GATE AE 2011 • Q59 MCQ • 2 Marks Propulsion

Propulsion

Compressors and Turbines

Subtopic: Axial Flow Gas Turbines & Blade Cooling

Question Statement:

In how many ways 3 scholarships can be awarded to 4 applicants, when each applicant can receive at most one scholarship?

Options:

  • (A) 24
  • (B) 12
  • (C) 64
  • (D) 4

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.59)** **1. Problem Statement & Parameters**: - **Module**: Propulsion (2 Mark, MCQ) - **Topic**: Compressors and Turbines (Axial Flow Gas Turbines & Blade Cooling) - **Organizing Institute**: IIT Madras - **Problem Statement**: > **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Compressors and Turbines** (Axial Flow Gas Turbines & Blade Cooling) under *Propulsion*. 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 **C**. **3. Comprehensive Options Analysis**: - **(A)** *"4"*: ❌ **INCORRECT**. - **(B)** *"12"*: ❌ **INCORRECT**. - **(C)** *"64"*: ✅ **CORRECT**. - **(D)** *"81 Choose the most appropriate word from the op tions given below to complete the following sentence. The _________ of eviden ce was on the side of the plaintiff since all but one witness testified that his story was correct."*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **C** - **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
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