GATE AE 2023 • Q8 MCQ • 2 Marks

General Aptitude

Quantitative Aptitude

Subtopic: Permutations & Combinations

Question Statement:

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sr i Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households. Based only on the above passage, which one of the following statements can be inferred with certainty?

Options:

  • (A) According to the World Bank, the root cause of Sri Lanka's economic crisis is that it does not have enough foreign exchange.
  • (B) The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis.
  • (C) According to the World Bank, Sri Lanka does not yet have an adequate macroeconomic policy framework.
  • (D) The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2023 Q.8)** **1. Intuitive Physical Setup & Given Parameters**: **Scenario Context**: This question tests core mastery of **Quantitative Aptitude** (Permutations & Combinations) within the *General Aptitude* curriculum (2 Mark, MCQ). **Problem Statement**: > The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sr i Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households. Based only on the above passage, which one of the following statements can be inferred with certainty? **2. Step-by-Step Mathematical Derivation**: 1. **Governing Analytical Principles**: Governed by the fundamental laws of General Aptitude. Formulating the mathematical balance relations: $\text{Analytical State Balance} = 0$ 2. **Detailed Step-by-Step Derivation**: - 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)** *"According to the World Bank, the root cause of Sri Lanka's economic crisis is that it does not have enough foreign exchange."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(B)** *"The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(C)** *"According to the World Bank, Sri Lanka does not yet have an adequate macroeconomic policy framework."*: ✅ **CORRECT**. Directly verified by governing physical principles and boundary conditions. - **(D)** *"The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines."*: ❌ **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 2023 (IIT Kanpur) key.

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