A cube of side 3 unts is formed using a set of smaller cubes of side 1 unt. Find the proportion of
the number of faces of the smaller cubes visible to those which are NOT visible.
Options:
(A) 1:4
(B) 1:3
(C) 1:2
(D) 2:3
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.9)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: GA
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Quantitative & Analytical Aptitude
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"--- PAGE 4 ---
A cube of side 3 unts is formed using a set of smaller cubes of side 1 unt. Find the proportion of
the number of faces of the smaller cubes visible to those which are NOT visible...."*
- **Option (C) [CORRECT]**: *"1:2"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"1:4"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"1:3"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"2:3
Options :
1. * A
2. * B
3. 0 C
4. *D"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.