GATE Mechanical 2022 Set 1 | GA | Question: 4

Question

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

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 $:\text{B}$

Answer 2

whenever these types of questions come try to put every condition on a horizontal line.

lets go step by step.

1- French is easier than Dutch

---------F----------D---------

2- chinese is harder than japanese , but here we have not given any correlation with first two languages so let leave it for now, 

---------F----------D---------

3- 

Dutch is easier than Japanese

---------F----------D---------J---------

4- Spanish is easier than French.

----S-----F----------D---------J--------

now see condition 2nd chinese is harder than japanese so it ( chinese ) must come first 

--------S-----F----------D---------J-------C------- ( finally all satisfying the conditions)

now, according to question  Q is learning Chinese and Japanese

so Answer is B (Q)