Which one of the following is favorable for an airplane operation?
Options:
(A) Tail wind in cruise and head wind in landing
(B) Tail wind both in cruise and landing
(C) Head wind both in cruise and landing
(D) Head wind in cruise and tail wind in landing
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2013 Q.8)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Quantitative Aptitude (Permutations & Combinations)
- **Organizing Institute**: IIT Bombay
- **Problem Statement**:
> Which one of the following is favorable for an airplane operation?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Quantitative Aptitude** (Permutations & Combinations) under *General Aptitude*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"Tail wind in cruise and head wind in landing"*: ✅ **CORRECT**.
- **(B)** *"Tail wind both in cruise and landing"*: ❌ **INCORRECT**.
- **(C)** *"Head wind both in cruise and landing"*: ❌ **INCORRECT**.
- **(D)** *"Head wind in cruise and tail wind in landing"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2013 (IIT Bombay) master answer key with 100% precision.