GATE Mechanical 2022 Set 1 | GA Question: 4

Question

Four girls $\text{P, Q, R and S}$ are studying languages in a University. $P$ is learning French and Dutch. $Q$ is learning Chinese and Japanese. $R$ is learning Spanish and French. $S$ is learning Dutch and Japanese.

Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French.

Based on the above information, which girl is learning the most difficult pair of languages?

• A. $P$
• B. $Q$
• C. $R$
• D. $S$

Answer 1

Given that,

• $\text{P}$
  • French
  • Dutch
• $\text{Q}$
  • Chinese
  • Japanese
• $\text{R}$
  • Spanish
  • French
• $\text{S}$
  • Dutch
  • Japanese

French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French.

Using the above information we get, $\underbrace{{\color{Red}{\text{Chinese}}} > {\color{Magenta}{\text{Japanese}}}}_{{\color{orange}{\text{Most difficult pair of languages}}}} >{\color{Purple}{\text{Dutch}}}>{\color{Blue}{\text{French}}} > {\color{Green}{\text{Spanish}}}.$

$\therefore$ A girl $\text{Q}$ is learning the most difficult pair of languages.

Correct Answer $:\text{B}$