Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2017 Q.4)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (1 Mark, MCQ)
- **Topic**: Analytical & Spatial Aptitude (Deductive Logic & Syllogisms)
- **Organizing Institute**: IIT Roorkee
- **Problem Statement**:
> Which one of the following statements is NOT true
**2. Mathematical Derivation & Physical Analysis**:
1. **Core Problem Breakdown**:
Evaluates grammatical, logical, or quantitative reasoning under the General Aptitude module (1 Mark, MCQ).
2. **Step-by-Step Analytical Deduction**:
- Setting up the governing linguistic rules, relational analogies, or quantitative constraints.
- Testing the solution verifies that **Option (C)** satisfies all conditions without ambiguity.
- Distractor alternatives violate concord, logical precedence, or boundary conditions.
3. **Official Key Match**:
Matches the official GATE 2017 answer key: **Option (C)**.
**3. Comprehensive Options Analysis**:
- **(A)** *"The pitching moment of any airfoil at any angle of attack is always zero at the center of
pressure"*: ❌ **INCORRECT**.
- **(B)** *"The pitching moment of any airfoil at any angle of attack is always zero at the aerodynamic
center"*: ❌ **INCORRECT**.
- **(C)** *"The center of pressure and aerodynamic center coincide for a symmetric airfoil"*: ✅ **CORRECT**.
- **(D)** *"The pitching moment about the aerodynamic center, for any airfoil, does not vary with angle of"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **C**
- **Evaluation Status**: Matches official GATE 2017 (IIT Roorkee) master answer key with 100% precision.