GATE AE 2020 • Q2 MCQ • 1 Mark General Aptitude

General Aptitude

Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

Question Statement:

He was not only accused of theft _____ of conspiracy.

Options:

  • (A) rather
  • (B) but also
  • (C) but even
  • (D) rather than

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2020 Q.2)** **1. Intuitive Physical Setup & Given Parameters**: **Scenario Context**: This problem evaluates **Verbal Aptitude** (Grammar & Vocabulary) within the *General Aptitude* syllabus (1 Mark, MCQ). **Problem Statement**: > He was not only accused of theft _____ of conspiracy. **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 **`B`**. **3. Comprehensive Options & Distractor Analysis**: - **(A)** *"rather"*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(B)** *"but also"*: ✅ **CORRECT**. Directly verified by governing physical principles and boundary conditions. - **(C)** *"but even"*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(D)** *"rather than"*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. **4. Official Master Key & Exam Takeaway**: - **Official Answer Key**: **B** - **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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