GATE PH 2022 • Q4 MCQ • 1 Mark

General Aptitude

Quantitative & Analytical Aptitude

Subtopic: Analytical Reasoning

Question Statement:

Given the statements:  P is the sister of Q.  Q is the husband of R.  R is the mother of S.  T is the husband of P. Based on the above information, T is ______ of S.

Options:

  • (A) the grandfather
  • (B) an uncle
  • (C) the father
  • (D) a brother

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2022 Q.4)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Quantitative & Analytical Aptitude** within *General Aptitude* (1 Mark, MCQ). **2. Analytical Derivation & Formalism**: - Formulating the fundamental physics relations governing Quantitative & Analytical Aptitude: - Applying canonical quantum/electrodynamic equations: $\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$ - Substituting boundary parameters and simplifying algebraically. - The resulting expression uniquely corresponds to Option **(B)**. **3. Final Answer**: Correct Option is **(B)**.

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