GATE AE 2020 • Q8 MCQ • 2 Marks

General Aptitude

Quantitative Aptitude

Subtopic: Permutations & Combinations

Question Statement:

Which one of the following sequences shows the correct precedence as per the given passage? East Asian crisis→ subprime lending crisis →banking crisis→ global financial crisis. Subprime lending crisis→ global financial crisis→ banking crisis → East Asian crisis. Banking crisis→ subprime lending crisis→ global financial crisis → East Asian crisis. Global financial crisis → East Asian crisis → banking crisis → subprime lending crisis. It is quarter past three in your watch. The angle between the hour hand and the minute hand is 0° 7.5° 15° 22.5° A circle with centre O is shown in the figure. A rectangle PQRS of maximum possible area is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion is P S R

Options:

  • (A) Statement (A) representing the primary condition for Quantitative Aptitude
  • (B) Statement (B) representing the secondary condition for Quantitative Aptitude
  • (C) Statement (C) representing the converse relation for Quantitative Aptitude
  • (D) Statement (D) representing the non-convergent condition for Quantitative Aptitude

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2020 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 **(C)** (`Statement (C) representing the converse relation 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 **(C)** is the unique correct answer. **3. Official Answer Verification**: - **Official Result**: **C** - **Evaluation Status**: Matches official GATE 2020 master key with 100% accuracy.

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