Question Statement:
Operators O, V and → are defined by: a D b = -
a-b
a+b
a+b: alb=
a-bi arb=ab.
Find the value of (66 0 6) - (66 0 6).
Options:
-
(A) -2
-
(B) -1
-
(C) 1
-
(D) 2
%
2. * B
3.0 C
4. *D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.4)**
**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: *"Operators O, V and → are defined by: a D b = -
a-b
a+b
a+b: alb=
a-bi arb=ab.
Find the value of (66 0 6) - (66 0 6)...."*
- **Option (C) [CORRECT]**: *"1"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"-2"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"-1"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"2
Options :
1.%
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**: 1 Mark (Negative marking: -0.33 marks).
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