Tanya is older than Eric. Chff is older than Tanya. Eric is older than Cliff. If the first two statements are true, then the third statement is:
Options:
(A) True
(B) False
(C) Uncertain
(D) Data insufficient
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2015 Q.3)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (1 Mark, MCQ)
- **Topic**: Quantitative Aptitude (Arithmetic & Numerical Estimation)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> Tanya is older than Eric. Chff is older than Tanya. Eric is older than Cliff. If the first two statements are true, then the third statement is:
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Quantitative Aptitude** (Arithmetic & Numerical Estimation) under *General Aptitude*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"True"*: ❌ **INCORRECT**.
- **(B)** *"False"*: ✅ **CORRECT**.
- **(C)** *"Uncertain"*: ❌ **INCORRECT**.
- **(D)** *"Data insufficient"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2015 (IIT Kanpur) master answer key with 100% precision.
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