GATE Mechanical 2024 | GA | Question: 8

Question

The bar chart gives the batting averages of $\mathrm{VK}$ and $\mathrm{RS}$ 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?

• A. $\mathrm{RS}$ has a higher yearly batting average than that of $\mathrm{VK}$ in every world cup year.
• B. $\mathrm{VK}$ has a higher yearly batting average than that of $\mathrm{RS}$ in every world cup year.
• C. $\mathrm{VK’s}$ yearly batting average is consistently higher than that of $\mathrm{RS}$ between the two world cup years.
• D. $\mathrm{RS’s}$ yearly batting average is consistently higher than that of $\mathrm{VK}$ in the last three years.

Comments

consistently: This means the condition must hold true for every single year mentioned in that specific timeframe. If even one year fails, that option is false.

Answer 1

Option A) RS has a higher yearly batting average than that of VK in every world cup year.

$\overbrace{\underbrace{45}_{RS} \quad > \quad \underbrace{36}_{VK}}^{2015} \quad \quad \overbrace{\underbrace{56}_{RS} \quad < \quad \underbrace{60}_{VK}}^{2019}$

Option B) VK has a higher yearly batting average than that of RS in every world cup year.

$\overbrace{\underbrace{45}_{RS} \quad > \quad \underbrace{36}_{VK}}^{2015} \quad \quad \overbrace{\underbrace{56}_{RS} \quad < \quad \underbrace{60}_{VK}}^{2019}$

Option C) VK′s yearly batting average is consistently higher than that of RS between the two world cup years.

$\overbrace{\underbrace{64}_{RS} \quad < \quad \underbrace{92}_{VK}}^{2016} \quad \quad \overbrace{\underbrace{72}_{RS} \quad < \quad \underbrace{76}_{VK}}^{2017} \quad \quad \overbrace{\underbrace{76}_{RS} \quad < \quad \underbrace{132}_{VK}}^{2018}$

Option D) RS′s yearly batting average is consistently higher than that of VK in the last three years.

$\overbrace{\underbrace{56}_{RS} \quad > \quad \underbrace{48}_{VK}}^{2020} \quad \quad \overbrace{\underbrace{30}_{RS} \quad < \quad \underbrace{42}_{VK}}^{2021} \quad \quad \overbrace{\underbrace{42}_{RS} \quad > \quad \underbrace{28}_{VK}}^{2022}$