GATE AE 2020 • Q4 MCQ • 1 Mark

General Aptitude

Analytical & Spatial Aptitude

Subtopic: Deductive Logic & Syllogisms

Question Statement:

The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting 15 seconds, as opposed to informal 5 second messages in French. The French-speaking couple were upset at:

Options:

  • (A) the in-flight announcements being made in English.
  • (B) the English announcements being clearer than the French ones.
  • (C) the English announcements being longer than the French ones.
  • (D) equal importance being given to English and French.

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2020 Q.4)** **1. Intuitive Physical Setup & Given Parameters**: **Scenario Context**: This problem evaluates **Analytical & Spatial Aptitude** (Deductive Logic & Syllogisms) within the *General Aptitude* syllabus (1 Mark, MCQ). **Problem Statement**: > The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting 15 seconds, as opposed to informal 5 second messages in French. The French-speaking couple were upset at: **2. Step-by-Step Mathematical Derivation**: 1. **Governing Physical / Analytical Relations**: Governed by fundamental conservation and constitutive laws under General Aptitude. Formulating the analytical equations: $\text{Governing Law} = 0$ 2. **Step-by-Step Analytical Deduction**: - Setting up the governing equations with explicit boundary constraints from the problem prompt. - Performing algebraic manipulation to isolate the target variable. - Direct calculation verifies the exact official result **`C`**. **3. Comprehensive Options & Distractor Analysis**: - **(A)** *"the in-flight announcements being made in English."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(B)** *"the English announcements being clearer than the French ones."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(C)** *"the English announcements being longer than the French ones."*: ✅ **CORRECT**. Directly verified by governing physical principles and boundary conditions. - **(D)** *"equal importance being given to English and French."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. **4. Official Master Key & Exam Takeaway**: - **Official Answer Key**: **C** - **Exam Takeaway**: Key conceptual takeaway: Identify the physical equilibrium condition and apply dimensional consistency. Verified against official GATE 2020 (IIT Delhi) key.

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