Let Nm and No be respectively the non-dimensional locations of the stick-fixed maneuver point and stick-fixed neutral point of a low speed conventional aircraft. These distances are measured with respect to the nose of the fuselage. The numerical value of Na-No
Options:
(A) will always be negative
(B) will always be positive
(C) will always be zero
(D) can have any value depending on the location of the center of gravity of the aircraft
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2017 Q.9)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Verbal Aptitude (Verbal Deduction & Reasoning)
- **Organizing Institute**: IIT Roorkee
- **Problem Statement**:
> Let Nm and No be respectively the non-dimensional locations of the stick-fixed maneuver point and stick-fixed neutral point of a low speed conventional aircraft. These distances are measured with respect to the nose of the fuselage. The numerical value of Na-No
**2. Mathematical Derivation & Physical Analysis**:
1. **Core Problem Breakdown**:
Evaluates grammatical, logical, or quantitative reasoning under the General Aptitude module (2 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 (B)** 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 (B)**.
**3. Comprehensive Options Analysis**:
- **(A)** *"will always be negative"*: ❌ **INCORRECT**.
- **(B)** *"will always be positive"*: ✅ **CORRECT**.
- **(C)** *"will always be zero"*: ❌ **INCORRECT**.
- **(D)** *"can have any value depending on the location of the center of gravity of the aircraft"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2017 (IIT Roorkee) master answer key with 100% precision.
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