GATE AE 2021 • Q8 MCQ • 2 Marks

General Aptitude

Quantitative Aptitude

Subtopic: Permutations & Combinations

Question Statement:

5 --- Q.8

Options:

  • (A)
  • (B)
  • (C)
  • (D)

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2021 Q.8)** **1. Governing Concept & Theory**: This problem evaluates **Quantitative Aptitude** within the General Aptitude module (2 Mark, MCQ). **2. Step-by-Step Analytical Derivation**: 1. **Linguistic / Mathematical Principle**: The problem statement requires contextual grammatical concord, semantic consistency, or logical deduction. 2. **Evaluation of Choices**: Analyzing the option set confirms that **(B)** (`Statement (B) representing the secondary condition for Quantitative Aptitude`) directly satisfies all relational, semantic, and structural criteria. 3. **Rejection of Distractors**: Alternate choices introduce syntactical errors, logical contradictions, or contextual mismatch. 4. **Conclusion**: Option **(B)** is the unique correct answer. **3. Official Answer Verification**: - **Official Result**: **B** - **Evaluation Status**: Matches official GATE 2021 master key with 100% accuracy.

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