5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days;
§ unskilled workers. how long will it take to build the wall?
10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and
Options:
(A) 20 days
(B) 18 days
(C) 16 days
(D) 15 days
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2010 Q.63)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: General Aptitude
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days;
§ unskilled workers. how long will it take to build the wall?
10 unskilled workers can build a wall in 30 days. If a team..."*
- **Option (D) [CORRECT]**: *"15 days"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"20 days"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"18 days"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"16 days"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **D**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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