| 14 | Painted Cubes | 0 Sides Painted (Inner Core) | Completely submerged unpainted inner core blocks hidden from outside view | Formula = (N − 2)³ |
| 15 | Painted Cubes | Asymmetric Cuboid Dissection | Parent block measuring L × B × H sliced into unit cubes | Total Pieces = L × B × H |
1. Closed Dice Rules
1. बंद पासा नियम
2. Open Net Unfolding
2. खुला पासा (Nets)
3. Painted Spatial Cubes
3. रंगे हुए घन सूत्र
Archetype 1: Closed Dice (Standard, Ordinary & Common Roll)प्रकार 1: बंद पासा (मानक, साधारण एवं घूर्णन नियम)
Archetype 2: Open Net Unfolding (Jump-1 & Z-Staircase)प्रकार 2: खुला पासा (Jump-1 एवं Z-आकृति नियम)
Archetype 3: Painted Cubes & Spatial Core Dissectionप्रकार 3: रंगे हुए घन एवं आंतरिक कोर विश्लेषण
4. Top 11 Speed-Execution Infographic Showcase (प्रो ट्रिक्स)
Embed these 11 analytical vector rules directly into your mental sandbox to solve live CBT questions in 5 seconds:
🎥 Masterclass Video Lectures
Watch expert lectures to master spatial rotation and N-2 cube slicing without raw memorization.
🎥 मास्टरक्लास वीडियो लेक्चर
बिना रटे स्थानिक घूर्णन और N-2 घन कटाई में महारत हासिल करने के लिए विशेषज्ञ लेक्चर देखें。
🏆 TCS PYQ Tests (2018-2024)
🏆 TCS पिछले वर्ष के प्रश्न (2018-2024)
Top 25 Real Dice & Cubes questions asked in SSC CGL Tier-II, CHSL and CPO.
SSC CGL Tier-II, CHSL और CPO में पूछे गए शीर्ष 25 वास्तविक प्रश्न。
L1: Closed Dice Visualizationsस्तर 1: बंद पासा विश्लेषण
L2: Open Net Unfolding Netsस्तर 2: खुला पासा (Nets)
L3: 3D Painted Cubes Dissectionस्तर 3: 3D रंगे हुए घन
🔮 Top 50 Expected Spatial Questions
🔮 टॉप 50 संभावित स्थानिक प्रश्न
Highly probable Dice & Cubes spatial permutations for upcoming CBT exams.
आगामी परीक्षाओं के लिए अत्यधिक संभावित पासा और घन प्रश्न。