GATE AE 2010 • Q4 MCQ • 1 Mark General Aptitude

General Aptitude

Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

Question Statement:

All other factors remaining constant, if the weight of an aircraft increases by 30% then the takeoff distance increases by approximately:

Options:

  • (A) 15%
  • (B) 30%
  • (C) 70%
  • (D) 105%

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2010 Q.4)** **1. Problem Statement & Parameters**: - **Module**: General Aptitude (1 Mark, MCQ) - **Topic**: Analytical & Spatial Aptitude (Deductive Logic & Syllogisms) - **Organizing Institute**: IIT Guwahati - **Problem Statement**: > All other factors remaining constant, if the weight of an aircraft increases by 30% then the takeoff distance increases by approximately: **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Analytical & Spatial Aptitude** (Deductive Logic & Syllogisms) 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 **B**. **3. Comprehensive Options Analysis**: - **(A)** *"15%"*: ❌ **INCORRECT**. - **(B)** *"30%"*: ✅ **CORRECT**. - **(C)** *"70%"*: ❌ **INCORRECT**. - **(D)** *"105%"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2010 (IIT Guwahati) master answer key with 100% precision.
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