The bar chart gives the batting averages of VK and RS for 11 calendar years from
2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of
the following options is true?
Options:
(A) RS has a higher yearly batting average than that of VK in every world cup year.
(B) VK has a higher yearly batting average than that of RS in every world cup year.
(C) VK's yearly batting average is consistently higher than that of RS between the two
world cup years.
(D) RS's yearly batting average is consistently higher than that of VK in the last three
years.
0
20
40
60
80
100
120
140
2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022
Batting Average
Calendar Year
VK RS
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2024 Q.8)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Quantitative & Analytical Aptitude** within *General Aptitude* (2 Marks, 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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