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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?

  1. $P$
  2. $Q$
  3. $R$
  4. $S$
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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 $:\text{B}$

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