Section 3: Genetics, Cellular and Molecular Biology
DNA replication, transcription, translation
Subtopic: Fundamentals of DNA replication, transcription, translation
Question Statement:
The graph of the function f(x) = x / (k1*x^2 + k2*x + 1) for 0 < x < ∞ exhibits:
Options:
(A) A single local maximum and asymptotically approaches 0 as x -> ∞
(B) Monotonically increasing behavior without bound
(C) A single local minimum and diverges to infinity
(D) Constant non-zero slope everywhere
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.29)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **MCQ** (1 Mark)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"The 5’ ends of the mature forms of the prokaryotic mRNAs and tRNAs are..."*
- **Option (D) [CORRECT]**: *"a monophosphate group in mRNAs and a triphosphate group in tRNAs"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"a triphosphate group in mRNAs and a monophosphate group in tRNAs"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"triphosphate groups in both mRNAs and tRNAs"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"monophosphate groups in both mRNAs and tRNAs"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **D**
- **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.