The solution for the following set of equations is,
5xx + 4yy + 10zz = 13
xx + 3yy + zz = 7
4xx - 2yy + zz = 0
Options:
(A) x=2, y=1, z=1
(C) x=1, y=0, z=2
(B) x=1, y=2, z=0
(D) x=0, y=1, z=2
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.3)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: GA
- **Question Type**: **MCQ** (1 Mark)
- **Core Topic**: Quantitative & Analytical Aptitude
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"Which of the following options is the closest in meaning to the sentence below?
“As a woman, I have no country.”..."*
- **Option (C) [CORRECT]**: *"Women’s solidarity knows no national boundaries."*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"Women have no country."* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"Women are not citizens of any country."* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"Women of all countries have equal legal rights."* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).
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